$SPAD/src/input richder18.input

Albert Rich and Timothy Daly

December 3, 2016

Abstract

x^m (a x^q+b x^n+c x^(2 n-q))^p

Contents

2

— * —

)set break resume
)sys rm -f richder18.output
)spool richder18.output
)set message test on
)set message auto off
)clear all
--S 1 of 1125
t0:=(A+B*x)*(d+e*x)^m*(b*x+c*x^2)
--E 1
--S 2 of 1125
r0:=-d*(B*d-A*e)*(c*d-b*e)*(d+e*x)^(1+m)/(e^4*(1+m))+(B*d*(3*c*d-2*b*e)-_
     A*e*(2*c*d-b*e))*(d+e*x)^(2+m)/(e^4*(2+m))-(3*B*c*d-b*B*e-A*c*e)*_
     (d+e*x)^(3+m)/(e^4*(3+m))+B*c*(d+e*x)^(4+m)/(e^4*(4+m))
--E 2
--S 3 of 1125
d0:=normalize(D(m0,x))
--E 3
)clear all
--S 4 of 1125
t0:=(A+B*x)*(d+e*x)^5*(b*x+c*x^2)
--E 4
--S 5 of 1125
r0:=-1/6*d*(B*d-A*e)*(c*d-b*e)*(d+e*x)^6/e^4+1/7*(B*d*(3*c*d-2*b*e)-_
     A*e*(2*c*d-b*e))*(d+e*x)^7/e^4-1/8*(3*B*c*d-b*B*e-A*c*e)*(d+e*x)^8/e^4+_
     1/9*B*c*(d+e*x)^9/e^4
--E 5
--S 6 of 1125
d0:=D(m0,x)
--E 6
)clear all
--S 7 of 1125
t0:=(A+B*x)*(d+e*x)^4*(b*x+c*x^2)
--E 7
--S 8 of 1125
r0:=-1/5*d*(B*d-A*e)*(c*d-b*e)*(d+e*x)^5/e^4+1/6*(B*d*(3*c*d-2*b*e)-_
     A*e*(2*c*d-b*e))*(d+e*x)^6/e^4-1/7*(3*B*c*d-b*B*e-A*c*e)*(d+e*x)^7/e^4+_
     1/8*B*c*(d+e*x)^8/e^4

--E 8
--S 9 of 1125
d0:=D(m0,x)
--E 9
)clear all
--S 10 of 1125
t0:=(A+B*x)*(d+e*x)^3*(b*x+c*x^2)
--E 10
--S 11 of 1125
r0:=-1/4*d*(B*d-A*e)*(c*d-b*e)*(d+e*x)^4/e^4+1/5*(B*d*(3*c*d-2*b*e)-_
     A*e*(2*c*d-b*e))*(d+e*x)^5/e^4-1/6*(3*B*c*d-b*B*e-A*c*e)*(d+e*x)^6/e^4+_
     1/7*B*c*(d+e*x)^7/e^4
--E 11
--S 12 of 1125
d0:=D(m0,x)
--E 12
)clear all
--S 13 of 1125
t0:=(A+B*x)*(d+e*x)^2*(b*x+c*x^2)
--E 13
--S 14 of 1125
r0:=1/2*A*b*d^2*x^2+1/3*d*(b*B*d+A*c*d+2*A*b*e)*x^3+1/4*(A*e*(2*c*d+b*e)+_
     B*d*(c*d+2*b*e))*x^4+1/5*e*(2*B*c*d+b*B*e+A*c*e)*x^5+1/6*B*c*e^2*x^6
--E 14
--S 15 of 1125
d0:=D(m0,x)
--E 15
)clear all
--S 16 of 1125
t0:=(A+B*x)*(d+e*x)*(b*x+c*x^2)
--E 16
--S 17 of 1125
r0:=1/2*A*b*d*x^2+1/3*(b*B*d+A*c*d+A*b*e)*x^3+1/4*(B*c*d+b*B*e+A*c*e)*x^4+_
     1/5*B*c*e*x^5
--E 17
--S 18 of 1125
d0:=D(m0,x)

--E 18
)clear all
--S 19 of 1125
t0:=(A+B*x)*(b*x+c*x^2)
--E 19
--S 20 of 1125
r0:=1/2*A*b*x^2+1/3*(b*B+A*c)*x^3+1/4*B*c*x^4
--E 20
--S 21 of 1125
d0:=D(m0,x)
--E 21
)clear all
--S 22 of 1125
t0:=(A+B*x)*(b*x+c*x^2)/(d+e*x)
--E 22
--S 23 of 1125
r0:=(B*d-A*e)*(c*d-b*e)*x/e^3-1/2*(B*c*d-b*B*e-A*c*e)*x^2/e^2+_
     1/3*B*c*x^3/e-d*(B*d-A*e)*(c*d-b*e)*log(d+e*x)/e^4
--E 23
--S 24 of 1125
d0:=D(m0,x)
--E 24
)clear all
--S 25 of 1125
t0:=(A+B*x)*(b*x+c*x^2)/(d+e*x)^2
--E 25
--S 26 of 1125
r0:=-(2*B*c*d-b*B*e-A*c*e)*x/e^3+1/2*B*c*x^2/e^2+d*(B*d-A*e)*_
     (c*d-b*e)/(e^4*(d+e*x))+(B*d*(3*c*d-2*b*e)-A*e*(2*c*d-b*e))*log(d+e*x)/e^4
--E 26
--S 27 of 1125
d0:=D(m0,x)
--E 27
)clear all
--S 28 of 1125
t0:=(A+B*x)*(b*x+c*x^2)/(d+e*x)^3

--E 28
--S 29 of 1125
r0:=B*c*x/e^3+1/2*d*(B*d-A*e)*(c*d-b*e)/(e^4*(d+e*x)^2)+(-B*d*(3*c*d-_
     2*b*e)+A*e*(2*c*d-b*e))/(e^4*(d+e*x))-(3*B*c*d-b*B*e-A*c*e)*log(d+_
     e*x)/e^4
--E 29
--S 30 of 1125
d0:=D(m0,x)
--E 30
)clear all
--S 31 of 1125
t0:=(A+B*x)*(b*x+c*x^2)/(d+e*x)^4
--E 31
--S 32 of 1125
r0:=1/3*d*(B*d-A*e)*(c*d-b*e)/(e^4*(d+e*x)^3)+1/2*(-B*d*(3*c*d-2*b*e)+_
     A*e*(2*c*d-b*e))/(e^4*(d+e*x)^2)+(3*B*c*d-b*B*e-A*c*e)/(e^4*(d+e*x))+_
     B*c*log(d+e*x)/e^4
--E 32
--S 33 of 1125
d0:=D(m0,x)
--E 33
)clear all
--S 34 of 1125
t0:=(A+B*x)*(b*x+c*x^2)/(d+e*x)^5
--E 34
--S 35 of 1125
r0:=1/4*d*(B*d-A*e)*(c*d-b*e)/(e^4*(d+e*x)^4)+1/3*(-B*d*(3*c*d-2*b*e)+_
     A*e*(2*c*d-b*e))/(e^4*(d+e*x)^3)+1/2*(3*B*c*d-b*B*e-A*c*e)/(e^4*_
     (d+e*x)^2)-B*c/(e^4*(d+e*x))
--E 35
--S 36 of 1125
d0:=D(m0,x)
--E 36
)clear all
--S 37 of 1125
t0:=(A+B*x)*(b*x+c*x^2)/(d+e*x)^6
--E 37

--S 38 of 1125
r0:=1/5*d*(B*d-A*e)*(c*d-b*e)/(e^4*(d+e*x)^5)+1/4*(-B*d*(3*c*d-2*b*e)+_
     A*e*(2*c*d-b*e))/(e^4*(d+e*x)^4)+1/3*(3*B*c*d-b*B*e-A*c*e)/(e^4*_
     (d+e*x)^3)-1/2*B*c/(e^4*(d+e*x)^2)
--E 38
--S 39 of 1125
d0:=D(m0,x)
--E 39
)clear all
--S 40 of 1125
t0:=(A+B*x)*(b*x+c*x^2)/(d+e*x)^7
--E 40
--S 41 of 1125
r0:=1/6*d*(B*d-A*e)*(c*d-b*e)/(e^4*(d+e*x)^6)+1/5*(-B*d*(3*c*d-2*b*e)+_
     A*e*(2*c*d-b*e))/(e^4*(d+e*x)^5)+1/4*(3*B*c*d-b*B*e-A*c*e)/(e^4*_
     (d+e*x)^4)-1/3*B*c/(e^4*(d+e*x)^3)
--E 41
--S 42 of 1125
d0:=D(m0,x)
--E 42
)clear all
--S 43 of 1125
t0:=(A+B*x)*(d+e*x)^m*(b*x+c*x^2)^2
--E 43
--S 44 of 1125
r0:=-d^2*(B*d-A*e)*(c*d-b*e)^2*(d+e*x)^(1+m)/(e^6*(1+m))+d*(c*d-b*e)*_
     (B*d*(5*c*d-3*b*e)-2*A*e*(2*c*d-b*e))*(d+e*x)^(2+m)/(e^6*(2+m))+_
     (A*e*(6*c^2*d^2-6*b*c*d*e+b^2*e^2)-B*d*(10*c^2*d^2-12*b*c*d*e+_
     3*b^2*e^2))*(d+e*x)^(3+m)/(e^6*(3+m))-(2*A*c*e*(2*c*d-b*e)-_
     B*(10*c^2*d^2-8*b*c*d*e+b^2*e^2))*(d+e*x)^(4+m)/(e^6*(4+m))-_
     c*(5*B*c*d-2*b*B*e-A*c*e)*(d+e*x)^(5+m)/(e^6*(5+m))+B*c^2*_
     (d+e*x)^(6+m)/(e^6*(6+m))
--E 44
--S 45 of 1125
d0:=normalize(D(m0,x))
--E 45
)clear all
--S 46 of 1125
t0:=(A+B*x)*(d+e*x)^4*(b*x+c*x^2)^2

--E 46
--S 47 of 1125
r0:=-1/5*d^2*(B*d-A*e)*(c*d-b*e)^2*(d+e*x)^5/e^6+1/6*d*(c*d-b*e)*(B*d*_
     (5*c*d-3*b*e)-2*A*e*(2*c*d-b*e))*(d+e*x)^6/e^6+1/7*(A*e*(6*c^2*d^2-_
     6*b*c*d*e+b^2*e^2)-B*d*(10*c^2*d^2-12*b*c*d*e+3*b^2*e^2))*_
     (d+e*x)^7/e^6-1/8*(2*A*c*e*(2*c*d-b*e)-B*(10*c^2*d^2-8*b*c*d*e+_
     b^2*e^2))*(d+e*x)^8/e^6-1/9*c*(5*B*c*d-2*b*B*e-A*c*e)*_
     (d+e*x)^9/e^6+1/10*B*c^2*(d+e*x)^10/e^6
--E 47
--S 48 of 1125
d0:=D(m0,x)
--E 48
)clear all
--S 49 of 1125
t0:=(A+B*x)*(d+e*x)^3*(b*x+c*x^2)^2
--E 49
--S 50 of 1125
r0:=1/3*A*b^2*d^3*x^3+1/4*b*d^2*(b*B*d+2*A*c*d+3*A*b*e)*x^4+1/5*d*(A*c^2*_
     d^2+3*b^2*e*(B*d+A*e)+2*b*c*d*(B*d+3*A*e))*x^5+1/6*(A*e*(3*c^2*d^2+_
     6*b*c*d*e+b^2*e^2)+B*d*(c^2*d^2+6*b*c*d*e+3*b^2*e^2))*x^6+1/7*e*_
     (A*c*e*(3*c*d+2*b*e)+B*(3*c^2*d^2+6*b*c*d*e+b^2*e^2))*x^7+_
     1/8*c*e^2*(3*B*c*d+2*b*B*e+A*c*e)*x^8+1/9*B*c^2*e^3*x^9
--E 50
--S 51 of 1125
d0:=D(m0,x)
--E 51
)clear all
--S 52 of 1125
t0:=(A+B*x)*(d+e*x)^2*(b*x+c*x^2)^2
--E 52
--S 53 of 1125
r0:=1/3*A*b^2*d^2*x^3+1/4*b*d*(b*B*d+2*A*c*d+2*A*b*e)*x^4+1/5*(A*c^2*d^2+_
     b^2*e*(2*B*d+A*e)+2*b*c*d*(B*d+2*A*e))*x^5+1/6*(2*A*c*e*(c*d+b*e)+_
     B*(c^2*d^2+4*b*c*d*e+b^2*e^2))*x^6+1/7*c*e*(A*c*e+2*B*(c*d+b*e))*_
     x^7+1/8*B*c^2*e^2*x^8
--E 53
--S 54 of 1125
d0:=D(m0,x)
--E 54

)clear all
--S 55 of 1125
t0:=(A+B*x)*(d+e*x)*(b*x+c*x^2)^2
--E 55
--S 56 of 1125
r0:=1/3*A*b^2*d*x^3+1/4*b*(b*B*d+2*A*c*d+A*b*e)*x^4+1/5*(A*c^2*d+b^2*B*e+_
     2*b*c*(B*d+A*e))*x^5+1/6*c*(B*c*d+2*b*B*e+A*c*e)*x^6+1/7*B*c^2*e*x^7
--E 56
--S 57 of 1125
d0:=D(m0,x)
--E 57
)clear all
--S 58 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^2
--E 58
--S 59 of 1125
r0:=1/3*A*b^2*x^3+1/4*b*(b*B+2*A*c)*x^4+1/5*c*(2*b*B+A*c)*x^5+1/6*B*c^2*x^6
--E 59
--S 60 of 1125
d0:=D(m0,x)
--E 60
)clear all
--S 61 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^2/(d+e*x)
--E 61
--S 62 of 1125
r0:=d*(B*d-A*e)*(c*d-b*e)^2*x/e^5-1/2*(B*d-A*e)*(c*d-b*e)^2*x^2/e^4-_
     1/3*(A*c*e*(c*d-2*b*e)-B*(c*d-b*e)^2)*x^3/e^3-1/4*c*(B*c*d-2*b*B*e-_
     A*c*e)*x^4/e^2+1/5*B*c^2*x^5/e-d^2*(B*d-A*e)*(c*d-b*e)^2*log(d+e*x)/e^6
--E 62
--S 63 of 1125
d0:=D(m0,x)
--E 63
)clear all
--S 64 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^2/(d+e*x)^2
--E 64

--S 65 of 1125
r0:=-(c*d-b*e)*(2*B*d*(2*c*d-b*e)-A*e*(3*c*d-b*e))*x/e^5+1/2*(c*d-b*e)*_
     (3*B*c*d-b*B*e-2*A*c*e)*x^2/e^4-1/3*c*(2*B*c*d-2*b*B*e-A*c*e)*x^3/e^3+_
     1/4*B*c^2*x^4/e^2+d^2*(B*d-A*e)*(c*d-b*e)^2/(e^6*(d+e*x))+d*_
     (c*d-b*e)*(B*d*(5*c*d-3*b*e)-2*A*e*(2*c*d-b*e))*log(d+e*x)/e^6
--E 65
--S 66 of 1125
d0:=D(m0,x)
--E 66
)clear all
--S 67 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^2/(d+e*x)^3
--E 67
--S 68 of 1125
r0:=-(A*c*e*(3*c*d-2*b*e)-B*(6*c^2*d^2-6*b*c*d*e+b^2*e^2))*x/e^5-1/2*c*_
     (3*B*c*d-2*b*B*e-A*c*e)*x^2/e^4+1/3*B*c^2*x^3/e^3+1/2*d^2*(B*d-A*e)*_
     (c*d-b*e)^2/(e^6*(d+e*x)^2)-d*(c*d-b*e)*(B*d*(5*c*d-3*b*e)-2*A*e*_
     (2*c*d-b*e))/(e^6*(d+e*x))+(A*e*(6*c^2*d^2-6*b*c*d*e+b^2*e^2)-_
     B*d*(10*c^2*d^2-12*b*c*d*e+3*b^2*e^2))*log(d+e*x)/e^6
--E 68
--S 69 of 1125
d0:=D(m0,x)
--E 69
)clear all
--S 70 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^2/(d+e*x)^4
--E 70
--S 71 of 1125
r0:=-c*(4*B*c*d-2*b*B*e-A*c*e)*x/e^5+1/2*B*c^2*x^2/e^4+1/3*d^2*(B*d-A*e)*_
     (c*d-b*e)^2/(e^6*(d+e*x)^3)-1/2*d*(c*d-b*e)*(B*d*(5*c*d-3*b*e)-_
     2*A*e*(2*c*d-b*e))/(e^6*(d+e*x)^2)+(-A*e*(6*c^2*d^2-6*b*c*d*e+_
     b^2*e^2)+B*d*(10*c^2*d^2-12*b*c*d*e+3*b^2*e^2))/(e^6*(d+e*x))-_
     (2*A*c*e*(2*c*d-b*e)-B*(10*c^2*d^2-8*b*c*d*e+b^2*e^2))*log(d+e*x)/e^6
--E 71
--S 72 of 1125
d0:=D(m0,x)
--E 72
)clear all

--S 73 of 1125
t0:=(A+B*x)*(d+e*x)^m*(b*x+c*x^2)^3
--E 73
--S 74 of 1125
r0:=-d^3*(B*d-A*e)*(c*d-b*e)^3*(d+e*x)^(1+m)/(e^8*(1+m))+d^2*(c*d-b*e)^2*_
     (B*d*(7*c*d-4*b*e)-3*A*e*(2*c*d-b*e))*(d+e*x)^(2+m)/(e^8*(2+m))+_
     3*d*(c*d-b*e)*(A*e*(5*c^2*d^2-5*b*c*d*e+b^2*e^2)-B*d*(7*c^2*d^2-_
     8*b*c*d*e+2*b^2*e^2))*(d+e*x)^(3+m)/(e^8*(3+m))+(B*d*(35*c^3*d^3-_
     60*b*c^2*d^2*e+30*b^2*c*d*e^2-4*b^3*e^3)-A*e*(20*c^3*d^3-30*b*c^2*_
     d^2*e+12*b^2*c*d*e^2-b^3*e^3))*(d+e*x)^(4+m)/(e^8*(4+m))+(3*A*c*e*_
     (5*c^2*d^2-5*b*c*d*e+b^2*e^2)-B*(35*c^3*d^3-45*b*c^2*d^2*e+15*b^2*_
     c*d*e^2-b^3*e^3))*(d+e*x)^(5+m)/(e^8*(5+m))-3*c*(A*c*e*(2*c*d-b*e)-_
     B*(7*c^2*d^2-6*b*c*d*e+b^2*e^2))*(d+e*x)^(6+m)/(e^8*(6+m))-c^2*_
     (7*B*c*d-3*b*B*e-A*c*e)*(d+e*x)^(7+m)/(e^8*(7+m))+B*c^3*_
     (d+e*x)^(8+m)/(e^8*(8+m))
--E 74
--S 75 of 1125
d0:=normalize(D(m0,x))
--E 75
)clear all
--S 76 of 1125
t0:=(A+B*x)*(d+e*x)^4*(b*x+c*x^2)^3
--E 76
--S 77 of 1125
r0:=1/4*A*b^3*d^4*x^4+1/5*b^2*d^3*(b*B*d+3*A*c*d+4*A*b*e)*x^5+1/6*b*d^2*_
     (3*A*c^2*d^2+2*b^2*e*(2*B*d+3*A*e)+3*b*c*d*(B*d+4*A*e))*x^6+1/7*d*_
     (A*c^3*d^3+2*b^3*e^2*(3*B*d+2*A*e)+6*b^2*c*d*e*(2*B*d+3*A*e)+3*b*_
     c^2*d^2*(B*d+4*A*e))*x^7+1/8*(A*e*(4*c^3*d^3+18*b*c^2*d^2*e+12*_
     b^2*c*d*e^2+b^3*e^3)+B*d*(c^3*d^3+12*b*c^2*d^2*e+18*b^2*c*d*e^2+4*_
     b^3*e^3))*x^8+1/9*e*(3*A*c*e*(2*c^2*d^2+4*b*c*d*e+b^2*e^2)+B*_
     (4*c^3*d^3+18*b*c^2*d^2*e+12*b^2*c*d*e^2+b^3*e^3))*x^9+1/10*c*e^2*_
     (A*c*e*(4*c*d+3*b*e)+3*B*(2*c^2*d^2+4*b*c*d*e+b^2*e^2))*x^10+1/11*_
     c^2*e^3*(4*B*c*d+3*b*B*e+A*c*e)*x^11+1/12*B*c^3*e^4*x^12
--E 77
--S 78 of 1125
d0:=D(m0,x)
--E 78
)clear all
--S 79 of 1125
t0:=(A+B*x)*(d+e*x)^3*(b*x+c*x^2)^3
--E 79

--S 80 of 1125
r0:=1/4*A*b^3*d^3*x^4+1/5*b^2*d^2*(b*B*d+3*A*c*d+3*A*b*e)*x^5+1/2*b*d*_
     (A*c^2*d^2+b^2*e*(B*d+A*e)+b*c*d*(B*d+3*A*e))*x^6+1/7*(A*c^3*d^3+_
     9*b^2*c*d*e*(B*d+A*e)+b^3*e^2*(3*B*d+A*e)+3*b*c^2*d^2*(B*d+3*A*e))*_
     x^7+1/8*(3*A*c*e*(c^2*d^2+3*b*c*d*e+b^2*e^2)+B*(c^3*d^3+9*b*c^2*d^2*e+_
     9*b^2*c*d*e^2+b^3*e^3))*x^8+1/3*c*e*(A*c*e*(c*d+b*e)+B*(c^2*d^2+_
     3*b*c*d*e+b^2*e^2))*x^9+1/10*c^2*e^2*(A*c*e+3*B*(c*d+b*e))*x^10+_
     1/11*B*c^3*e^3*x^11
--E 80
--S 81 of 1125
d0:=D(m0,x)
--E 81
)clear all
--S 82 of 1125
t0:=(A+B*x)*(d+e*x)^2*(b*x+c*x^2)^3
--E 82
--S 83 of 1125
r0:=1/4*A*b^3*d^2*x^4+1/5*b^2*d*(b*B*d+3*A*c*d+2*A*b*e)*x^5+1/6*b*_
     (3*A*c^2*d^2+b^2*e*(2*B*d+A*e)+3*b*c*d*(B*d+2*A*e))*x^6+1/7*_
     (A*c^3*d^2+b^3*B*e^2+3*b^2*c*e*(2*B*d+A*e)+3*b*c^2*d*(B*d+2*A*e))*x^7+_
     1/8*c*(A*c*e*(2*c*d+3*b*e)+B*(c^2*d^2+6*b*c*d*e+3*b^2*e^2))*x^8+_
     1/9*c^2*e*(2*B*c*d+3*b*B*e+A*c*e)*x^9+1/10*B*c^3*e^2*x^10
--E 83
--S 84 of 1125
d0:=D(m0,x)
--E 84
)clear all
--S 85 of 1125
t0:=(A+B*x)*(d+e*x)*(b*x+c*x^2)^3
--E 85
--S 86 of 1125
r0:=1/4*A*b^3*d*x^4+1/5*b^2*(b*B*d+3*A*c*d+A*b*e)*x^5+1/6*b*(3*A*c^2*d+_
     b^2*B*e+3*b*c*(B*d+A*e))*x^6+1/7*c*(A*c^2*d+3*b^2*B*e+3*b*c*(B*d+_
     A*e))*x^7+1/8*c^2*(B*c*d+3*b*B*e+A*c*e)*x^8+1/9*B*c^3*e*x^9
--E 86
--S 87 of 1125
d0:=D(m0,x)
--E 87
)clear all

--S 88 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^3
--E 88
--S 89 of 1125
r0:=1/4*A*b^3*x^4+1/5*b^2*(b*B+3*A*c)*x^5+1/2*b*c*(b*B+A*c)*x^6+_
     1/7*c^2*(3*b*B+A*c)*x^7+1/8*B*c^3*x^8
--E 89
--S 90 of 1125
d0:=D(m0,x)
--E 90
)clear all
--S 91 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^3/(d+e*x)
--E 91
--S 92 of 1125
r0:=d^2*(B*d-A*e)*(c*d-b*e)^3*x/e^7-1/2*d*(B*d-A*e)*(c*d-b*e)^3*x^2/e^6+_
     1/3*(B*d-A*e)*(c*d-b*e)^3*x^3/e^5-1/4*(B*(c*d-b*e)^3-A*c*e*(c^2*d^2-_
     3*b*c*d*e+3*b^2*e^2))*x^4/e^4-1/5*c*(A*c*e*(c*d-3*b*e)-B*(c^2*d^2-_
     3*b*c*d*e+3*b^2*e^2))*x^5/e^3-1/6*c^2*(B*c*d-3*b*B*e-A*c*e)*x^6/e^2+_
     1/7*B*c^3*x^7/e-d^3*(B*d-A*e)*(c*d-b*e)^3*log(d+e*x)/e^8
--E 92
--S 93 of 1125
d0:=D(m0,x)
--E 93
)clear all
--S 94 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^3/(d+e*x)^2
--E 94
--S 95 of 1125
r0:=d*(c*d-b*e)^2*(A*e*(5*c*d-2*b*e)-3*B*d*(2*c*d-b*e))*x/e^7+_
     1/2*(c*d-b*e)^2*(B*d*(5*c*d-2*b*e)-A*e*(4*c*d-b*e))*x^2/e^6-_
     1/3*(c*d-b*e)^2*(4*B*c*d-b*B*e-3*A*c*e)*x^3/e^5-1/4*c*(A*c*e*_
     (2*c*d-3*b*e)-3*B*(c*d-b*e)^2)*x^4/e^4-1/5*c^2*(2*B*c*d-3*b*B*e-_
     A*c*e)*x^5/e^3+1/6*B*c^3*x^6/e^2+d^3*(B*d-A*e)*(c*d-b*e)^3/(e^8*_
     (d+e*x))+d^2*(c*d-b*e)^2*(B*d*(7*c*d-4*b*e)-3*A*e*(2*c*d-b*e))*_
     log(d+e*x)/e^8
--E 95
--S 96 of 1125
d0:=D(m0,x)
--E 96

--S 97 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^3/(d+e*x)^3
--E 97
--S 98 of 1125
r0:=-(c*d-b*e)*(A*e*(10*c^2*d^2-8*b*c*d*e+b^2*e^2)-3*B*d*(5*c^2*d^2-_
     5*b*c*d*e+b^2*e^2))*x/e^7+1/2*(c*d-b*e)*(3*A*c*e*(2*c*d-b*e)-_
     B*(10*c^2*d^2-8*b*c*d*e+b^2*e^2))*x^2/e^6+c*(c*d-b*e)*(2*B*c*d-b*B*e-_
     A*c*e)*x^3/e^5-1/4*c^2*(3*B*c*d-3*b*B*e-A*c*e)*x^4/e^4+1/5*B*c^3*_
     x^5/e^3+1/2*d^3*(B*d-A*e)*(c*d-b*e)^3/(e^8*(d+e*x)^2)-d^2*_
     (c*d-b*e)^2*(B*d*(7*c*d-4*b*e)-3*A*e*(2*c*d-b*e))/(e^8*(d+e*x))+_
     3*d*(c*d-b*e)*(A*e*(5*c^2*d^2-5*b*c*d*e+b^2*e^2)-B*d*(7*c^2*d^2-_
     8*b*c*d*e+2*b^2*e^2))*log(d+e*x)/e^8
--E 98
--S 99 of 1125
d0:=D(m0,x)
--E 99
)clear all
--S 100 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^3/(d+e*x)^4
--E 100
--S 101 of 1125
r0:=(A*c*e*(10*c^2*d^2-12*b*c*d*e+3*b^2*e^2)-B*(20*c^3*d^3-30*b*c^2*d^2*e+_
     12*b^2*c*d*e^2-b^3*e^3))*x/e^7-1/2*c*(A*c*e*(4*c*d-3*b*e)-_
     B*(10*c^2*d^2-12*b*c*d*e+3*b^2*e^2))*x^2/e^6-1/3*c^2*(4*B*c*d-_
     3*b*B*e-A*c*e)*x^3/e^5+1/4*B*c^3*x^4/e^4+1/3*d^3*(B*d-A*e)*_
     (c*d-b*e)^3/(e^8*(d+e*x)^3)-1/2*d^2*(c*d-b*e)^2*(B*d*(7*c*d-4*b*e)-_
     3*A*e*(2*c*d-b*e))/(e^8*(d+e*x)^2)-3*d*(c*d-b*e)*(A*e*(5*c^2*d^2-_
     5*b*c*d*e+b^2*e^2)-B*d*(7*c^2*d^2-8*b*c*d*e+2*b^2*e^2))/(e^8*_
     (d+e*x))+(B*d*(35*c^3*d^3-60*b*c^2*d^2*e+30*b^2*c*d*e^2-4*b^3*e^3)-_
     A*e*(20*c^3*d^3-30*b*c^2*d^2*e+12*b^2*c*d*e^2-b^3*e^3))*log(d+e*x)/e^8
--E 101
--S 102 of 1125
d0:=D(m0,x)
--E 102
)clear all
--S 103 of 1125
t0:=(A+B*x)*(d+e*x)^4/(b*x+c*x^2)
--E 103

--S 104 of 1125
r0:=e*(A*c*e*(6*c^2*d^2-4*b*c*d*e+b^2*e^2)+B*(4*c^3*d^3-6*b*c^2*d^2*e+_
     4*b^2*c*d*e^2-b^3*e^3))*x/c^4+1/2*e^2*(A*c*e*(4*c*d-b*e)+B*_
     (6*c^2*d^2-4*b*c*d*e+b^2*e^2))*x^2/c^3+1/3*e^3*(4*B*c*d-b*B*e+_
     A*c*e)*x^3/c^2+1/4*B*e^4*x^4/c+A*d^4*log(x)/b+(b*B-A*c)*_
     (c*d-b*e)^4*log(b+c*x)/(b*c^5)
--E 104
--S 105 of 1125
d0:=D(m0,x)
--E 105
)clear all
--S 106 of 1125
t0:=(A+B*x)*(d+e*x)^3/(b*x+c*x^2)
--E 106
--S 107 of 1125
r0:=e*(A*c*e*(3*c*d-b*e)+B*(3*c^2*d^2-3*b*c*d*e+b^2*e^2))*x/c^3+_
     1/2*e^2*(3*B*c*d-b*B*e+A*c*e)*x^2/c^2+1/3*B*e^3*x^3/c+A*d^3*_
     log(x)/b+(b*B-A*c)*(c*d-b*e)^3*log(b+c*x)/(b*c^4)
--E 107
--S 108 of 1125
d0:=D(m0,x)
--E 108
)clear all
--S 109 of 1125
t0:=(A+B*x)*(d+e*x)^2/(b*x+c*x^2)
--E 109
--S 110 of 1125
r0:=e*(2*B*c*d-b*B*e+A*c*e)*x/c^2+1/2*B*e^2*x^2/c+A*d^2*log(x)/b+_
     (b*B-A*c)*(c*d-b*e)^2*log(b+c*x)/(b*c^3)
--E 110
--S 111 of 1125
d0:=D(m0,x)
--E 111
)clear all
--S 112 of 1125
t0:=(A+B*x)*(d+e*x)/(b*x+c*x^2)
--E 112
--S 113 of 1125

r0:=B*e*x/c+A*d*log(x)/b+(b*B-A*c)*(c*d-b*e)*log(b+c*x)/(b*c^2)
--E 113
--S 114 of 1125
d0:=D(m0,x)
--E 114
)clear all
--S 115 of 1125
t0:=(A+B*x)/(b*x+c*x^2)
--E 115
--S 116 of 1125
r0:=A*log(x)/b+(b*B-A*c)*log(b+c*x)/(b*c)
--E 116
--S 117 of 1125
d0:=D(m0,x)
--E 117
)clear all
--S 118 of 1125
t0:=(A+B*x)/((d+e*x)*(b*x+c*x^2))
--E 118
--S 119 of 1125
r0:=A*log(x)/(b*d)+(b*B-A*c)*log(b+c*x)/(b*(c*d-b*e))-_
     (B*d-A*e)*log(d+e*x)/(d*(c*d-b*e))
--E 119
--S 120 of 1125
d0:=D(m0,x)
--E 120
)clear all
--S 121 of 1125
t0:=(A+B*x)/((d+e*x)^2*(b*x+c*x^2))
--E 121
--S 122 of 1125
r0:=(B*d-A*e)/(d*(c*d-b*e)*(d+e*x))+A*log(x)/(b*d^2)+c*(b*B-A*c)*_
     log(b+c*x)/(b*(c*d-b*e)^2)-(B*c*d^2-A*e*(2*c*d-b*e))*log(d+e*x)/_
     (d^2*(c*d-b*e)^2)
--E 122
--S 123 of 1125
d0:=D(m0,x)

--E 123
)clear all
--S 124 of 1125
t0:=(A+B*x)/((d+e*x)^3*(b*x+c*x^2))
--E 124
--S 125 of 1125
r0:=1/2*(B*d-A*e)/(d*(c*d-b*e)*(d+e*x)^2)+(B*c*d^2-A*e*(2*c*d-b*e))/_
     (d^2*(c*d-b*e)^2*(d+e*x))+A*log(x)/(b*d^3)+c^2*(b*B-A*c)*_
     log(b+c*x)/(b*(c*d-b*e)^3)-(B*c^2*d^3-A*e*(3*c^2*d^2-3*b*c*d*e+_
     b^2*e^2))*log(d+e*x)/(d^3*(c*d-b*e)^3)
--E 125
--S 126 of 1125
d0:=D(m0,x)
--E 126
)clear all
--S 127 of 1125
t0:=(A+B*x)/((d+e*x)^4*(b*x+c*x^2))
--E 127
--S 128 of 1125
r0:=1/3*(B*d-A*e)/(d*(c*d-b*e)*(d+e*x)^3)+1/2*(B*c*d^2-A*e*(2*c*d-b*e))/_
     (d^2*(c*d-b*e)^2*(d+e*x)^2)+(B*c^2*d^3-A*e*(3*c^2*d^2-3*b*c*d*e+_
     b^2*e^2))/(d^3*(c*d-b*e)^3*(d+e*x))+A*log(x)/(b*d^4)+c^3*(b*B-A*c)*_
     log(b+c*x)/(b*(c*d-b*e)^4)-(B*c^3*d^4-A*e*(4*c^3*d^3-_
     6*b*c^2*d^2*e+4*b^2*c*d*e^2-b^3*e^3))*log(d+e*x)/(d^4*(c*d-b*e)^4)
--E 128
--S 129 of 1125
d0:=D(m0,x)
--E 129
)clear all
--S 130 of 1125
t0:=(A+B*x)*(d+e*x)^4/(b*x+c*x^2)^2
--E 130
--S 131 of 1125
r0:=-A*d^4/(b^2*x)+e^3*(4*B*c*d-2*b*B*e+A*c*e)*x/c^3+1/2*B*e^4*x^2/c^2+_
     (b*B-A*c)*(c*d-b*e)^4/(b^2*c^4*(b+c*x))+d^3*(b*B*d-2*A*c*d+_
     4*A*b*e)*log(x)/b^3+(c*d-b*e)^3*(2*A*c^2*d-3*b^2*B*e-b*c*(B*d-_
     2*A*e))*log(b+c*x)/(b^3*c^4)
--E 131

--S 132 of 1125
d0:=D(m0,x)
--E 132
)clear all
--S 133 of 1125
t0:=(A+B*x)*(d+e*x)^3/(b*x+c*x^2)^2
--E 133
--S 134 of 1125
r0:=-A*d^3/(b^2*x)+B*e^3*x/c^2+(b*B-A*c)*(c*d-b*e)^3/(b^2*c^3*(b+c*x))+_
     d^2*(b*B*d-2*A*c*d+3*A*b*e)*log(x)/b^3-(c*d-b*e)^2*(b*B*c*d-_
     2*A*c^2*d+2*b^2*B*e-A*b*c*e)*log(b+c*x)/(b^3*c^3)
--E 134
--S 135 of 1125
d0:=D(m0,x)
--E 135
)clear all
--S 136 of 1125
t0:=(A+B*x)*(d+e*x)^2/(b*x+c*x^2)^2
--E 136
--S 137 of 1125
r0:=-A*d^2/(b^2*x)+(b*B-A*c)*(c*d-b*e)^2/(b^2*c^2*(b+c*x))+d*_
     (b*B*d-2*A*c*d+2*A*b*e)*log(x)/b^3-(c*d-b*e)*(b*B*c*d-2*A*c^2*d+_
     b^2*B*e)*log(b+c*x)/(b^3*c^2)
--E 137
--S 138 of 1125
d0:=D(m0,x)
--E 138
)clear all
--S 139 of 1125
t0:=(A+B*x)*(d+e*x)/(b*x+c*x^2)^2
--E 139
--S 140 of 1125
r0:=-A*d/(b^2*x)+(b*B-A*c)*(c*d-b*e)/(b^2*c*(b+c*x))+(b*B*d-2*A*c*d+A*b*e)*_
     log(x)/b^3-(b*B*d-2*A*c*d+A*b*e)*log(b+c*x)/b^3
--E 140
--S 141 of 1125
d0:=D(m0,x)
--E 141

--S 142 of 1125
t0:=(A+B*x)/(b*x+c*x^2)^2
--E 142
--S 143 of 1125
r0:=-A/(b^2*x)+(b*B-A*c)/(b^2*(b+c*x))+(b*B-2*A*c)*log(x)/b^3-(b*B-2*A*c)*_
     log(b+c*x)/b^3
--E 143
--S 144 of 1125
d0:=D(m0,x)
--E 144
)clear all
--S 145 of 1125
t0:=(A+B*x)/((d+e*x)*(b*x+c*x^2)^2)
--E 145
--S 146 of 1125
r0:=-A/(b^2*d*x)+c*(b*B-A*c)/(b^2*(c*d-b*e)*(b+c*x))+(b*B*d-2*A*c*d-A*b*e)*_
     log(x)/(b^3*d^2)+c*(2*A*c^2*d+2*b^2*B*e-b*c*(B*d+3*A*e))*log(b+c*x)/_
     (b^3*(c*d-b*e)^2)-e^2*(B*d-A*e)*log(d+e*x)/(d^2*(c*d-b*e)^2)
--E 146
--S 147 of 1125
d0:=D(m0,x)
--E 147
)clear all
--S 148 of 1125
t0:=(A+B*x)/((d+e*x)^2*(b*x+c*x^2)^2)
--E 148
--S 149 of 1125
r0:=-A/(b^2*d^2*x)+c^2*(b*B-A*c)/(b^2*(c*d-b*e)^2*(b+c*x))+e^2*(B*d-A*e)/_
     (d^2*(c*d-b*e)^2*(d+e*x))+(b*B*d-2*A*c*d-2*A*b*e)*log(x)/(b^3*d^3)+_
     c^2*(2*A*c^2*d+3*b^2*B*e-b*c*(B*d+4*A*e))*log(b+c*x)/(b^3*_
     (c*d-b*e)^3)+e^2*(2*A*e*(2*c*d-b*e)-B*d*(3*c*d-b*e))*log(d+e*x)/_
     (d^3*(c*d-b*e)^3)
--E 149
--S 150 of 1125
d0:=D(m0,x)
--E 150

--S 151 of 1125
t0:=(A+B*x)/((d+e*x)^3*(b*x+c*x^2)^2)
--E 151
--S 152 of 1125
r0:=-A/(b^2*d^3*x)+c^3*(b*B-A*c)/(b^2*(c*d-b*e)^3*(b+c*x))+1/2*e^2*_
     (B*d-A*e)/(d^2*(c*d-b*e)^2*(d+e*x)^2)-e^2*(2*A*e*(2*c*d-b*e)-B*d*_
     (3*c*d-b*e))/(d^3*(c*d-b*e)^3*(d+e*x))+(b*B*d-2*A*c*d-3*A*b*e)*_
     log(x)/(b^3*d^4)+c^3*(2*A*c^2*d+4*b^2*B*e-b*c*(B*d+5*A*e))*log(b+_
     c*x)/(b^3*(c*d-b*e)^4)-e^2*(B*d*(6*c^2*d^2-4*b*c*d*e+b^2*e^2)-_
     A*e*(10*c^2*d^2-10*b*c*d*e+3*b^2*e^2))*log(d+e*x)/(d^4*(c*d-b*e)^4)
--E 152
--S 153 of 1125
d0:=D(m0,x)
--E 153
)clear all
--S 154 of 1125
t0:=(A+B*x)*(d+e*x)^5/(b*x+c*x^2)^3
--E 154
--S 155 of 1125
r0:=-1/2*A*d^5/(b^3*x^2)-d^4*(b*B*d-3*A*c*d+5*A*b*e)/(b^4*x)+B*e^5*x/c^3-_
     1/2*(b*B-A*c)*(c*d-b*e)^5/(b^3*c^4*(b+c*x)^2)-(c*d-b*e)^4*(2*b*B*c*d-_
     3*A*c^2*d+3*b^2*B*e-2*A*b*c*e)/(b^4*c^4*(b+c*x))+d^3*(6*A*c^2*d^2+_
     5*b^2*e*(B*d+2*A*e)-3*b*c*d*(B*d+5*A*e))*log(x)/b^5-(c*d-b*e)^3*_
     (6*A*c^3*d^2-3*b^3*B*e^2-3*b*c^2*d*(B*d-A*e)-b^2*c*e*(4*B*d-A*e))*_
     log(b+c*x)/(b^5*c^4)
--E 155
--S 156 of 1125
d0:=D(m0,x)
--E 156
)clear all
--S 157 of 1125
t0:=(A+B*x)*(d+e*x)^4/(b*x+c*x^2)^3
--E 157
--S 158 of 1125
r0:=-1/2*A*d^4/(b^3*x^2)-d^3*(b*B*d-3*A*c*d+4*A*b*e)/(b^4*x)-1/2*(b*B-_
     A*c)*(c*d-b*e)^4/(b^3*c^3*(b+c*x)^2)+(c*d-b*e)^3*(3*A*c^2*d-2*b^2*_
     B*e-b*c*(2*B*d-A*e))/(b^4*c^3*(b+c*x))+d^2*(6*A*c^2*d^2+2*b^2*e*_
     (2*B*d+3*A*e)-3*b*c*d*(B*d+4*A*e))*log(x)/b^5+(c*d-b*e)^2*(3*b*B*_
     c^2*d^2-6*A*c^3*d^2+2*b^2*B*c*d*e+b^3*B*e^2)*log(b+c*x)/(b^5*c^3)

--E 158
--S 159 of 1125
d0:=D(m0,x)
--E 159
)clear all
--S 160 of 1125
t0:=(A+B*x)*(d+e*x)^3/(b*x+c*x^2)^3
--E 160
--S 161 of 1125
r0:=-1/2*A*d^3/(b^3*x^2)-d^2*(b*B*d-3*A*c*d+3*A*b*e)/(b^4*x)-1/2*(b*B-A*c)*_
     (c*d-b*e)^3/(b^3*c^2*(b+c*x)^2)-(c*d-b*e)^2*(2*b*B*c*d-3*A*c^2*d+_
     b^2*B*e)/(b^4*c^2*(b+c*x))-3*d*(c*d-b*e)*(b*B*d-2*A*c*d+A*b*e)*_
     log(x)/b^5+3*d*(c*d-b*e)*(b*B*d-2*A*c*d+A*b*e)*log(b+c*x)/b^5
--E 161
--S 162 of 1125
d0:=D(m0,x)
--E 162
)clear all
--S 163 of 1125
t0:=(A+B*x)*(d+e*x)^2/(b*x+c*x^2)^3
--E 163
--S 164 of 1125
r0:=-1/2*A*d^2/(b^3*x^2)-d*(b*B*d-3*A*c*d+2*A*b*e)/(b^4*x)-1/2*(b*B-A*c)*_
     (c*d-b*e)^2/(b^3*c*(b+c*x)^2)-(c*d-b*e)*(2*b*B*d-3*A*c*d+A*b*e)/_
     (b^4*(b+c*x))+(6*A*c^2*d^2+b^2*e*(2*B*d+A*e)-3*b*c*d*(B*d+2*A*e))*_
     log(x)/b^5-(6*A*c^2*d^2+b^2*e*(2*B*d+A*e)-3*b*c*d*(B*d+2*A*e))*_
     log(b+c*x)/b^5
--E 164
--S 165 of 1125
d0:=D(m0,x)
--E 165
)clear all
--S 166 of 1125
t0:=(A+B*x)*(d+e*x)/(b*x+c*x^2)^3
--E 166
--S 167 of 1125
r0:=-1/2*A*d/(b^3*x^2)+(-b*B*d+3*A*c*d-A*b*e)/(b^4*x)-1/2*(b*B-A*c)*_
     (c*d-b*e)/(b^3*(b+c*x)^2)+(3*A*c^2*d+b^2*B*e-2*b*c*(B*d+A*e))/_

     (b^4*(b+c*x))+(6*A*c^2*d+b^2*B*e-3*b*c*(B*d+A*e))*log(x)/b^5-_
     (6*A*c^2*d+b^2*B*e-3*b*c*(B*d+A*e))*log(b+c*x)/b^5
--E 167
--S 168 of 1125
d0:=D(m0,x)
--E 168
)clear all
--S 169 of 1125
t0:=(A+B*x)/(b*x+c*x^2)^3
--E 169
--S 170 of 1125
r0:=-1/2*A/(b^3*x^2)+(-b*B+3*A*c)/(b^4*x)-1/2*c*(b*B-A*c)/(b^3*(b+c*x)^2)-_
     c*(2*b*B-3*A*c)/(b^4*(b+c*x))-3*c*(b*B-2*A*c)*log(x)/b^5+3*c*(b*B-_
     2*A*c)*log(b+c*x)/b^5
--E 170
--S 171 of 1125
d0:=D(m0,x)
--E 171
)clear all
--S 172 of 1125
t0:=(A+B*x)/((d+e*x)*(b*x+c*x^2)^3)
--E 172
--S 173 of 1125
r0:=-1/2*A/(b^3*d*x^2)+(-b*B*d+3*A*c*d+A*b*e)/(b^4*d^2*x)-1/2*c^2*(b*B-_
     A*c)/(b^3*(c*d-b*e)*(b+c*x)^2)+c^2*(3*A*c^2*d+3*b^2*B*e-2*b*c*(B*d+_
     2*A*e))/(b^4*(c*d-b*e)^2*(b+c*x))+(6*A*c^2*d^2-3*b*c*d*(B*d-A*e)-_
     b^2*e*(B*d-A*e))*log(x)/(b^5*d^3)-c^2*(6*A*c^3*d^2-6*b^3*B*e^2-_
     3*b*c^2*d*(B*d+5*A*e)+2*b^2*c*e*(4*B*d+5*A*e))*log(b+c*x)/(b^5*(c*d-_
     b*e)^3)-e^4*(B*d-A*e)*log(d+e*x)/(d^3*(c*d-b*e)^3)
--E 173
--S 174 of 1125
d0:=D(m0,x)
--E 174
)clear all
--S 175 of 1125
t0:=(A+B*x)/((d+e*x)^2*(b*x+c*x^2)^3)
--E 175
--S 176 of 1125

r0:=-1/2*A/(b^3*d^2*x^2)+(-b*B*d+3*A*c*d+2*A*b*e)/(b^4*d^3*x)-1/2*c^3*(b*B-_
     A*c)/(b^3*(c*d-b*e)^2*(b+c*x)^2)-c^3*(2*b*B*c*d-3*A*c^2*d-4*b^2*B*e+_
     5*A*b*c*e)/(b^4*(c*d-b*e)^3*(b+c*x))+e^4*(B*d-A*e)/(d^3*(c*d-b*e)^3*_
     (d+e*x))+(6*A*c^2*d^2-b^2*e*(2*B*d-3*A*e)-3*b*c*d*(B*d-2*A*e))*_
     log(x)/(b^5*d^4)-c^3*(6*A*c^3*d^2-10*b^3*B*e^2+5*b^2*c*e*(2*B*d+_
     3*A*e)-3*b*c^2*d*(B*d+6*A*e))*log(b+c*x)/(b^5*(c*d-b*e)^4)-e^4*_
     (B*d*(5*c*d-2*b*e)-3*A*e*(2*c*d-b*e))*log(d+e*x)/(d^4*(c*d-b*e)^4)
--E 176
--S 177 of 1125
d0:=D(m0,x)
--E 177
)clear all
--S 178 of 1125
t0:=(A+B*x)*(d+e*x)^3*sqrt(b*x+c*x^2)
--E 178
--S 179 of 1125
r0:=1/960*(4*A*c*e*(132*c^2*d^2-132*b*c*d*e+35*b^2*e^2)+B*(64*c^3*d^3-_
     360*b*c^2*d^2*e+366*b^2*c*d*e^2-105*b^3*e^3))*(b*x+c*x^2)^(3/2)/c^4+_
     1/20*(2*B*c*d-3*b*B*e+4*A*c*e)*(d+e*x)^2*(b*x+c*x^2)^(3/2)/c^2+_
     1/6*B*(d+e*x)^3*(b*x+c*x^2)^(3/2)/c-1/160*e*(d*(16*b*B*c*d-40*A*c^2*d-_
     9*b^2*B*e+12*A*b*c*e)-(28*A*c*e*(2*c*d-b*e)+B*(8*c^2*d^2-36*b*c*d*e+_
     21*b^2*e^2))*x)*(b*x+c*x^2)^(3/2)/c^3-1/512*b^2*(128*A*c^4*d^3+_
     21*b^4*B*e^3+120*b^2*c^2*d*e*(B*d+A*e)-28*b^3*c*e^2*(3*B*d+A*e)-_
     64*b*c^3*d^2*(B*d+3*A*e))*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(11/2)+_
     1/512*b*(128*A*c^4*d^3+21*b^4*B*e^3+120*b^2*c^2*d*e*(B*d+A*e)-_
     28*b^3*c*e^2*(3*B*d+A*e)-64*b*c^3*d^2*(B*d+3*A*e))*sqrt(b*x+c*x^2)/c^5+_
     1/256*(128*A*c^4*d^3+21*b^4*B*e^3+120*b^2*c^2*d*e*(B*d+A*e)-_
     28*b^3*c*e^2*(3*B*d+A*e)-64*b*c^3*d^2*(B*d+3*A*e))*x*sqrt(b*x+c*x^2)/c^4
--E 179
--S 180 of 1125
d0:=D(m0,x)
--E 180
)clear all
--S 181 of 1125
t0:=(A+B*x)*(d+e*x)^2*sqrt(b*x+c*x^2)
--E 181
--S 182 of 1125
r0:=1/240*(50*A*c*e*(2*c*d-b*e)+B*(32*c^2*d^2-82*b*c*d*e+35*b^2*e^2))*_
     (b*x+c*x^2)^(3/2)/c^3+1/5*B*(d+e*x)^2*(b*x+c*x^2)^(3/2)/c-1/40*e*_
     ((3*b*B-10*A*c)*d-(4*B*c*d-7*b*B*e+10*A*c*e)*x)*(b*x+c*x^2)^(3/2)/c^2-_
     1/128*b^2*(32*A*c^3*d^2-7*b^3*B*e^2+10*b^2*c*e*(2*B*d+A*e)-_
     16*b*c^2*d*(B*d+2*A*e))*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(9/2)+_

     1/128*b*(32*A*c^3*d^2-7*b^3*B*e^2+10*b^2*c*e*(2*B*d+A*e)-16*b*c^2*_
     d*(B*d+2*A*e))*sqrt(b*x+c*x^2)/c^4+1/64*(32*A*c^3*d^2-7*b^3*B*e^2+_
     10*b^2*c*e*(2*B*d+A*e)-16*b*c^2*d*(B*d+2*A*e))*x*sqrt(b*x+c*x^2)/c^3
--E 182
--S 183 of 1125
d0:=D(m0,x)
--E 183
)clear all
--S 184 of 1125
t0:=(A+B*x)*(d+e*x)*sqrt(b*x+c*x^2)
--E 184
--S 185 of 1125
r0:=1/24*(2*B*c*d-5*b*B*e+8*A*c*e)*(b*x+c*x^2)^(3/2)/c^2+1/4*B*(d+e*x)*_
     (b*x+c*x^2)^(3/2)/c-1/64*b^2*(16*A*c^2*d+5*b^2*B*e-8*b*c*(B*d+A*e))*_
     atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(7/2)+1/64*b*(16*A*c^2*d+5*b^2*B*e-_
     8*b*c*(B*d+A*e))*sqrt(b*x+c*x^2)/c^3+1/32*(16*A*c^2*d+5*b^2*B*e-_
     8*b*c*(B*d+A*e))*x*sqrt(b*x+c*x^2)/c^2
--E 185
--S 186 of 1125
d0:=D(m0,x)
--E 186
)clear all
--S 187 of 1125
t0:=(A+B*x)*sqrt(b*x+c*x^2)
--E 187
--S 188 of 1125
r0:=1/3*B*(b*x+c*x^2)^(3/2)/c+1/8*b^2*(b*B-2*A*c)*atanh(x*sqrt(c)/_
     sqrt(b*x+c*x^2))/c^(5/2)-1/8*b*(b*B-2*A*c)*sqrt(b*x+c*x^2)/c^2-_
     1/4*(b*B-2*A*c)*x*sqrt(b*x+c*x^2)/c
--E 188
--S 189 of 1125
d0:=D(m0,x)
--E 189
)clear all
--S 190 of 1125
t0:=(A+B*x)*sqrt(b*x+c*x^2)/(d+e*x)
--E 190
--S 191 of 1125

r0:=-1/4*(4*A*c*e*(2*c*d-b*e)-B*(8*c^2*d^2-4*b*c*d*e-b^2*e^2))*atanh(x*_
     sqrt(c)/sqrt(b*x+c*x^2))/(c^(3/2)*e^3)-(B*d-A*e)*atanh(1/2*(b*d+_
     (2*c*d-b*e)*x)/(sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))*sqrt(d)*_
     sqrt(c*d-b*e)/e^3-1/4*(4*B*c*d-b*B*e-4*A*c*e-2*B*c*e*x)*sqrt(b*x+_
     c*x^2)/(c*e^2)
--E 191
--S 192 of 1125
d0:=D(m0,x)
--E 192
)clear all
--S 193 of 1125
t0:=(A+B*x)*sqrt(b*x+c*x^2)/(d+e*x)^2
--E 193
--S 194 of 1125
r0:=-(4*B*c*d-b*B*e-2*A*c*e)*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/(e^3*sqrt(c))+_
     1/2*(B*d*(4*c*d-3*b*e)-A*e*(2*c*d-b*e))*atanh(1/2*(b*d+(2*c*d-b*e)*x)/_
     (sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/(e^3*sqrt(d)*sqrt(c*d-b*e))+_
     (2*B*d-A*e+B*e*x)*sqrt(b*x+c*x^2)/(e^2*(d+e*x))
--E 194
--S 195 of 1125
d0:=D(m0,x)
--E 195
)clear all
--S 196 of 1125
t0:=(A+B*x)*sqrt(b*x+c*x^2)/(d+e*x)^3
--E 196
--S 197 of 1125
r0:=1/2*(B*d-A*e)*(b*x+c*x^2)^(3/2)/(d*(c*d-b*e)*(d+e*x)^2)-1/8*(A*b^2*e^3+_
     B*d*(8*c^2*d^2-12*b*c*d*e+3*b^2*e^2))*atanh(1/2*(b*d+(2*c*d-b*e)*x)/_
     (sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/(d^(3/2)*e^3*(c*d-b*e)^(3/2))+_
     2*B*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))*sqrt(c)/e^3+1/4*(A*b*e^2-B*d*_
     (4*c*d-3*b*e)-2*c*e*(B*d-A*e)*x)*sqrt(b*x+c*x^2)/(d*e^2*(c*d-b*e)*(d+e*x))
--E 197
--S 198 of 1125
d0:=D(m0,x)
--E 198
)clear all
--S 199 of 1125
t0:=(A+B*x)*sqrt(b*x+c*x^2)/(d+e*x)^4

--E 199
--S 200 of 1125
r0:=1/16*b^2*(b*B*d-2*A*c*d+A*b*e)*atanh(1/2*(b*d+(2*c*d-b*e)*x)/(sqrt(d)*_
     sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/(d^(5/2)*(c*d-b*e)^(5/2))+1/12*(B*_
     d*(4*c*d-5*b*e)+A*e*(2*c*d-b*e))*sqrt(b*x+c*x^2)/(d*e^2*(c*d-b*e)*_
     (d+e*x)^2)+1/24*(B*d*(8*c^2*d^2-14*b*c*d*e+3*b^2*e^2)+A*e*(4*c^2*_
     d^2-4*b*c*d*e+3*b^2*e^2))*sqrt(b*x+c*x^2)/(d^2*e^2*(c*d-b*e)^2*_
     (d+e*x))-1/3*(2*B*d+A*e+3*B*e*x)*sqrt(b*x+c*x^2)/(e^2*(d+e*x)^3)
--E 200
--S 201 of 1125
d0:=D(m0,x)
--E 201
)clear all
--S 202 of 1125
t0:=(A+B*x)*sqrt(b*x+c*x^2)/(d+e*x)^5
--E 202
--S 203 of 1125
r0:=-1/128*b^2*(16*A*c^2*d^2-8*b*c*d*(B*d+2*A*e)+b^2*e*(3*B*d+5*A*e))*_
     atanh(1/2*(b*d+(2*c*d-b*e)*x)/(sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+_
     c*x^2)))/(d^(7/2)*(c*d-b*e)^(7/2))+1/24*(B*d*(2*c*d-3*b*e)+A*e*(2*c*d-_
     b*e))*sqrt(b*x+c*x^2)/(d*e^2*(c*d-b*e)*(d+e*x)^3)+1/96*(B*d*_
     (8*c^2*d^2-16*b*c*d*e+3*b^2*e^2)+A*e*(8*c^2*d^2-8*b*c*d*e+_
     5*b^2*e^2))*sqrt(b*x+c*x^2)/(d^2*e^2*(c*d-b*e)^2*(d+e*x)^2)+_
     1/192*(A*e*(16*c^3*d^3-24*b*c^2*d^2*e+38*b^2*c*d*e^2-15*b^3*e^3)+_
     B*d*(16*c^3*d^3-40*b*c^2*d^2*e+18*b^2*c*d*e^2-9*b^3*e^3))*_
     sqrt(b*x+c*x^2)/(d^3*e^2*(c*d-b*e)^3*(d+e*x))-1/4*(B*d+A*e+_
     2*B*e*x)*sqrt(b*x+c*x^2)/(e^2*(d+e*x)^4)
--E 203
--S 204 of 1125
d0:=D(m0,x)
--E 204
)clear all
--S 205 of 1125
t0:=(A+B*x)*(d+e*x)^2*(b*x+c*x^2)^(3/2)
--E 205
--S 206 of 1125
r0:=1/192*(48*A*c^3*d^2-9*b^3*B*e^2+14*b^2*c*e*(2*B*d+A*e)-24*b*c^2*d*(B*d+_
     2*A*e))*x*(b*x+c*x^2)^(3/2)/c^3+1/840*(98*A*c*e*(2*c*d-b*e)+B*(48*_
     c^2*d^2-146*b*c*d*e+63*b^2*e^2))*(b*x+c*x^2)^(5/2)/c^3+1/7*B*_
     (d+e*x)^2*(b*x+c*x^2)^(5/2)/c-1/84*e*((5*b*B-14*A*c)*d-(4*B*c*d-_
     9*b*B*e+14*A*c*e)*x)*(b*x+c*x^2)^(5/2)/c^2+1/1024*b^4*(48*A*c^3*d^2-_

     9*b^3*B*e^2+14*b^2*c*e*(2*B*d+A*e)-24*b*c^2*d*(B*d+2*A*e))*_
     atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(11/2)-1/1024*b^3*(48*A*c^3*d^2-_
     9*b^3*B*e^2+14*b^2*c*e*(2*B*d+A*e)-24*b*c^2*d*(B*d+2*A*e))*sqrt(b*x+_
     c*x^2)/c^5+1/1536*b^2*(48*A*c^3*d^2-9*b^3*B*e^2+14*b^2*c*e*(2*B*d+_
     A*e)-24*b*c^2*d*(B*d+2*A*e))*x*sqrt(b*x+c*x^2)/c^4+1/384*b*_
     (48*A*c^3*d^2-9*b^3*B*e^2+14*b^2*c*e*(2*B*d+A*e)-24*b*c^2*d*(B*d+_
     2*A*e))*x^2*sqrt(b*x+c*x^2)/c^3
--E 206
--S 207 of 1125
d0:=D(m0,x)
--E 207
)clear all
--S 208 of 1125
t0:=(A+B*x)*(d+e*x)*(b*x+c*x^2)^(3/2)
--E 208
--S 209 of 1125
r0:=1/96*(24*A*c^2*d+7*b^2*B*e-12*b*c*(B*d+A*e))*x*(b*x+c*x^2)^(3/2)/c^2+_
     1/60*(2*B*c*d-7*b*B*e+12*A*c*e)*(b*x+c*x^2)^(5/2)/c^2+1/6*B*(d+e*x)*_
     (b*x+c*x^2)^(5/2)/c+1/512*b^4*(24*A*c^2*d+7*b^2*B*e-12*b*c*(B*d+_
     A*e))*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(9/2)-1/512*b^3*_
     (24*A*c^2*d+7*b^2*B*e-12*b*c*(B*d+A*e))*sqrt(b*x+c*x^2)/c^4+_
     1/768*b^2*(24*A*c^2*d+7*b^2*B*e-12*b*c*(B*d+A*e))*x*sqrt(b*x+_
     c*x^2)/c^3+1/192*b*(24*A*c^2*d+7*b^2*B*e-12*b*c*(B*d+A*e))*x^2*_
     sqrt(b*x+c*x^2)/c^2
--E 209
--S 210 of 1125
d0:=D(m0,x)
--E 210
)clear all
--S 211 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(3/2)
--E 211
--S 212 of 1125
r0:=-1/8*(b*B-2*A*c)*x*(b*x+c*x^2)^(3/2)/c+1/5*B*(b*x+c*x^2)^(5/2)/c-_
     3/128*b^4*(b*B-2*A*c)*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(7/2)+_
     3/128*b^3*(b*B-2*A*c)*sqrt(b*x+c*x^2)/c^3-1/64*b^2*(b*B-2*A*c)*x*_
     sqrt(b*x+c*x^2)/c^2-1/16*b*(b*B-2*A*c)*x^2*sqrt(b*x+c*x^2)/c
--E 212
--S 213 of 1125
d0:=D(m0,x)
--E 213

--S 214 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(3/2)/(d+e*x)
--E 214
--S 215 of 1125
r0:=-1/24*(8*B*c*d-3*b*B*e-8*A*c*e-6*B*c*e*x)*(b*x+c*x^2)^(3/2)/(c*e^2)-_
     1/64*(8*A*c*e*(16*c^3*d^3-24*b*c^2*d^2*e+6*b^2*c*d*e^2+b^3*e^3)-_
     B*(128*c^4*d^4-192*b*c^3*d^3*e+48*b^2*c^2*d^2*e^2+8*b^3*c*d*e^3+_
     3*b^4*e^4))*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/(c^(5/2)*e^5)-d^(3/2)*_
     (B*d-A*e)*(c*d-b*e)^(3/2)*atanh(1/2*(b*d+(2*c*d-b*e)*x)/(sqrt(d)*_
     sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/e^5+1/64*(8*A*c*e*(8*c^2*d^2-_
     10*b*c*d*e+b^2*e^2)-B*(64*c^3*d^3-80*b*c^2*d^2*e+8*b^2*c*d*e^2+_
     3*b^3*e^3)-2*c*e*(8*A*c*e*(2*c*d-b*e)-B*(16*c^2*d^2-8*b*c*d*e-_
     3*b^2*e^2))*x)*sqrt(b*x+c*x^2)/(c^2*e^4)
--E 215
--S 216 of 1125
d0:=D(m0,x)
--E 216
)clear all
--S 217 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(3/2)/(d+e*x)^2
--E 217
--S 218 of 1125
r0:=1/3*(4*B*d-3*A*e+B*e*x)*(b*x+c*x^2)^(3/2)/(e^2*(d+e*x))+1/8*(4*b*c*e*_
     (4*B*d-3*A*e)*(2*c*d-b*e)-(8*B*c*d-b*B*e-6*A*c*e)*(8*c^2*d^2-_
     4*b*c*d*e-b^2*e^2))*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/(c^(3/2)*e^5)+_
     1/2*(B*d*(8*c*d-5*b*e)-3*A*e*(2*c*d-b*e))*atanh(1/2*(b*d+(2*c*d-_
     b*e)*x)/(sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))*sqrt(d)*sqrt(c*d-_
     b*e)/e^5-1/8*(6*A*c*e*(4*c*d-3*b*e)-B*(32*c^2*d^2-28*b*c*d*e+_
     b^2*e^2)+2*c*e*(8*B*c*d-b*B*e-6*A*c*e)*x)*sqrt(b*x+c*x^2)/(c*e^4)
--E 218
--S 219 of 1125
d0:=D(m0,x)
--E 219
)clear all
--S 220 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(3/2)/(d+e*x)^3
--E 220
--S 221 of 1125

r0:=1/2*(2*B*d-A*e+B*e*x)*(b*x+c*x^2)^(3/2)/(e^2*(d+e*x)^2)-3/4*(4*A*c*e*_
     (2*c*d-b*e)-B*(16*c^2*d^2-12*b*c*d*e+b^2*e^2))*atanh(x*sqrt(c)/_
     sqrt(b*x+c*x^2))/(e^5*sqrt(c))+3/8*(A*e*(8*c^2*d^2-8*b*c*d*e+_
     b^2*e^2)-B*d*(16*c^2*d^2-20*b*c*d*e+5*b^2*e^2))*atanh(1/2*(b*d+_
     (2*c*d-b*e)*x)/(sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/(e^5*_
     sqrt(d)*sqrt(c*d-b*e))-3/4*(4*B*d*(2*c*d-b*e)-A*e*(4*c*d-b*e)+_
     e*(4*B*c*d-b*B*e-2*A*c*e)*x)*sqrt(b*x+c*x^2)/(e^4*(d+e*x))
--E 221
--S 222 of 1125
d0:=D(m0,x)
--E 222
)clear all
--S 223 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(3/2)/(d+e*x)^4
--E 223
--S 224 of 1125
r0:=-1/4*(B*d*(8*c*d-7*b*e)-A*e*(2*c*d-b*e))*(b*x+c*x^2)^(3/2)/(d*e^2*_
     (c*d-b*e)*(d+e*x)^2)+1/3*(4*B*d-A*e+3*B*e*x)*(b*x+c*x^2)^(3/2)/_
     (e^2*(d+e*x)^3)+1/16*(B*d*(64*c^3*d^3-120*b*c^2*d^2*e+60*b^2*c*d*e^2-_
     5*b^3*e^3)-A*e*(16*c^3*d^3-24*b*c^2*d^2*e+6*b^2*c*d*e^2+b^3*e^3))*_
     atanh(1/2*(b*d+(2*c*d-b*e)*x)/(sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+_
     c*x^2)))/(d^(3/2)*e^5*(c*d-b*e)^(3/2))-(8*B*c*d-3*b*B*e-2*A*c*e)*_
     atanh(x*sqrt(c)/sqrt(b*x+c*x^2))*sqrt(c)/e^5-1/8*(A*e*(8*c^2*d^2-_
     6*b*c*d*e-b^2*e^2)-B*d*(32*c^2*d^2-36*b*c*d*e+5*b^2*e^2)-_
     2*c*e*(B*d*(8*c*d-7*b*e)-A*e*(2*c*d-b*e))*x)*sqrt(b*x+c*x^2)/_
     (d*e^4*(c*d-b*e)*(d+e*x))
--E 224
--S 225 of 1125
d0:=D(m0,x)
--E 225
)clear all
--S 226 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(3/2)/(d+e*x)^5
--E 226
--S 227 of 1125
r0:=1/32*(3*A*b^2*e^3+B*d*(16*c^2*d^2-24*b*c*d*e+5*b^2*e^2))*_
     (b*x+c*x^2)^(3/2)/(d^2*e^2*(c*d-b*e)^2*(d+e*x)^2)+1/24*(3*A*b*e^2-_
     B*d*(8*c*d-5*b*e)-6*c*e*(B*d-A*e)*x)*(b*x+c*x^2)^(3/2)/(d*e^2*_
     (c*d-b*e)*(d+e*x)^3)+1/4*(B*d-A*e)*(b*x+c*x^2)^(5/2)/(d*(c*d-b*e)*_
     (d+e*x)^4)+2*B*c^(3/2)*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/e^5+_
     1/128*(3*A*b^4*e^5-B*d*(128*c^4*d^4-320*b*c^3*d^3*e+240*b^2*c^2*_
     d^2*e^2-40*b^3*c*d*e^3-5*b^4*e^4))*atanh(1/2*(b*d+(2*c*d-b*e)*x)/_

(sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/(d^(5/2)*e^5*_
(c*d-b*e)^(5/2))-1/64*(3*A*b^3*e^4+B*d*(64*c^3*d^3-112*b*c^2*_
d^2*e+40*b^2*c*d*e^2+5*b^3*e^3)+2*c*e*(3*A*b^2*e^3+B*d*(16*c^2*_
d^2-24*b*c*d*e+5*b^2*e^2))*x)*sqrt(b*x+c*x^2)/(d^2*e^4*_
(c*d-b*e)^2*(d+e*x))
--E 227
--S 228 of 1125
d0:=D(m0,x)
--E 228
)clear all
--S 229 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(3/2)/(d+e*x)^6
--E 229
--S 230 of 1125
r0:=-1/5*(4*B*d+A*e+5*B*e*x)*(b*x+c*x^2)^(3/2)/(e^2*(d+e*x)^5)-_
3/256*b^4*(b*B*d-2*A*c*d+A*b*e)*atanh(1/2*(b*d+(2*c*d-b*e)*x)/_
(sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/(d^(7/2)*(c*d-b*e)^(7/2))+_
1/80*(A*e*(4*c^2*d^2-4*b*c*d*e-b^2*e^2)+B*d*(16*c^2*d^2-26*b*c*d*e+_
11*b^2*e^2))*sqrt(b*x+c*x^2)/(d*e^4*(c*d-b*e)*(d+e*x)^3)+1/320*_
(A*e*(16*c^3*d^3-24*b*c^2*d^2*e-2*b^2*c*d*e^2+5*b^3*e^3)+B*d*_
(64*c^3*d^3-136*b*c^2*d^2*e+72*b^2*c*d*e^2+5*b^3*e^3))*_
sqrt(b*x+c*x^2)/(d^2*e^4*(c*d-b*e)^2*(d+e*x)^2)+1/640*(B*d*_
(128*c^4*d^4-336*b*c^3*d^3*e+248*b^2*c^2*d^2*e^2-10*b^3*c*d*e^3-_
15*b^4*e^4)+A*e*(32*c^4*d^4-64*b*c^3*d^3*e+12*b^2*c^2*d^2*e^2+_
20*b^3*c*d*e^3-15*b^4*e^4))*sqrt(b*x+c*x^2)/(d^3*e^4*(c*d-b*e)^3*_
(d+e*x))-3/40*(B*d*(8*c*d-b*e)+A*e*(2*c*d+b*e)+2*e*(8*B*c*d-_
5*b*B*e+2*A*c*e)*x)*sqrt(b*x+c*x^2)/(e^4*(d+e*x)^4)
--E 230
--S 231 of 1125
d0:=D(m0,x)
--E 231
)clear all
--S 232 of 1125
t0:=(A+B*x)*(d+e*x)^2*(b*x+c*x^2)^(5/2)
--E 232
--S 233 of 1125
r0:=1/768*b*(64*A*c^3*d^2-11*b^3*B*e^2+18*b^2*c*e*(2*B*d+A*e)-32*b*c^2*d*_
(B*d+2*A*e))*x^2*(b*x+c*x^2)^(3/2)/c^3+1/384*(64*A*c^3*d^2-11*b^3*_
B*e^2+18*b^2*c*e*(2*B*d+A*e)-32*b*c^2*d*(B*d+2*A*e))*x*(b*x+_
c*x^2)^(5/2)/c^3+1/2016*(162*A*c*e*(2*c*d-b*e)+B*(64*c^2*d^2-_
226*b*c*d*e+99*b^2*e^2))*(b*x+c*x^2)^(7/2)/c^3+1/9*B*(d+e*x)^2*_
(b*x+c*x^2)^(7/2)/c-1/144*e*((7*b*B-18*A*c)*d-(4*B*c*d-11*b*B*e+_

18*A*c*e)*x)*(b*x+c*x^2)^(7/2)/c^2-5/32768*b^6*(64*A*c^3*d^2-_
11*b^3*B*e^2+18*b^2*c*e*(2*B*d+A*e)-32*b*c^2*d*(B*d+2*A*e))*_
atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(13/2)+5/32768*b^5*(64*A*c^3*_
d^2-11*b^3*B*e^2+18*b^2*c*e*(2*B*d+A*e)-32*b*c^2*d*(B*d+2*A*e))*_
sqrt(b*x+c*x^2)/c^6-5/49152*b^4*(64*A*c^3*d^2-11*b^3*B*e^2+18*b^2*_
c*e*(2*B*d+A*e)-32*b*c^2*d*(B*d+2*A*e))*x*sqrt(b*x+c*x^2)/c^5+_
1/12288*b^3*(64*A*c^3*d^2-11*b^3*B*e^2+18*b^2*c*e*(2*B*d+A*e)-_
32*b*c^2*d*(B*d+2*A*e))*x^2*sqrt(b*x+c*x^2)/c^4+1/2048*b^2*_
(64*A*c^3*d^2-11*b^3*B*e^2+18*b^2*c*e*(2*B*d+A*e)-32*b*c^2*d*_
(B*d+2*A*e))*x^3*sqrt(b*x+c*x^2)/c^3
--E 233
--S 234 of 1125
d0:=D(m0,x)
--E 234
)clear all
--S 235 of 1125
t0:=(A+B*x)*(d+e*x)*(b*x+c*x^2)^(5/2)
--E 235
--S 236 of 1125
r0:=1/384*b*(32*A*c^2*d+9*b^2*B*e-16*b*c*(B*d+A*e))*x^2*_
(b*x+c*x^2)^(3/2)/c^2+1/192*(32*A*c^2*d+9*b^2*B*e-16*b*c*(B*d+A*e))*_
x*(b*x+c*x^2)^(5/2)/c^2+1/112*(2*B*c*d-9*b*B*e+16*A*c*e)*_
(b*x+c*x^2)^(7/2)/c^2+1/8*B*(d+e*x)*(b*x+c*x^2)^(7/2)/c-_
5/16384*b^6*(32*A*c^2*d+9*b^2*B*e-16*b*c*(B*d+A*e))*atanh(x*_
sqrt(c)/sqrt(b*x+c*x^2))/c^(11/2)+5/16384*b^5*(32*A*c^2*d+9*b^2*B*e-_
16*b*c*(B*d+A*e))*sqrt(b*x+c*x^2)/c^5-5/24576*b^4*(32*A*c^2*d+_
9*b^2*B*e-16*b*c*(B*d+A*e))*x*sqrt(b*x+c*x^2)/c^4+1/6144*b^3*_
(32*A*c^2*d+9*b^2*B*e-16*b*c*(B*d+A*e))*x^2*sqrt(b*x+c*x^2)/c^3+_
1/1024*b^2*(32*A*c^2*d+9*b^2*B*e-16*b*c*(B*d+A*e))*x^3*_
sqrt(b*x+c*x^2)/c^2
--E 236
--S 237 of 1125
d0:=D(m0,x)
--E 237
)clear all
--S 238 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(5/2)
--E 238
--S 239 of 1125
r0:=-1/24*b*(b*B-2*A*c)*x^2*(b*x+c*x^2)^(3/2)/c-1/12*(b*B-2*A*c)*x*_
(b*x+c*x^2)^(5/2)/c+1/7*B*(b*x+c*x^2)^(7/2)/c+5/1024*b^6*(b*B-_
2*A*c)*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(9/2)-5/1024*b^5*(b*B-_

2*A*c)*sqrt(b*x+c*x^2)/c^4+5/1536*b^4*(b*B-2*A*c)*x*sqrt(b*x+_
c*x^2)/c^3-1/384*b^3*(b*B-2*A*c)*x^2*sqrt(b*x+c*x^2)/c^2-1/64*b^2*_
(b*B-2*A*c)*x^3*sqrt(b*x+c*x^2)/c
--E 239
--S 240 of 1125
d0:=D(m0,x)
--E 240
)clear all
--S 241 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(5/2)/(d+e*x)
--E 241
--S 242 of 1125
r0:=1/192*(4*A*c*e*(16*c^2*d^2-22*b*c*d*e+3*b^2*e^2)-B*(64*c^3*d^3-_
88*b*c^2*d^2*e+12*b^2*c*d*e^2+5*b^3*e^3)-2*c*e*(12*A*c*e*(2*c*d-_
b*e)-B*(24*c^2*d^2-12*b*c*d*e-5*b^2*e^2))*x)*(b*x+c*x^2)^(3/2)/_
(c^2*e^4)-1/60*(12*B*c*d-5*b*B*e-12*A*c*e-10*B*c*e*x)*(b*x+_
c*x^2)^(5/2)/(c*e^2)-1/512*(4*A*c*e*(256*c^5*d^5-640*b*c^4*d^4*e+_
480*b^2*c^3*d^3*e^2-80*b^3*c^2*d^2*e^3-10*b^4*c*d*e^4-3*b^5*e^5)-_
B*(1024*c^6*d^6-2560*b*c^5*d^5*e+1920*b^2*c^4*d^4*e^2-320*b^3*_
c^3*d^3*e^3-40*b^4*c^2*d^2*e^4-12*b^5*c*d*e^5-5*b^6*e^6))*_
atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/(c^(7/2)*e^7)-d^(5/2)*(B*d-A*e)*_
(c*d-b*e)^(5/2)*atanh(1/2*(b*d+(2*c*d-b*e)*x)/(sqrt(d)*_
sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/e^7+1/1536*(3*(4*A*c*e*(128*c^4*d^4-_
288*b*c^3*d^3*e+176*b^2*c^2*d^2*e^2-10*b^3*c*d*e^3-3*b^4*e^4)-_
B*(512*c^5*d^5-1152*b*c^4*d^4*e+704*b^2*c^3*d^3*e^2-40*b^3*c^2*_
d^2*e^3-12*b^4*c*d*e^4-5*b^5*e^5))-2*c*e*(8*b*c*d*e*(2*c*d-b*e)*_
(12*B*c*d-5*b*B*e-12*A*c*e)+(16*c^2*d^2-8*b*c*d*e-3*b^2*e^2)*_
(12*A*c*e*(2*c*d-b*e)-B*(24*c^2*d^2-12*b*c*d*e-5*b^2*e^2)))*x)*_
sqrt(b*x+c*x^2)/(c^3*e^6)
--E 242
--S 243 of 1125
d0:=D(m0,x)
--E 243
)clear all
--S 244 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(5/2)/(d+e*x)^2
--E 244
--S 245 of 1125
r0:=-1/48*(10*A*c*e*(8*c*d-7*b*e)-B*(96*c^2*d^2-92*b*c*d*e+3*b^2*e^2)+_
6*c*e*(12*B*c*d-b*B*e-10*A*c*e)*x)*(b*x+c*x^2)^(3/2)/(c*e^4)+_
1/5*(6*B*d-5*A*e+B*e*x)*(b*x+c*x^2)^(5/2)/(e^2*(d+e*x))+_
1/128*(10*A*c*e*(128*c^4*d^4-256*b*c^3*d^3*e+144*b^2*c^2*d^2*e^2-_

16*b^3*c*d*e^3-b^4*e^4)-B*(1536*c^5*d^5-3200*b*c^4*d^4*e+_
1920*b^2*c^3*d^3*e^2-240*b^3*c^2*d^2*e^3-20*b^4*c*d*e^4-3*b^5*e^5))*_
atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/(c^(5/2)*e^7)+1/2*d^(3/2)*_
(c*d-b*e)^(3/2)*(B*d*(12*c*d-7*b*e)-5*A*e*(2*c*d-b*e))*atanh(1/2*_
(b*d+(2*c*d-b*e)*x)/(sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/e^7-_
1/128*(10*A*c*e*(64*c^3*d^3-112*b*c^2*d^2*e+48*b^2*c*d*e^2-b^3*e^3)-_
B*(768*c^4*d^4-1408*b*c^3*d^3*e+656*b^2*c^2*d^2*e^2-20*b^3*c*d*e^3-_
3*b^4*e^4)-2*c*e*(8*b*c*e*(6*B*d-5*A*e)*(2*c*d-b*e)-(12*B*c*d-b*B*e-_
10*A*c*e)*(16*c^2*d^2-8*b*c*d*e-3*b^2*e^2))*x)*sqrt(b*x+c*x^2)/(c^2*e^6)
--E 245
--S 246 of 1125
d0:=D(m0,x)
--E 246
)clear all
--S 247 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(5/2)/(d+e*x)^3
--E 247
--S 248 of 1125
r0:=-5/24*(B*d*(24*c*d-13*b*e)-2*A*e*(8*c*d-3*b*e)+e*(6*B*c*d-b*B*e-_
4*A*c*e)*x)*(b*x+c*x^2)^(3/2)/(e^4*(d+e*x))+1/4*(3*B*d-2*A*e+B*e*x)*_
(b*x+c*x^2)^(5/2)/(e^2*(d+e*x)^2)-5/64*(8*A*c*e*(32*c^3*d^3-48*b*c^2*_
d^2*e+18*b^2*c*d*e^2-b^3*e^3)-B*(384*c^4*d^4-640*b*c^3*d^3*e+288*b^2*_
c^2*d^2*e^2-24*b^3*c*d*e^3-b^4*e^4))*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/_
(c^(3/2)*e^7)+5/8*(A*e*(16*c^2*d^2-16*b*c*d*e+3*b^2*e^2)-B*d*(24*c^2*_
d^2-28*b*c*d*e+7*b^2*e^2))*atanh(1/2*(b*d+(2*c*d-b*e)*x)/(sqrt(d)*_
sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))*sqrt(d)*sqrt(c*d-b*e)/e^7+5/64*_
(8*A*c*e*(16*c^2*d^2-20*b*c*d*e+5*b^2*e^2)-B*(192*c^3*d^3-272*b*c^2*_
d^2*e+88*b^2*c*d*e^2-b^3*e^3)-2*c*e*(16*A*c*e*(2*c*d-b*e)-B*(48*c^2*_
d^2-32*b*c*d*e+b^2*e^2))*x)*sqrt(b*x+c*x^2)/(c*e^6)
--E 248
--S 249 of 1125
d0:=D(m0,x)
--E 249
)clear all
--S 250 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(5/2)/(d+e*x)^4
--E 250
--S 251 of 1125
r0:=-5/12*(4*B*d*(2*c*d-b*e)-A*e*(4*c*d-b*e)+e*(4*B*c*d-b*B*e-2*A*c*e)*x)*_
(b*x+c*x^2)^(3/2)/(e^4*(d+e*x)^2)+1/3*(2*B*d-A*e+B*e*x)*_
(b*x+c*x^2)^(5/2)/(e^2*(d+e*x)^3)+5/8*(2*A*c*e*(16*c^2*d^2-_
16*b*c*d*e+3*b^2*e^2)-B*(64*c^3*d^3-80*b*c^2*d^2*e+24*b^2*c*d*e^2-_

b^3*e^3))*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/(e^7*sqrt(c))+5/16*(B*d*_
(64*c^3*d^3-112*b*c^2*d^2*e+56*b^2*c*d*e^2-7*b^3*e^3)-A*e*(32*c^3*d^3-_
48*b*c^2*d^2*e+18*b^2*c*d*e^2-b^3*e^3))*atanh(1/2*(b*d+(2*c*d-b*e)*x)/_
(sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/(e^7*sqrt(d)*sqrt(c*d-b*e))-_
5/8*(A*e*(16*c^2*d^2-12*b*c*d*e+b^2*e^2)-2*B*d*(16*c^2*d^2-_
16*b*c*d*e+3*b^2*e^2)+e*(4*A*c*e*(2*c*d-b*e)-B*(16*c^2*d^2-12*b*c*d*e+_
b^2*e^2))*x)*sqrt(b*x+c*x^2)/(e^6*(d+e*x))
--E 251
--S 252 of 1125
d0:=D(m0,x)
--E 252
)clear all
--S 253 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(5/2)/(d+e*x)^5
--E 253
--S 254 of 1125
r0:=-5/32*(A*e*(16*c^2*d^2-16*b*c*d*e+b^2*e^2)-B*d*(48*c^2*d^2-64*b*c*d*e+_
17*b^2*e^2))*(b*x+c*x^2)^(3/2)/(d*e^4*(c*d-b*e)*(d+e*x)^2)-5/24*_
(B*d*(24*c*d-11*b*e)-A*e*(8*c*d-b*e)+6*e*(3*B*c*d-b*B*e-A*c*e)*x)*_
(b*x+c*x^2)^(3/2)/(e^4*(d+e*x)^3)+1/4*(3*B*d-A*e+2*B*e*x)*(b*x+_
c*x^2)^(5/2)/(e^2*(d+e*x)^4)+5/128*(A*e*(128*c^4*d^4-256*b*c^3*d^3*e+_
144*b^2*c^2*d^2*e^2-16*b^3*c*d*e^3-b^4*e^4)-B*d*(384*c^4*d^4-_
896*b*c^3*d^3*e+672*b^2*c^2*d^2*e^2-168*b^3*c*d*e^3+7*b^4*e^4))*_
atanh(1/2*(b*d+(2*c*d-b*e)*x)/(sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+_
c*x^2)))/(d^(3/2)*e^7*(c*d-b*e)^(3/2))-5/4*(4*A*c*e*(2*c*d-b*e)-_
B*(24*c^2*d^2-20*b*c*d*e+3*b^2*e^2))*atanh(x*sqrt(c)/sqrt(b*x+_
c*x^2))*sqrt(c)/e^7-5/64*(B*d*(192*c^3*d^3-304*b*c^2*d^2*e+120*_
b^2*c*d*e^2-7*b^3*e^3)-A*e*(64*c^3*d^3-80*b*c^2*d^2*e+16*b^2*c*d*_
e^2+b^3*e^3)-2*c*e*(A*e*(16*c^2*d^2-16*b*c*d*e+b^2*e^2)-B*d*(48*c^2*_
d^2-64*b*c*d*e+17*b^2*e^2))*x)*sqrt(b*x+c*x^2)/(d*e^6*(c*d-b*e)*(d+e*x))
--E 254
--S 255 of 1125
d0:=D(m0,x)
--E 255
)clear all
--S 256 of 1125
t0:=(A+B*x)*(d+e*x)^3/sqrt(b*x+c*x^2)
--E 256
--S 257 of 1125
r0:=1/64*(128*A*c^4*d^3+35*b^4*B*e^3+144*b^2*c^2*d*e*(B*d+A*e)-40*b^3*_
c*e^2*(3*B*d+A*e)-64*b*c^3*d^2*(B*d+3*A*e))*atanh(x*sqrt(c)/_
sqrt(b*x+c*x^2))/c^(9/2)+1/192*(8*A*c*e*(52*c^2*d^2-52*b*c*d*e+_

     15*b^2*e^2)+B*(96*c^3*d^3-352*b*c^2*d^2*e+346*b^2*c*d*e^2-105*_
     b^3*e^3))*sqrt(b*x+c*x^2)/c^4+1/24*(6*B*c*d-7*b*B*e+8*A*c*e)*_
     (d+e*x)^2*sqrt(b*x+c*x^2)/c^2+1/4*B*(d+e*x)^3*sqrt(b*x+c*x^2)/c-_
     1/96*e*(d*(12*b*B*c*d-48*A*c^2*d-7*b^2*B*e+8*A*b*c*e)-(40*A*c*e*_
     (2*c*d-b*e)+B*(24*c^2*d^2-64*b*c*d*e+35*b^2*e^2))*x)*sqrt(b*x+c*x^2)/c^3
--E 257
--S 258 of 1125
d0:=D(m0,x)
--E 258
)clear all
--S 259 of 1125
t0:=(A+B*x)*(d+e*x)^2/sqrt(b*x+c*x^2)
--E 259
--S 260 of 1125
r0:=1/8*(16*A*c^3*d^2-5*b^3*B*e^2+6*b^2*c*e*(2*B*d+A*e)-8*b*c^2*d*_
     (B*d+2*A*e))*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(7/2)+1/24*(18*A*c*_
     e*(2*c*d-b*e)+B*(16*c^2*d^2-34*b*c*d*e+15*b^2*e^2))*sqrt(b*x+_
     c*x^2)/c^3+1/3*B*(d+e*x)^2*sqrt(b*x+c*x^2)/c-1/12*e*((b*B-6*A*c)*_
     d-(4*B*c*d-5*b*B*e+6*A*c*e)*x)*sqrt(b*x+c*x^2)/c^2
--E 260
--S 261 of 1125
d0:=D(m0,x)
--E 261
)clear all
--S 262 of 1125
t0:=(A+B*x)*(d+e*x)/sqrt(b*x+c*x^2)
--E 262
--S 263 of 1125
r0:=1/4*(8*A*c^2*d+3*b^2*B*e-4*b*c*(B*d+A*e))*atanh(x*sqrt(c)/sqrt(b*x+_
     c*x^2))/c^(5/2)+1/4*(2*B*c*d-3*b*B*e+4*A*c*e)*sqrt(b*x+c*x^2)/c^2+_
     1/2*B*(d+e*x)*sqrt(b*x+c*x^2)/c
--E 263
--S 264 of 1125
d0:=D(m0,x)
--E 264
)clear all
--S 265 of 1125
t0:=(A+B*x)/sqrt(b*x+c*x^2)
--E 265

--S 266 of 1125
r0:=-(b*B-2*A*c)*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(3/2)+B*sqrt(b*x+c*x^2)/c
--E 266
--S 267 of 1125
d0:=D(m0,x)
--E 267
)clear all
--S 268 of 1125
t0:=(A+B*x)/((d+e*x)*sqrt(b*x+c*x^2))
--E 268
--S 269 of 1125
r0:=2*B*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/(e*sqrt(c))-(B*d-A*e)*atanh(1/2*_
     (b*d+(2*c*d-b*e)*x)/(sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/_
     (e*sqrt(d)*sqrt(c*d-b*e))
--E 269
--S 270 of 1125
d0:=D(m0,x)
--E 270
)clear all
--S 271 of 1125
t0:=(A+B*x)/((d+e*x)^2*sqrt(b*x+c*x^2))
--E 271
--S 272 of 1125
r0:=-1/2*(b*B*d-2*A*c*d+A*b*e)*atanh(1/2*(b*d+(2*c*d-b*e)*x)/(sqrt(d)*_
     sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/(d^(3/2)*(c*d-b*e)^(3/2))+(B*d-A*e)*_
     sqrt(b*x+c*x^2)/(d*(c*d-b*e)*(d+e*x))
--E 272
--S 273 of 1125
d0:=D(m0,x)
--E 273
)clear all
--S 274 of 1125
t0:=(A+B*x)/((d+e*x)^3*sqrt(b*x+c*x^2))
--E 274
--S 275 of 1125
r0:=1/8*(8*A*c^2*d^2-4*b*c*d*(B*d+2*A*e)+b^2*e*(B*d+3*A*e))*atanh(1/2*(b*d+_
     (2*c*d-b*e)*x)/(sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/(d^(5/2)*_

     (c*d-b*e)^(5/2))+1/2*(B*d-A*e)*sqrt(b*x+c*x^2)/(d*(c*d-b*e)*_
     (d+e*x)^2)-1/4*(3*A*e*(2*c*d-b*e)-B*d*(2*c*d+b*e))*sqrt(b*x+c*x^2)/_
     (d^2*(c*d-b*e)^2*(d+e*x))
--E 275
--S 276 of 1125
d0:=D(m0,x)
--E 276
)clear all
--S 277 of 1125
t0:=(A+B*x)/((d+e*x)^4*sqrt(b*x+c*x^2))
--E 277
--S 278 of 1125
r0:=1/16*(16*A*c^3*d^3-8*b*c^2*d^2*(B*d+3*A*e)-b^3*e^2*(B*d+5*A*e)+_
     2*b^2*c*d*e*(2*B*d+9*A*e))*atanh(1/2*(b*d+(2*c*d-b*e)*x)/(sqrt(d)*_
     sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/(d^(7/2)*(c*d-b*e)^(7/2))+_
     1/3*(B*d-A*e)*sqrt(b*x+c*x^2)/(d*(c*d-b*e)*(d+e*x)^3)-_
     1/12*(5*A*e*(2*c*d-b*e)-B*d*(4*c*d+b*e))*sqrt(b*x+c*x^2)/(d^2*_
     (c*d-b*e)^2*(d+e*x)^2)+1/24*(B*d*(8*c^2*d^2+10*b*c*d*e-3*b^2*e^2)-_
     A*e*(44*c^2*d^2-44*b*c*d*e+15*b^2*e^2))*sqrt(b*x+c*x^2)/(d^3*_
     (c*d-b*e)^3*(d+e*x))
--E 278
--S 279 of 1125
d0:=D(m0,x)
--E 279
)clear all
--S 280 of 1125
t0:=(A+B*x)*(d+e*x)^3/(b*x+c*x^2)^(3/2)
--E 280
--S 281 of 1125
r0:=3/4*e*(4*A*c*e*(2*c*d-b*e)+B*(8*c^2*d^2-12*b*c*d*e+5*b^2*e^2))*_
     atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(7/2)-2*(A*b-(b*B-2*A*c)*x)*_
     (d+e*x)^3/(b^2*sqrt(b*x+c*x^2))+1/4*e*(32*A*c^3*d^2-15*b^3*B*e^2-_
     16*b*c^2*d*(B*d+2*A*e)+2*b^2*c*e*(17*B*d+6*A*e))*sqrt(b*x+c*x^2)/_
     (b^2*c^3)-2*(b*B-2*A*c)*e*(d+e*x)^2*sqrt(b*x+c*x^2)/(b^2*c)+_
     1/2*e^2*(b*(b*B+4*A*c)*d+(8*A*c^2*d+5*b^2*B*e-4*b*c*(B*d+A*e))*x)*_
     sqrt(b*x+c*x^2)/(b^2*c^2)
--E 281
--S 282 of 1125
d0:=D(m0,x)
--E 282

--S 283 of 1125
t0:=(A+B*x)*(d+e*x)^2/(b*x+c*x^2)^(3/2)
--E 283
--S 284 of 1125
r0:=e*(4*B*c*d-3*b*B*e+2*A*c*e)*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(5/2)-_
     2*(A*b-(b*B-2*A*c)*x)*(d+e*x)^2/(b^2*sqrt(b*x+c*x^2))+e*(8*A*c^2*d+_
     3*b^2*B*e-4*b*c*(B*d+A*e))*sqrt(b*x+c*x^2)/(b^2*c^2)+2*e^2*(A*b-_
     (b*B-2*A*c)*x)*sqrt(b*x+c*x^2)/(b^2*c)
--E 284
--S 285 of 1125
d0:=D(m0,x)
--E 285
)clear all
--S 286 of 1125
t0:=(A+B*x)*(d+e*x)/(b*x+c*x^2)^(3/2)
--E 286
--S 287 of 1125
r0:=2*B*e*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(3/2)-2*(A*b-(b*B-2*A*c)*x)*_
     (d+e*x)/(b^2*sqrt(b*x+c*x^2))-2*(b*B-2*A*c)*e*sqrt(b*x+c*x^2)/(b^2*c)
--E 287
--S 288 of 1125
d0:=D(m0,x)
--E 288
)clear all
--S 289 of 1125
t0:=(A+B*x)/(b*x+c*x^2)^(3/2)
--E 289
--S 290 of 1125
r0:=-2*(A*b-(b*B-2*A*c)*x)/(b^2*sqrt(b*x+c*x^2))
--E 290
--S 291 of 1125
d0:=D(m0,x)
--E 291
)clear all
--S 292 of 1125
t0:=(A+B*x)/((d+e*x)*(b*x+c*x^2)^(3/2))

--E 292
--S 293 of 1125
r0:=-e*(B*d-A*e)*atanh(1/2*(b*d+(2*c*d-b*e)*x)/(sqrt(d)*sqrt(c*d-b*e)*_
     sqrt(b*x+c*x^2)))/(d^(3/2)*(c*d-b*e)^(3/2))-2*(A*b*(c*d-b*e)+_
     c*(2*A*c*d-b*(B*d+A*e))*x)/(b^2*d*(c*d-b*e)*sqrt(b*x+c*x^2))
--E 293
--S 294 of 1125
d0:=D(m0,x)
--E 294
)clear all
--S 295 of 1125
t0:=(A+B*x)/((d+e*x)^2*(b*x+c*x^2)^(3/2))
--E 295
--S 296 of 1125
r0:=1/2*e*(3*A*e*(2*c*d-b*e)-B*d*(4*c*d-b*e))*atanh(1/2*(b*d+(2*c*d-_
     b*e)*x)/(sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/(d^(5/2)*(c*d-_
     b*e)^(5/2))-2*(A*b*(c*d-b*e)+c*(2*A*c*d-b*(B*d+A*e))*x)/(b^2*d*_
     (c*d-b*e)*(d+e*x)*sqrt(b*x+c*x^2))-e*(4*A*c^2*d^2-b^2*e*(B*d-_
     3*A*e)-2*b*c*d*(B*d+2*A*e))*sqrt(b*x+c*x^2)/(b^2*d^2*(c*d-b*e)^2*(d+e*x))
--E 296
--S 297 of 1125
d0:=D(m0,x)
--E 297
)clear all
--S 298 of 1125
t0:=(A+B*x)/((d+e*x)^3*(b*x+c*x^2)^(3/2))
--E 298
--S 299 of 1125
r0:=-3/8*e*(B*d*(8*c^2*d^2-4*b*c*d*e+b^2*e^2)-A*e*(16*c^2*d^2-16*b*c*d*e+_
     5*b^2*e^2))*atanh(1/2*(b*d+(2*c*d-b*e)*x)/(sqrt(d)*sqrt(c*d-b*e)*_
     sqrt(b*x+c*x^2)))/(d^(7/2)*(c*d-b*e)^(7/2))-2*(A*b*(c*d-b*e)+_
     c*(2*A*c*d-b*(B*d+A*e))*x)/(b^2*d*(c*d-b*e)*(d+e*x)^2*sqrt(b*x+_
     c*x^2))-1/2*e*(8*A*c^2*d^2-b^2*e*(B*d-5*A*e)-4*b*c*d*(B*d+2*A*e))*_
     sqrt(b*x+c*x^2)/(b^2*d^2*(c*d-b*e)^2*(d+e*x)^2)-1/4*e*(16*A*c^3*d^3-_
     2*b^2*c*d*e*(5*B*d-19*A*e)+3*b^3*e^2*(B*d-5*A*e)-8*b*c^2*d^2*_
     (B*d+3*A*e))*sqrt(b*x+c*x^2)/(b^2*d^3*(c*d-b*e)^3*(d+e*x))
--E 299
--S 300 of 1125
d0:=D(m0,x)
--E 300

--S 301 of 1125
t0:=(A+B*x)*(d+e*x)^4/(b*x+c*x^2)^(5/2)
--E 301
--S 302 of 1125
r0:=-2/3*(A*b-(b*B-2*A*c)*x)*(d+e*x)^4/(b^2*(b*x+c*x^2)^(3/2))+e^3*(8*B*c*d-_
     5*b*B*e+2*A*c*e)*atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(7/2)-8/3*_
     (d+e*x)^3*(b*(b*B*d-2*A*c*d+2*A*b*e)-(4*A*c^2*d-b^2*B*e-2*b*c*(B*d+_
     A*e))*x)/(b^4*sqrt(b*x+c*x^2))-1/3*e*(64*A*c^4*d^3-15*b^4*B*e^3-_
     32*b*c^3*d^2*(B*d+3*A*e)+2*b^3*c*e^2*(11*B*d+3*A*e)+4*b^2*c^2*d*_
     e*(4*B*d+5*A*e))*sqrt(b*x+c*x^2)/(b^4*c^3)-8/3*e*(4*A*c^2*d-b^2*B*e-_
     2*b*c*(B*d+A*e))*(d+e*x)^2*sqrt(b*x+c*x^2)/(b^4*c)+2/3*e^2*(b*d*_
     (4*b*B*c*d-8*A*c^2*d-b^2*B*e+10*A*b*c*e)-(16*A*c^3*d^2+5*b^3*B*e^2-_
     2*A*b^2*c*e^2-8*b*c^2*d*(B*d+2*A*e))*x)*sqrt(b*x+c*x^2)/(b^4*c^2)
--E 302
--S 303 of 1125
d0:=D(m0,x)
--E 303
)clear all
--S 304 of 1125
t0:=(A+B*x)*(d+e*x)^3/(b*x+c*x^2)^(5/2)
--E 304
--S 305 of 1125
r0:=-2/3*(A*b-(b*B-2*A*c)*x)*(d+e*x)^3/(b^2*(b*x+c*x^2)^(3/2))+2*B*e^3*_
     atanh(x*sqrt(c)/sqrt(b*x+c*x^2))/c^(5/2)-4/3*(d+e*x)^2*(b*(2*b*B*d-_
     4*A*c*d+3*A*b*e)-(8*A*c^2*d-b^2*B*e-4*b*c*(B*d+A*e))*x)/(b^4*_
     sqrt(b*x+c*x^2))-2/3*e*(32*A*c^3*d^2+3*b^3*B*e^2-16*b*c^2*d*(B*d+_
     2*A*e)+2*b^2*c*e*(2*B*d+3*A*e))*sqrt(b*x+c*x^2)/(b^4*c^2)+4/3*e^2*_
     (b*(2*b*B*d-4*A*c*d+3*A*b*e)-(8*A*c^2*d-b^2*B*e-4*b*c*(B*d+A*e))*x)*_
     sqrt(b*x+c*x^2)/(b^4*c)
--E 305
--S 306 of 1125
d0:=D(m0,x)
--E 306
)clear all
--S 307 of 1125
t0:=(A+B*x)*(d+e*x)^2/(b*x+c*x^2)^(5/2)
--E 307
--S 308 of 1125

r0:=-2/3*(A*b-(b*B-2*A*c)*x)*(d+e*x)^2/(b^2*(b*x+c*x^2)^(3/2))-_
     8/3*(b*B*d-2*A*c*d+A*b*e)*(b*d+(2*c*d-b*e)*x)/(b^4*sqrt(b*x+c*x^2))
--E 308
--S 309 of 1125
d0:=D(m0,x)
--E 309
)clear all
--S 310 of 1125
t0:=(A+B*x)*(d+e*x)/(b*x+c*x^2)^(5/2)
--E 310
--S 311 of 1125
r0:=-2/3*(A*b-(b*B-2*A*c)*x)*(d+e*x)/(b^2*(b*x+c*x^2)^(3/2))-_
     4/3*(b*(2*b*B*d-4*A*c*d+A*b*e)-(8*A*c^2*d+b^2*B*e-_
     4*b*c*(B*d+A*e))*x)/(b^4*sqrt(b*x+c*x^2))
--E 311
--S 312 of 1125
d0:=D(m0,x)
--E 312
)clear all
--S 313 of 1125
t0:=(A+B*x)/(b*x+c*x^2)^(5/2)
--E 313
--S 314 of 1125
r0:=-2/3*(A*b-(b*B-2*A*c)*x)/(b^2*(b*x+c*x^2)^(3/2))+8/3*(b*B-2*A*c)/_
     (b^3*sqrt(b*x+c*x^2))-16/3*(b*B-2*A*c)*sqrt(b*x+c*x^2)/(b^4*x)
--E 314
--S 315 of 1125
d0:=D(m0,x)
--E 315
)clear all
--S 316 of 1125
t0:=(A+B*x)/((d+e*x)*(b*x+c*x^2)^(5/2))
--E 316
--S 317 of 1125
r0:=-2/3*(A*b*(c*d-b*e)+c*(2*A*c*d-b*(B*d+A*e))*x)/(b^2*d*(c*d-b*e)*_
     (b*x+c*x^2)^(3/2))-e^3*(B*d-A*e)*atanh(1/2*(b*d+(2*c*d-b*e)*x)/_
     (sqrt(d)*sqrt(c*d-b*e)*sqrt(b*x+c*x^2)))/(d^(5/2)*(c*d-b*e)^(5/2))+_
     2/3*(b*(c*d-b*e)*(8*A*c^2*d^2+3*b^2*e*(B*d-A*e)-4*b*c*d*(B*d+A*e))+_

     c*(16*A*c^3*d^3-3*b^3*e^2*(B*d-A*e)+2*b^2*c*d*e*(7*B*d+A*e)-_
     8*b*c^2*d^2*(B*d+3*A*e))*x)/(b^4*d^2*(c*d-b*e)^2*sqrt(b*x+c*x^2))
--E 317
--S 318 of 1125
d0:=D(m0,x)
--E 318
)clear all
--S 319 of 1125
t0:=(A+B*x)/((d+e*x)^2*(b*x+c*x^2)^(5/2))
--E 319
--S 320 of 1125
r0:=-2/3*(A*b*(c*d-b*e)+c*(2*A*c*d-b*(B*d+A*e))*x)/(b^2*d*(c*d-b*e)*_
     (d+e*x)*(b*x+c*x^2)^(3/2))-1/2*e^3*(B*d*(8*c*d-3*b*e)-5*A*e*_
     (2*c*d-b*e))*atanh(1/2*(b*d+(2*c*d-b*e)*x)/(sqrt(d)*sqrt(c*d-b*e)*_
     sqrt(b*x+c*x^2)))/(d^(7/2)*(c*d-b*e)^(7/2))+2/3*(b*(c*d-b*e)*_
     (8*A*c^2*d^2+b^2*e*(3*B*d-5*A*e)-2*b*c*d*(2*B*d+A*e))+c*(16*A*c^3*d^3-_
     b^3*e^2*(3*B*d-5*A*e)+2*b^2*c*d*e*(8*B*d-A*e)-8*b*c^2*d^2*(B*d+_
     3*A*e))*x)/(b^4*d^2*(c*d-b*e)^2*(d+e*x)*sqrt(b*x+c*x^2))+1/3*e*_
     (32*A*c^4*d^4-2*b^3*c*d*e^2*(9*B*d-10*A*e)+3*b^4*e^3*(3*B*d-5*A*e)+_
     4*b^2*c^2*d^2*e*(10*B*d+3*A*e)-16*b*c^3*d^3*(B*d+4*A*e))*sqrt(b*x+_
     c*x^2)/(b^4*d^3*(c*d-b*e)^3*(d+e*x))
--E 320
--S 321 of 1125
d0:=D(m0,x)
--E 321
)clear all
--S 322 of 1125
t0:=(A+B*x)*(d+e*x)^(7/2)*(b*x+c*x^2)
--E 322
--S 323 of 1125
r0:=-2/9*d*(B*d-A*e)*(c*d-b*e)*(d+e*x)^(9/2)/e^4+2/11*(B*d*(3*c*d-2*b*e)-_
     A*e*(2*c*d-b*e))*(d+e*x)^(11/2)/e^4-2/13*(3*B*c*d-b*B*e-A*c*e)*_
     (d+e*x)^(13/2)/e^4+2/15*B*c*(d+e*x)^(15/2)/e^4
--E 323
--S 324 of 1125
d0:=D(m0,x)
--E 324
)clear all
--S 325 of 1125

t0:=(A+B*x)*(d+e*x)^(5/2)*(b*x+c*x^2)
--E 325
--S 326 of 1125
r0:=-2/7*d*(B*d-A*e)*(c*d-b*e)*(d+e*x)^(7/2)/e^4+2/9*(B*d*(3*c*d-2*b*e)-_
     A*e*(2*c*d-b*e))*(d+e*x)^(9/2)/e^4-2/11*(3*B*c*d-b*B*e-A*c*e)*_
     (d+e*x)^(11/2)/e^4+2/13*B*c*(d+e*x)^(13/2)/e^4
--E 326
--S 327 of 1125
d0:=D(m0,x)
--E 327
)clear all
--S 328 of 1125
t0:=(A+B*x)*(d+e*x)^(3/2)*(b*x+c*x^2)
--E 328
--S 329 of 1125
r0:=-2/5*d*(B*d-A*e)*(c*d-b*e)*(d+e*x)^(5/2)/e^4+2/7*(B*d*(3*c*d-2*b*e)-_
     A*e*(2*c*d-b*e))*(d+e*x)^(7/2)/e^4-2/9*(3*B*c*d-b*B*e-A*c*e)*_
     (d+e*x)^(9/2)/e^4+2/11*B*c*(d+e*x)^(11/2)/e^4
--E 329
--S 330 of 1125
d0:=D(m0,x)
--E 330
)clear all
--S 331 of 1125
t0:=(A+B*x)*(b*x+c*x^2)*sqrt(d+e*x)
--E 331
--S 332 of 1125
r0:=-2/3*d*(B*d-A*e)*(c*d-b*e)*(d+e*x)^(3/2)/e^4+2/5*(B*d*(3*c*d-2*b*e)-_
     A*e*(2*c*d-b*e))*(d+e*x)^(5/2)/e^4-2/7*(3*B*c*d-b*B*e-A*c*e)*_
     (d+e*x)^(7/2)/e^4+2/9*B*c*(d+e*x)^(9/2)/e^4
--E 332
--S 333 of 1125
d0:=D(m0,x)
--E 333
)clear all
--S 334 of 1125
t0:=(A+B*x)*(b*x+c*x^2)/sqrt(d+e*x)
--E 334

--S 335 of 1125
r0:=2/3*(B*d*(3*c*d-2*b*e)-A*e*(2*c*d-b*e))*(d+e*x)^(3/2)/e^4-2/5*(3*B*c*d-_
     b*B*e-A*c*e)*(d+e*x)^(5/2)/e^4+2/7*B*c*(d+e*x)^(7/2)/e^4-2*d*_
     (B*d-A*e)*(c*d-b*e)*sqrt(d+e*x)/e^4
--E 335
--S 336 of 1125
d0:=D(m0,x)
--E 336
)clear all
--S 337 of 1125
t0:=(A+B*x)*(b*x+c*x^2)/(d+e*x)^(3/2)
--E 337
--S 338 of 1125
r0:=-2/3*(3*B*c*d-b*B*e-A*c*e)*(d+e*x)^(3/2)/e^4+2/5*B*c*(d+e*x)^(5/2)/e^4+_
     2*d*(B*d-A*e)*(c*d-b*e)/(e^4*sqrt(d+e*x))+2*(B*d*(3*c*d-2*b*e)-_
     A*e*(2*c*d-b*e))*sqrt(d+e*x)/e^4
--E 338
--S 339 of 1125
d0:=D(m0,x)
--E 339
)clear all
--S 340 of 1125
t0:=(A+B*x)*(b*x+c*x^2)/(d+e*x)^(5/2)
--E 340
--S 341 of 1125
r0:=2/3*d*(B*d-A*e)*(c*d-b*e)/(e^4*(d+e*x)^(3/2))+2/3*B*c*(d+e*x)^(3/2)/e^4-_
     2*(B*d*(3*c*d-2*b*e)-A*e*(2*c*d-b*e))/(e^4*sqrt(d+e*x))-_
     2*(3*B*c*d-b*B*e-A*c*e)*sqrt(d+e*x)/e^4
--E 341
--S 342 of 1125
d0:=D(m0,x)
--E 342
)clear all
--S 343 of 1125
t0:=(A+B*x)*(b*x+c*x^2)/(d+e*x)^(7/2)
--E 343
--S 344 of 1125

r0:=2/5*d*(B*d-A*e)*(c*d-b*e)/(e^4*(d+e*x)^(5/2))-2/3*(B*d*(3*c*d-2*b*e)-_
     A*e*(2*c*d-b*e))/(e^4*(d+e*x)^(3/2))+2*(3*B*c*d-b*B*e-A*c*e)/_
     (e^4*sqrt(d+e*x))+2*B*c*sqrt(d+e*x)/e^4
--E 344
--S 345 of 1125
d0:=D(m0,x)
--E 345
)clear all
--S 346 of 1125
t0:=(A+B*x)*(d+e*x)^(7/2)*(b*x+c*x^2)^2
--E 346
--S 347 of 1125
r0:=-2/9*d^2*(B*d-A*e)*(c*d-b*e)^2*(d+e*x)^(9/2)/e^6+2/11*d*(c*d-b*e)*_
     (B*d*(5*c*d-3*b*e)-2*A*e*(2*c*d-b*e))*(d+e*x)^(11/2)/e^6+_
     2/13*(A*e*(6*c^2*d^2-6*b*c*d*e+b^2*e^2)-B*d*(10*c^2*d^2-12*b*c*d*e+_
     3*b^2*e^2))*(d+e*x)^(13/2)/e^6-2/15*(2*A*c*e*(2*c*d-b*e)-_
     B*(10*c^2*d^2-8*b*c*d*e+b^2*e^2))*(d+e*x)^(15/2)/e^6-2/17*c*_
     (5*B*c*d-2*b*B*e-A*c*e)*(d+e*x)^(17/2)/e^6+2/19*B*c^2*(d+e*x)^(19/2)/e^6
--E 347
--S 348 of 1125
d0:=D(m0,x)
--E 348
)clear all
--S 349 of 1125
t0:=(A+B*x)*(d+e*x)^(5/2)*(b*x+c*x^2)^2
--E 349
--S 350 of 1125
r0:=-2/7*d^2*(B*d-A*e)*(c*d-b*e)^2*(d+e*x)^(7/2)/e^6+2/9*d*(c*d-b*e)*_
     (B*d*(5*c*d-3*b*e)-2*A*e*(2*c*d-b*e))*(d+e*x)^(9/2)/e^6+2/11*_
     (A*e*(6*c^2*d^2-6*b*c*d*e+b^2*e^2)-B*d*(10*c^2*d^2-12*b*c*d*e+_
     3*b^2*e^2))*(d+e*x)^(11/2)/e^6-2/13*(2*A*c*e*(2*c*d-b*e)-_
     B*(10*c^2*d^2-8*b*c*d*e+b^2*e^2))*(d+e*x)^(13/2)/e^6-2/15*c*_
     (5*B*c*d-2*b*B*e-A*c*e)*(d+e*x)^(15/2)/e^6+2/17*B*c^2*(d+e*x)^(17/2)/e^6
--E 350
--S 351 of 1125
d0:=D(m0,x)
--E 351
)clear all
--S 352 of 1125

t0:=(A+B*x)*(d+e*x)^(3/2)*(b*x+c*x^2)^2
--E 352
--S 353 of 1125
r0:=-2/5*d^2*(B*d-A*e)*(c*d-b*e)^2*(d+e*x)^(5/2)/e^6+2/7*d*(c*d-b*e)*_
     (B*d*(5*c*d-3*b*e)-2*A*e*(2*c*d-b*e))*(d+e*x)^(7/2)/e^6+2/9*(A*e*_
     (6*c^2*d^2-6*b*c*d*e+b^2*e^2)-B*d*(10*c^2*d^2-12*b*c*d*e+3*b^2*e^2))*_
     (d+e*x)^(9/2)/e^6-2/11*(2*A*c*e*(2*c*d-b*e)-B*(10*c^2*d^2-8*b*c*d*e+_
     b^2*e^2))*(d+e*x)^(11/2)/e^6-2/13*c*(5*B*c*d-2*b*B*e-A*c*e)*_
     (d+e*x)^(13/2)/e^6+2/15*B*c^2*(d+e*x)^(15/2)/e^6
--E 353
--S 354 of 1125
d0:=D(m0,x)
--E 354
)clear all
--S 355 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^2*sqrt(d+e*x)
--E 355
--S 356 of 1125
r0:=-2/3*d^2*(B*d-A*e)*(c*d-b*e)^2*(d+e*x)^(3/2)/e^6+2/5*d*(c*d-b*e)*_
     (B*d*(5*c*d-3*b*e)-2*A*e*(2*c*d-b*e))*(d+e*x)^(5/2)/e^6+2/7*(A*e*_
     (6*c^2*d^2-6*b*c*d*e+b^2*e^2)-B*d*(10*c^2*d^2-12*b*c*d*e+3*b^2*e^2))*_
     (d+e*x)^(7/2)/e^6-2/9*(2*A*c*e*(2*c*d-b*e)-B*(10*c^2*d^2-_
     8*b*c*d*e+b^2*e^2))*(d+e*x)^(9/2)/e^6-2/11*c*(5*B*c*d-2*b*B*e-A*c*e)*_
     (d+e*x)^(11/2)/e^6+2/13*B*c^2*(d+e*x)^(13/2)/e^6
--E 356
--S 357 of 1125
d0:=D(m0,x)
--E 357
)clear all
--S 358 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^2/sqrt(d+e*x)
--E 358
--S 359 of 1125
r0:=2/3*d*(c*d-b*e)*(B*d*(5*c*d-3*b*e)-2*A*e*(2*c*d-b*e))*(d+e*x)^(3/2)/e^6+_
     2/5*(A*e*(6*c^2*d^2-6*b*c*d*e+b^2*e^2)-B*d*(10*c^2*d^2-12*b*c*d*e+_
     3*b^2*e^2))*(d+e*x)^(5/2)/e^6-2/7*(2*A*c*e*(2*c*d-b*e)-B*(10*c^2*d^2-_
     8*b*c*d*e+b^2*e^2))*(d+e*x)^(7/2)/e^6-2/9*c*(5*B*c*d-2*b*B*e-A*c*e)*_
     (d+e*x)^(9/2)/e^6+2/11*B*c^2*(d+e*x)^(11/2)/e^6-2*d^2*(B*d-A*e)*_
     (c*d-b*e)^2*sqrt(d+e*x)/e^6
--E 359

)clear all
--S 361 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^2/(d+e*x)^(3/2)
--E 361
--S 362 of 1125
r0:=2/3*(A*e*(6*c^2*d^2-6*b*c*d*e+b^2*e^2)-B*d*(10*c^2*d^2-12*b*c*d*e+_
     3*b^2*e^2))*(d+e*x)^(3/2)/e^6-2/5*(2*A*c*e*(2*c*d-b*e)-B*(10*c^2*d^2-_
     8*b*c*d*e+b^2*e^2))*(d+e*x)^(5/2)/e^6-2/7*c*(5*B*c*d-2*b*B*e-A*c*e)*_
     (d+e*x)^(7/2)/e^6+2/9*B*c^2*(d+e*x)^(9/2)/e^6+2*d^2*(B*d-A*e)*_
     (c*d-b*e)^2/(e^6*sqrt(d+e*x))+2*d*(c*d-b*e)*(B*d*(5*c*d-3*b*e)-_
     2*A*e*(2*c*d-b*e))*sqrt(d+e*x)/e^6
--E 362
--S 363 of 1125
d0:=D(m0,x)
--E 363
)clear all
--S 364 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^2/(d+e*x)^(5/2)
--E 364
--S 365 of 1125
r0:=2/3*d^2*(B*d-A*e)*(c*d-b*e)^2/(e^6*(d+e*x)^(3/2))-2/3*(2*A*c*e*(2*c*d-_
     b*e)-B*(10*c^2*d^2-8*b*c*d*e+b^2*e^2))*(d+e*x)^(3/2)/e^6-2/5*c*_
     (5*B*c*d-2*b*B*e-A*c*e)*(d+e*x)^(5/2)/e^6+2/7*B*c^2*(d+e*x)^(7/2)/e^6-_
     2*d*(c*d-b*e)*(B*d*(5*c*d-3*b*e)-2*A*e*(2*c*d-b*e))/(e^6*sqrt(d+e*x))+_
     2*(A*e*(6*c^2*d^2-6*b*c*d*e+b^2*e^2)-B*d*(10*c^2*d^2-12*b*c*d*e+_
     3*b^2*e^2))*sqrt(d+e*x)/e^6
--E 365
--S 366 of 1125
d0:=D(m0,x)
--E 366
)clear all
--S 367 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^2/(d+e*x)^(7/2)
--E 367
--S 368 of 1125
r0:=2/5*d^2*(B*d-A*e)*(c*d-b*e)^2/(e^6*(d+e*x)^(5/2))-2/3*d*(c*d-b*e)*_

     (B*d*(5*c*d-3*b*e)-2*A*e*(2*c*d-b*e))/(e^6*(d+e*x)^(3/2))-2/3*c*_
     (5*B*c*d-2*b*B*e-A*c*e)*(d+e*x)^(3/2)/e^6+2/5*B*c^2*(d+e*x)^(5/2)/e^6-_
     2*(A*e*(6*c^2*d^2-6*b*c*d*e+b^2*e^2)-B*d*(10*c^2*d^2-12*b*c*d*e+_
     3*b^2*e^2))/(e^6*sqrt(d+e*x))-2*(2*A*c*e*(2*c*d-b*e)-B*(10*c^2*d^2-_
     8*b*c*d*e+b^2*e^2))*sqrt(d+e*x)/e^6
--E 368
--S 369 of 1125
d0:=D(m0,x)
--E 369
)clear all
--S 370 of 1125
t0:=(A+B*x)*(d+e*x)^(7/2)/(b*x+c*x^2)
--E 370
--S 371 of 1125
r0:=2/3*(B*(c*d-b*e)^2+A*c*e*(2*c*d-b*e))*(d+e*x)^(3/2)/c^3+2/5*_
     (B*c*d-b*B*e+A*c*e)*(d+e*x)^(5/2)/c^2+2/7*B*(d+e*x)^(7/2)/c-_
     2*A*d^(7/2)*atanh(sqrt(d+e*x)/sqrt(d))/b-2*(b*B-A*c)*(c*d-b*e)^(7/2)*_
     atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))/(b*c^(9/2))+2*(B*(c*d-b*e)^3+_
     A*c*e*(3*c^2*d^2-3*b*c*d*e+b^2*e^2))*sqrt(d+e*x)/c^4
--E 371
--S 372 of 1125
d0:=D(m0,x)
--E 372
)clear all
--S 373 of 1125
t0:=(A+B*x)*(d+e*x)^(5/2)/(b*x+c*x^2)
--E 373
--S 374 of 1125
r0:=2/3*(B*c*d-b*B*e+A*c*e)*(d+e*x)^(3/2)/c^2+2/5*B*(d+e*x)^(5/2)/c-_
     2*A*d^(5/2)*atanh(sqrt(d+e*x)/sqrt(d))/b-2*(b*B-A*c)*(c*d-b*e)^(5/2)*_
     atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))/(b*c^(7/2))+2*(B*(c*d-b*e)^2+_
     A*c*e*(2*c*d-b*e))*sqrt(d+e*x)/c^3
--E 374
--S 375 of 1125
d0:=D(m0,x)
--E 375
)clear all
--S 376 of 1125
t0:=(A+B*x)*(d+e*x)^(3/2)/(b*x+c*x^2)

--E 376
--S 377 of 1125
r0:=2/3*B*(d+e*x)^(3/2)/c-2*A*d^(3/2)*atanh(sqrt(d+e*x)/sqrt(d))/b-_
     2*(b*B-A*c)*(c*d-b*e)^(3/2)*atanh(sqrt(c)*sqrt(d+e*x)/_
     sqrt(c*d-b*e))/(b*c^(5/2))+2*(B*c*d-b*B*e+A*c*e)*sqrt(d+e*x)/c^2
--E 377
--S 378 of 1125
d0:=D(m0,x)
--E 378
)clear all
--S 379 of 1125
t0:=(A+B*x)*sqrt(d+e*x)/(b*x+c*x^2)
--E 379
--S 380 of 1125
r0:=-2*A*atanh(sqrt(d+e*x)/sqrt(d))*sqrt(d)/b-2*(b*B-A*c)*atanh(sqrt(c)*_
     sqrt(d+e*x)/sqrt(c*d-b*e))*sqrt(c*d-b*e)/(b*c^(3/2))+2*B*sqrt(d+e*x)/c
--E 380
--S 381 of 1125
d0:=D(m0,x)
--E 381
)clear all
--S 382 of 1125
t0:=(A+B*x)/((b*x+c*x^2)*sqrt(d+e*x))
--E 382
--S 383 of 1125
r0:=-2*A*atanh(sqrt(d+e*x)/sqrt(d))/(b*sqrt(d))-2*(b*B-A*c)*atanh(sqrt(c)*_
     sqrt(d+e*x)/sqrt(c*d-b*e))/(b*sqrt(c)*sqrt(c*d-b*e))
--E 383
--S 384 of 1125
d0:=D(m0,x)
--E 384
)clear all
--S 385 of 1125
t0:=(A+B*x)/((d+e*x)^(3/2)*(b*x+c*x^2))
--E 385
--S 386 of 1125
r0:=-2*A*atanh(sqrt(d+e*x)/sqrt(d))/(b*d^(3/2))-2*(b*B-A*c)*atanh(sqrt(c)*_

     sqrt(d+e*x)/sqrt(c*d-b*e))*sqrt(c)/(b*(c*d-b*e)^(3/2))+_
     2*(B*d-A*e)/(d*(c*d-b*e)*sqrt(d+e*x))
--E 386
--S 387 of 1125
d0:=D(m0,x)
--E 387
)clear all
--S 388 of 1125
t0:=(A+B*x)/((d+e*x)^(5/2)*(b*x+c*x^2))
--E 388
--S 389 of 1125
r0:=2/3*(B*d-A*e)/(d*(c*d-b*e)*(d+e*x)^(3/2))-2*A*atanh(sqrt(d+e*x)/_
     sqrt(d))/(b*d^(5/2))-2*c^(3/2)*(b*B-A*c)*atanh(sqrt(c)*sqrt(d+e*x)/_
     sqrt(c*d-b*e))/(b*(c*d-b*e)^(5/2))+2*(B*c*d^2-A*e*(2*c*d-b*e))/(d^2*_
     (c*d-b*e)^2*sqrt(d+e*x))
--E 389
--S 390 of 1125
d0:=D(m0,x)
--E 390
)clear all
--S 391 of 1125
t0:=(A+B*x)/((d+e*x)^(7/2)*(b*x+c*x^2))
--E 391
--S 392 of 1125
r0:=2/5*(B*d-A*e)/(d*(c*d-b*e)*(d+e*x)^(5/2))+2/3*(B*c*d^2-A*e*(2*c*d-_
     b*e))/(d^2*(c*d-b*e)^2*(d+e*x)^(3/2))-2*A*atanh(sqrt(d+e*x)/_
     sqrt(d))/(b*d^(7/2))-2*c^(5/2)*(b*B-A*c)*atanh(sqrt(c)*sqrt(d+e*x)/_
     sqrt(c*d-b*e))/(b*(c*d-b*e)^(7/2))+2*(B*c^2*d^3-A*e*(3*c^2*d^2-_
     3*b*c*d*e+b^2*e^2))/(d^3*(c*d-b*e)^3*sqrt(d+e*x))
--E 392
--S 393 of 1125
d0:=D(m0,x)
--E 393
)clear all
--S 394 of 1125
t0:=(A+B*x)/((d+e*x)^(9/2)*(b*x+c*x^2))
--E 394
--S 395 of 1125

r0:=2/7*(B*d-A*e)/(d*(c*d-b*e)*(d+e*x)^(7/2))+2/5*(B*c*d^2-A*e*(2*c*d-b*e))/_
     (d^2*(c*d-b*e)^2*(d+e*x)^(5/2))+2/3*(B*c^2*d^3-A*e*(3*c^2*d^2-_
     3*b*c*d*e+b^2*e^2))/(d^3*(c*d-b*e)^3*(d+e*x)^(3/2))-_
     2*A*atanh(sqrt(d+e*x)/sqrt(d))/(b*d^(9/2))-2*c^(7/2)*(b*B-A*c)*_
     atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))/(b*(c*d-b*e)^(9/2))+_
     2*(B*c^3*d^4-A*e*(4*c^3*d^3-6*b*c^2*d^2*e+4*b^2*c*d*e^2-b^3*e^3))/_
     (d^4*(c*d-b*e)^4*sqrt(d+e*x))
--E 395
--S 396 of 1125
d0:=D(m0,x)
--E 396
)clear all
--S 397 of 1125
t0:=(A+B*x)*(d+e*x)^(9/2)/(b*x+c*x^2)^2
--E 397
--S 398 of 1125
r0:=1/3*e*(6*A*c^3*d^2-7*b^3*B*e^2-3*b*c^2*d*(B*d+2*A*e)+b^2*c*e*_
     (12*B*d+5*A*e))*(d+e*x)^(3/2)/(b^2*c^3)+1/5*e*(10*A*c^2*d+7*b^2*B*e-_
     5*b*c*(B*d+A*e))*(d+e*x)^(5/2)/(b^2*c^2)+(b*B-2*A*c)*(c*d-b*e)*_
     (d+e*x)^(7/2)/(b^2*c*(b+c*x))-A*(d+e*x)^(9/2)/(b*x*(b+c*x))-_
     d^(7/2)*(2*b*B*d-4*A*c*d+9*A*b*e)*atanh(sqrt(d+e*x)/sqrt(d))/b^3-_
     (c*d-b*e)^(7/2)*(4*A*c^2*d-7*b^2*B*e-b*c*(2*B*d-5*A*e))*_
     atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))/(b^3*c^(9/2))+_
     e*(2*A*c^4*d^3+7*b^4*B*e^3-b*c^3*d^2*(B*d+3*A*e)-b^3*c*e^2*_
     (19*B*d+5*A*e)+b^2*c^2*d*e*(15*B*d+11*A*e))*sqrt(d+e*x)/(b^2*c^4)
--E 398
--S 399 of 1125
d0:=D(m0,x)
--E 399
)clear all
--S 400 of 1125
t0:=(A+B*x)*(d+e*x)^(7/2)/(b*x+c*x^2)^2
--E 400
--S 401 of 1125
r0:=1/3*e*(6*A*c^2*d+5*b^2*B*e-3*b*c*(B*d+A*e))*(d+e*x)^(3/2)/(b^2*c^2)+_
     (b*B-2*A*c)*(c*d-b*e)*(d+e*x)^(5/2)/(b^2*c*(b+c*x))-A*(d+e*x)^(7/2)/_
     (b*x*(b+c*x))-d^(5/2)*(2*b*B*d-4*A*c*d+7*A*b*e)*atanh(sqrt(d+e*x)/_
     sqrt(d))/b^3+(c*d-b*e)^(5/2)*(2*b*B*c*d-4*A*c^2*d+5*b^2*B*e-_
     3*A*b*c*e)*atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))/(b^3*c^(7/2))+_
     e*(2*A*c^3*d^2-5*b^3*B*e^2-b*c^2*d*(B*d+2*A*e)+b^2*c*e*(8*B*d+_
     3*A*e))*sqrt(d+e*x)/(b^2*c^3)
--E 401

)clear all
--S 403 of 1125
t0:=(A+B*x)*(d+e*x)^(5/2)/(b*x+c*x^2)^2
--E 403
--S 404 of 1125
r0:=(b*B-2*A*c)*(c*d-b*e)*(d+e*x)^(3/2)/(b^2*c*(b+c*x))-A*(d+e*x)^(5/2)/_
     (b*x*(b+c*x))-d^(3/2)*(2*b*B*d-4*A*c*d+5*A*b*e)*atanh(sqrt(d+e*x)/_
     sqrt(d))/b^3-(c*d-b*e)^(3/2)*(4*A*c^2*d-3*b^2*B*e-b*c*(2*B*d-A*e))*_
     atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))/(b^3*c^(5/2))+e*(2*A*c^2*d+_
     3*b^2*B*e-b*c*(B*d+A*e))*sqrt(d+e*x)/(b^2*c^2)
--E 404
--S 405 of 1125
d0:=D(m0,x)
--E 405
)clear all
--S 406 of 1125
t0:=(A+B*x)*(d+e*x)^(3/2)/(b*x+c*x^2)^2
--E 406
--S 407 of 1125
r0:=-A*(d+e*x)^(3/2)/(b*x*(b+c*x))-(2*b*B*d-4*A*c*d+3*A*b*e)*_
     atanh(sqrt(d+e*x)/sqrt(d))*sqrt(d)/b^3-(4*A*c^2*d-b^2*B*e-_
     b*c*(2*B*d+A*e))*atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))*_
     sqrt(c*d-b*e)/(b^3*c^(3/2))+(b*B-2*A*c)*(c*d-b*e)*sqrt(d+e*x)/_
     (b^2*c*(b+c*x))
--E 407
--S 408 of 1125
d0:=D(m0,x)
--E 408
)clear all
--S 409 of 1125
t0:=(A+B*x)*sqrt(d+e*x)/(b*x+c*x^2)^2
--E 409
--S 410 of 1125
r0:=-(2*b*B*d-4*A*c*d+A*b*e)*atanh(sqrt(d+e*x)/sqrt(d))/(b^3*sqrt(d))+_
     (2*b*B*c*d-4*A*c^2*d-b^2*B*e+3*A*b*c*e)*atanh(sqrt(c)*sqrt(d+e*x)/_

     sqrt(c*d-b*e))/(b^3*sqrt(c)*sqrt(c*d-b*e))+(b*B-2*A*c)*sqrt(d+e*x)/_
     (b^2*(b+c*x))-A*sqrt(d+e*x)/(b*x*(b+c*x))
--E 410
--S 411 of 1125
d0:=D(m0,x)
--E 411
)clear all
--S 412 of 1125
t0:=(A+B*x)/((b*x+c*x^2)^2*sqrt(d+e*x))
--E 412
--S 413 of 1125
r0:=-(2*b*B*d-4*A*c*d-A*b*e)*atanh(sqrt(d+e*x)/sqrt(d))/(b^3*d^(3/2))+_
     (2*b*B*c*d-4*A*c^2*d-3*b^2*B*e+5*A*b*c*e)*atanh(sqrt(c)*sqrt(d+e*x)/_
     sqrt(c*d-b*e))*sqrt(c)/(b^3*(c*d-b*e)^(3/2))+c*(b*B*d-2*A*c*d+A*b*e)*_
     sqrt(d+e*x)/(b^2*d*(c*d-b*e)*(b+c*x))-A*sqrt(d+e*x)/(b*d*x*(b+c*x))
--E 413
--S 414 of 1125
d0:=D(m0,x)
--E 414
)clear all
--S 415 of 1125
t0:=(A+B*x)/((d+e*x)^(3/2)*(b*x+c*x^2)^2)
--E 415
--S 416 of 1125
r0:=-(2*b*B*d-4*A*c*d-3*A*b*e)*atanh(sqrt(d+e*x)/sqrt(d))/(b^3*d^(5/2))-_
     c^(3/2)*(4*A*c^2*d+5*b^2*B*e-b*c*(2*B*d+7*A*e))*atanh(sqrt(c)*_
     sqrt(d+e*x)/sqrt(c*d-b*e))/(b^3*(c*d-b*e)^(5/2))-e*(2*A*c^2*d^2-_
     b^2*e*(2*B*d-3*A*e)-b*c*d*(B*d+2*A*e))/(b^2*d^2*(c*d-b*e)^2*_
     sqrt(d+e*x))+c*(b*B*d-2*A*c*d+A*b*e)/(b^2*d*(c*d-b*e)*(b+c*x)*_
     sqrt(d+e*x))-A/(b*d*x*(b+c*x)*sqrt(d+e*x))
--E 416
--S 417 of 1125
d0:=D(m0,x)
--E 417
)clear all
--S 418 of 1125
t0:=(A+B*x)/((d+e*x)^(5/2)*(b*x+c*x^2)^2)
--E 418

--S 419 of 1125
r0:=-1/3*e*(6*A*c^2*d^2-b^2*e*(2*B*d-5*A*e)-3*b*c*d*(B*d+2*A*e))/_
     (b^2*d^2*(c*d-b*e)^2*(d+e*x)^(3/2))+c*(b*B*d-2*A*c*d+A*b*e)/_
     (b^2*d*(c*d-b*e)*(b+c*x)*(d+e*x)^(3/2))-A/(b*d*x*(b+c*x)*_
     (d+e*x)^(3/2))-(2*b*B*d-4*A*c*d-5*A*b*e)*atanh(sqrt(d+e*x)/sqrt(d))/_
     (b^3*d^(7/2))+c^(5/2)*(2*b*B*c*d-4*A*c^2*d-7*b^2*B*e+9*A*b*c*e)*_
     atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))/(b^3*(c*d-b*e)^(7/2))-_
     e*(2*A*c^3*d^3-b^2*c*d*e*(6*B*d-11*A*e)+b^3*e^2*(2*B*d-5*A*e)-_
     b*c^2*d^2*(B*d+3*A*e))/(b^2*d^3*(c*d-b*e)^3*sqrt(d+e*x))
--E 419
--S 420 of 1125
d0:=D(m0,x)
--E 420
)clear all
--S 421 of 1125
t0:=(A+B*x)/((d+e*x)^(7/2)*(b*x+c*x^2)^2)
--E 421
--S 422 of 1125
r0:=-1/5*e*(10*A*c^2*d^2-b^2*e*(2*B*d-7*A*e)-5*b*c*d*(B*d+2*A*e))/_
     (b^2*d^2*(c*d-b*e)^2*(d+e*x)^(5/2))+c*(b*B*d-2*A*c*d+A*b*e)/_
     (b^2*d*(c*d-b*e)*(b+c*x)*(d+e*x)^(5/2))-A/(b*d*x*(b+c*x)*_
     (d+e*x)^(5/2))-1/3*e*(6*A*c^3*d^3-b^2*c*d*e*(6*B*d-17*A*e)+_
     b^3*e^2*(2*B*d-7*A*e)-3*b*c^2*d^2*(B*d+3*A*e))/(b^2*d^3*_
     (c*d-b*e)^3*(d+e*x)^(3/2))-(2*b*B*d-4*A*c*d-7*A*b*e)*_
     atanh(sqrt(d+e*x)/sqrt(d))/(b^3*d^(9/2))-c^(7/2)*(4*A*c^2*d+9*b^2*B*e-_
     b*c*(2*B*d+11*A*e))*atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))/_
     (b^3*(c*d-b*e)^(9/2))-e*(2*A*c^4*d^4-2*b^2*c^2*d^2*e*(6*B*d-13*A*e)-_
     b^4*e^3*(2*B*d-7*A*e)+8*b^3*c*d*e^2*(B*d-3*A*e)-b*c^3*d^3*_
     (B*d+4*A*e))/(b^2*d^4*(c*d-b*e)^4*sqrt(d+e*x))
--E 422
--S 423 of 1125
d0:=D(m0,x)
--E 423
)clear all
--S 424 of 1125
t0:=(A+B*x)*(d+e*x)^(9/2)/(b*x+c*x^2)^3
--E 424
--S 425 of 1125
r0:=1/4*(c*d-b*e)*(24*A*c^3*d^2+5*b^3*B*e^2+b^2*c*e*(3*B*d-A*e)-_
     12*b*c^2*d*(B*d+2*A*e))*(d+e*x)^(3/2)/(b^4*c^2*(b+c*x))-_
     1/4*(c*d-b*e)*(6*b*B*c*d-12*A*c^2*d-2*b^2*B*e+13*A*b*c*e)*_
     (d+e*x)^(5/2)/(b^3*c*(b+c*x)^2)-1/4*(4*b*B*d-8*A*c*d+9*A*b*e)*_

(d+e*x)^(7/2)/(b^2*x*(b+c*x)^2)-1/2*A*(d+e*x)^(9/2)/(b*x^2*_
(b+c*x)^2)-3/4*d^(5/2)*(16*A*c^2*d^2+3*b^2*e*(4*B*d+7*A*e)-_
4*b*c*d*(2*B*d+9*A*e))*atanh(sqrt(d+e*x)/sqrt(d))/b^5+_
3/4*(c*d-b*e)^(5/2)*(16*A*c^3*d^2-5*b^3*B*e^2-4*b*c^2*d*_
(2*B*d-A*e)-b^2*c*e*(8*B*d-A*e))*atanh(sqrt(c)*sqrt(d+e*x)/_
sqrt(c*d-b*e))/(b^5*c^(7/2))-3/4*e*(8*A*c^4*d^3-5*b^4*B*e^3+_
b^3*c*e^2*(2*B*d+A*e)+b^2*c^2*d*e*(3*B*d+2*A*e)-4*b*c^3*d^2*_
(B*d+3*A*e))*sqrt(d+e*x)/(b^4*c^3)
--E 425
--S 426 of 1125
d0:=D(m0,x)
--E 426
)clear all
--S 427 of 1125
t0:=(A+B*x)*(d+e*x)^(7/2)/(b*x+c*x^2)^3
--E 427
--S 428 of 1125
r0:=-1/4*(c*d-b*e)*(6*b*B*c*d-12*A*c^2*d-2*b^2*B*e+11*A*b*c*e)*_
(d+e*x)^(3/2)/(b^3*c*(b+c*x)^2)-1/4*(4*b*B*d-8*A*c*d+7*A*b*e)*_
(d+e*x)^(5/2)/(b^2*x*(b+c*x)^2)-1/2*A*(d+e*x)^(7/2)/(b*x^2*_
(b+c*x)^2)-1/4*d^(3/2)*(48*A*c^2*d^2+7*b^2*e*(4*B*d+5*A*e)-_
12*b*c*d*(2*B*d+7*A*e))*atanh(sqrt(d+e*x)/sqrt(d))/b^5+1/4*_
(c*d-b*e)^(3/2)*(48*A*c^3*d^2-3*b^3*B*e^2-12*b*c^2*d*(2*B*d+A*e)-_
b^2*c*e*(8*B*d+A*e))*atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))/_
(b^5*c^(5/2))+1/4*(c*d-b*e)*(24*A*c^3*d^2+3*b^3*B*e^2+b^2*c*e*_
(5*B*d+A*e)-12*b*c^2*d*(B*d+2*A*e))*sqrt(d+e*x)/(b^4*c^2*(b+c*x))
--E 428
--S 429 of 1125
d0:=D(m0,x)
--E 429
)clear all
--S 430 of 1125
t0:=(A+B*x)*(d+e*x)^(5/2)/(b*x+c*x^2)^3
--E 430
--S 431 of 1125
r0:=-1/4*(4*b*B*d-8*A*c*d+5*A*b*e)*(d+e*x)^(3/2)/(b^2*x*(b+c*x)^2)-_
1/2*A*(d+e*x)^(5/2)/(b*x^2*(b+c*x)^2)-1/4*(48*A*c^2*d^2+5*b^2*e*_
(4*B*d+3*A*e)-12*b*c*d*(2*B*d+5*A*e))*atanh(sqrt(d+e*x)/sqrt(d))*_
sqrt(d)/b^5+1/4*(48*A*c^3*d^2+b^3*B*e^2-12*b*c^2*d*(2*B*d+3*A*e)+_
b^2*c*e*(8*B*d+3*A*e))*atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))*_
sqrt(c*d-b*e)/(b^5*c^(3/2))-1/4*(c*d-b*e)*(6*b*B*c*d-12*A*c^2*d-_
2*b^2*B*e+9*A*b*c*e)*sqrt(d+e*x)/(b^3*c*(b+c*x)^2)+1/4*_

     (24*A*c^3*d^2+b^3*B*e^2-12*b*c^2*d*(B*d+2*A*e)+b^2*c*e*_
     (7*B*d+3*A*e))*sqrt(d+e*x)/(b^4*c*(b+c*x))
--E 431
--S 432 of 1125
d0:=D(m0,x)
--E 432
)clear all
--S 433 of 1125
t0:=(A+B*x)*(d+e*x)^(3/2)/(b*x+c*x^2)^3
--E 433
--S 434 of 1125
r0:=-1/2*A*(d+e*x)^(3/2)/(b*x^2*(b+c*x)^2)-3/4*(16*A*c^2*d^2+b^2*e*_
     (4*B*d+A*e)-4*b*c*d*(2*B*d+3*A*e))*atanh(sqrt(d+e*x)/sqrt(d))/_
     (b^5*sqrt(d))+3/4*(16*A*c^3*d^2-b^3*B*e^2-4*b*c^2*d*(2*B*d+5*A*e)+_
     b^2*c*e*(8*B*d+5*A*e))*atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))/_
     (b^5*sqrt(c)*sqrt(c*d-b*e))-1/4*(6*b*B*c*d-12*A*c^2*d-2*b^2*B*e+_
     7*A*b*c*e)*sqrt(d+e*x)/(b^3*(b+c*x)^2)-1/4*(4*b*B*d-8*A*c*d+3*A*b*e)*_
     sqrt(d+e*x)/(b^2*x*(b+c*x)^2)+3/4*(8*A*c^2*d+b^2*B*e-4*b*c*(B*d+A*e))*_
     sqrt(d+e*x)/(b^4*(b+c*x))
--E 434
--S 435 of 1125
d0:=D(m0,x)
--E 435
)clear all
--S 436 of 1125
t0:=(A+B*x)*sqrt(d+e*x)/(b*x+c*x^2)^3
--E 436
--S 437 of 1125
r0:=-1/4*(48*A*c^2*d^2+b^2*e*(4*B*d-A*e)-12*b*c*d*(2*B*d+A*e))*_
     atanh(sqrt(d+e*x)/sqrt(d))/(b^5*d^(3/2))+1/4*(48*A*c^3*d^2-_
     15*b^3*B*e^2-12*b*c^2*d*(2*B*d+7*A*e)+5*b^2*c*e*(8*B*d+7*A*e))*_
     atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))*sqrt(c)/(b^5*_
     (c*d-b*e)^(3/2))-1/4*c*(6*b*B*d-12*A*c*d+A*b*e)*sqrt(d+e*x)/_
     (b^3*d*(b+c*x)^2)-1/2*A*sqrt(d+e*x)/(b*x^2*(b+c*x)^2)-_
     1/4*(4*b*B*d-8*A*c*d+A*b*e)*sqrt(d+e*x)/(b^2*d*x*(b+c*x)^2)+_
     1/4*c*(24*A*c^2*d^2+b^2*e*(11*B*d+A*e)-12*b*c*d*(B*d+2*A*e))*_
     sqrt(d+e*x)/(b^4*d*(c*d-b*e)*(b+c*x))
--E 437
--S 438 of 1125
d0:=D(m0,x)
--E 438

--S 439 of 1125
t0:=(A+B*x)/((b*x+c*x^2)^3*sqrt(d+e*x))
--E 439
--S 440 of 1125
r0:=-1/4*(48*A*c^2*d^2-b^2*e*(4*B*d-3*A*e)-12*b*c*d*(2*B*d-A*e))*_
     atanh(sqrt(d+e*x)/sqrt(d))/(b^5*d^(5/2))+1/4*c^(3/2)*_
     (48*A*c^3*d^2-35*b^3*B*e^2-12*b*c^2*d*(2*B*d+9*A*e)+7*b^2*c*e*_
     (8*B*d+9*A*e))*atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))/(b^5*_
     (c*d-b*e)^(5/2))+1/4*c*(12*A*c^2*d^2+b^2*e*(4*B*d-3*A*e)-b*c*d*_
     (6*B*d+7*A*e))*sqrt(d+e*x)/(b^3*d^2*(c*d-b*e)*(b+c*x)^2)-1/2*A*_
     sqrt(d+e*x)/(b*d*x^2*(b+c*x)^2)-1/4*(4*b*B*d-8*A*c*d-3*A*b*e)*_
     sqrt(d+e*x)/(b^2*d^2*x*(b+c*x)^2)+1/4*c*(24*A*c^3*d^3-b^3*e^2*_
     (4*B*d-3*A*e)-12*b*c^2*d^2*(B*d+3*A*e)+b^2*c*d*e*(19*B*d+6*A*e))*_
     sqrt(d+e*x)/(b^4*d^2*(c*d-b*e)^2*(b+c*x))
--E 440
--S 441 of 1125
d0:=D(m0,x)
--E 441
)clear all
--S 442 of 1125
t0:=(A+B*x)/((d+e*x)^(3/2)*(b*x+c*x^2)^3)
--E 442
--S 443 of 1125
r0:=-3/4*(16*A*c^2*d^2-b^2*e*(4*B*d-5*A*e)-4*b*c*d*(2*B*d-3*A*e))*_
     atanh(sqrt(d+e*x)/sqrt(d))/(b^5*d^(7/2))+3/4*c^(5/2)*(16*A*c^3*d^2-_
     21*b^3*B*e^2-4*b*c^2*d*(2*B*d+11*A*e)+3*b^2*c*e*(8*B*d+11*A*e))*_
     atanh(sqrt(c)*sqrt(d+e*x)/sqrt(c*d-b*e))/(b^5*(c*d-b*e)^(7/2))+_
     3/4*e*(8*A*c^4*d^4+b^4*e^3*(4*B*d-5*A*e)-b^3*c*d*e^2*(4*B*d-3*A*e)-_
     4*b*c^3*d^3*(B*d+4*A*e)+b^2*c^2*d^2*e*(9*B*d+5*A*e))/(b^4*d^3*_
     (c*d-b*e)^3*sqrt(d+e*x))+1/4*c*(12*A*c^2*d^2+b^2*e*(4*B*d-5*A*e)-_
     b*c*d*(6*B*d+5*A*e))/(b^3*d^2*(c*d-b*e)*(b+c*x)^2*sqrt(d+e*x))-_
     1/2*A/(b*d*x^2*(b+c*x)^2*sqrt(d+e*x))+1/4*(-4*b*B*d+8*A*c*d+_
     5*A*b*e)/(b^2*d^2*x*(b+c*x)^2*sqrt(d+e*x))+1/4*c*(24*A*c^3*d^3-_
     b^3*e^2*(4*B*d-5*A*e)+b^2*c*d*e*(21*B*d+2*A*e)-12*b*c^2*d^2*(B*d+_
     3*A*e))/(b^4*d^2*(c*d-b*e)^2*(b+c*x)*sqrt(d+e*x))
--E 443
--S 444 of 1125
d0:=D(m0,x)
--E 444
)clear all

--S 445 of 1125
t0:=(A+B*x)/((d+e*x)^(5/2)*(b*x+c*x^2)^3)
--E 445
--S 446 of 1125
r0:=1/12*e*(72*A*c^4*d^4+5*b^4*e^3*(4*B*d-7*A*e)-9*b^3*c*d*e^2*(4*B*d-_
   5*A*e)-36*b*c^3*d^3*(B*d+4*A*e)+3*b^2*c^2*d^2*e*(29*B*d+9*A*e))/(b^4*_
   d^3*(c*d-b*e)^3*(d+e*x)^(3/2))+1/4*c*(12*A*c^2*d^2+b^2*e*(4*B*d-7*A*e)-_
   3*b*c*d*(2*B*d+A*e))/(b^3*d^2*(c*d-b*e)*(b+c*x)^2*(d+e*x)^(3/2))-_
   1/2*A/(b*d*x^2*(b+c*x)^2*(d+e*x)^(3/2))+1/4*(-4*b*B*d+8*A*c*d+7*A*b*e)/_
   (b^2*d^2*x*(b+c*x)^2*(d+e*x)^(3/2))+1/4*c*(24*A*c^3*d^3-b^3*e^2*_
   (4*B*d-7*A*e)+b^2*c*d*e*(23*B*d-2*A*e)-12*b*c^2*d^2*(B*d+3*A*e))/_
   (b^4*d^2*(c*d-b*e)^2*(b+c*x)*(d+e*x)^(3/2))-1/4*(48*A*c^2*d^2-_
   5*b^2*e*(4*B*d-7*A*e)-12*b*c*d*(2*B*d-5*A*e))*atanh(sqrt(d+e*x)/_
   sqrt(d))/(b^5*d^(9/2))+1/4*c^(7/2)*(48*A*c^3*d^2-99*b^3*B*e^2-_
   12*b*c^2*d*(2*B*d+13*A*e)+11*b^2*c*e*(8*B*d+13*A*e))*atanh(sqrt(c)*_
   sqrt(d+e*x)/sqrt(c*d-b*e))/(b^5*(c*d-b*e)^(9/2))+1/4*e*(24*A*c^5*d^5+_
   8*b^4*c*d*e^3*(7*B*d-10*A*e)-5*b^5*e^4*(4*B*d-7*A*e)-6*b^3*_
   c^2*d^2*e^2*(4*B*d-3*A*e)+7*b^2*c^3*d^3*e*(5*B*d+4*A*e)-12*b*c^4*d^4*_
   (B*d+5*A*e))/(b^4*d^4*(c*d-b*e)^4*sqrt(d+e*x))
--E 446
--S 447 of 1125
d0:=D(m0,x)
--E 447
)clear all
--S 448 of 1125
t0:=(A+B*x)*(d+e*x)^(1/2)*sqrt(b*x+c*x^2)
--E 448
--S 449 of 1125
--r0:=2/7*B*(b*x+c*x^2)^(3/2)*sqrt(d+e*x)/c-2/105*(14*A*c*e*(c^2*d^2-_
--     b*c*d*e+b^2*e^2)-B*(8*c^3*d^3-5*b*c^2*d^2*e-5*b^2*c*d*e^2+8*_
--     b^3*e^3))*(b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),_
--     c*d/(b*e))*sqrt(-d)*sqrt(x)*sqrt((d+e*x)/d)/(c^3*e^(5/2)*_
--     sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))-2/105*(-b)^(3/2)*_
--     (c*d-b*e)*(7*A*c*e*(c*d-2*b*e)-B*(4*c^2*d^2+b*c*d*e-8*b^2*e^2))*_
--     elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*_
--     sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/(c^(7/2)*e^2*sqrt(d+e*x)*sqrt(b*x+_
--     c*x^2))+2/105*(7*A*c*e*(c*d+b*e)-B*(4*c^2*d^2-2*b*c*d*e+4*b^2*e^2)+_
--     3*c*e*(B*c*d-4*b*B*e+7*A*c*e)*x)*sqrt(d+e*x)*sqrt(b*x+c*x^2)/(c^2*e^2)
--E 449
--S 450 of 1125
d0:=D(m0,x)
--E 450

--S 451 of 1125
t0:=(A+B*x)*sqrt(b*x+c*x^2)/(d+e*x)^(1/2)
--E 451
--S 452 of 1125
--r0:=-2/15*(5*A*c*e*(2*c*d-b*e)-B*(8*c^2*d^2-3*b*c*d*e-2*b^2*e^2))*_
--     (b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),c*d/(b*e))*_
--     sqrt(-d)*sqrt(x)*sqrt((d+e*x)/d)/(c^2*e^(5/2)*sqrt((b+c*x)/b)*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2))+2/15*(-b)^(3/2)*(c*d-b*e)*(4*B*c*d+_
--     2*b*B*e-5*A*c*e)*elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),_
--     b*e/(c*d))*sqrt(x)*sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/(c^(5/2)*e^2*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2))-2/15*(4*B*c*d-b*B*e-5*A*c*e-3*B*c*e*x)*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2)/(c*e^2)
--E 452
--S 453 of 1125
d0:=D(m0,x)
--E 453
)clear all
--S 454 of 1125
t0:=(A+B*x)*sqrt(b*x+c*x^2)/(d+e*x)^(3/2)
--E 454
--S 455 of 1125
--r0:=-2/3*(8*B*c*d-b*B*e-6*A*c*e)*(b+c*x)*elliptic_e(asin(sqrt(e)*_
--     sqrt(x)/sqrt(-d)),c*d/(b*e))*sqrt(-d)*sqrt(x)*sqrt((d+e*x)/d)/_
--     (c*e^(5/2)*sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))-_
--     2/3*(-b)^(3/2)*(4*B*c*d-b*B*e-3*A*c*e)*elliptic_f(asin(sqrt(c)*_
--     sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*sqrt((b+c*x)/b)*sqrt((d+_
--     e*x)/d)/(c^(3/2)*e^2*sqrt(d+e*x)*sqrt(b*x+c*x^2))+2/3*(4*B*d-_
--     3*A*e+B*e*x)*sqrt(b*x+c*x^2)/(e^2*sqrt(d+e*x))
--E 455
--S 456 of 1125
d0:=D(m0,x)
--E 456
)clear all
--S 457 of 1125
t0:=(A+B*x)*sqrt(b*x+c*x^2)/(d+e*x)^(5/2)
--E 457
--S 458 of 1125
--r0:=-2/3*(B*d*(8*c*d-7*b*e)-A*e*(2*c*d-b*e))*(b+c*x)*_
--     elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),c*d/(b*e))*sqrt(x)*_

--     sqrt((d+e*x)/d)/(e^(5/2)*(c*d-b*e)*sqrt(-d)*sqrt((b+c*x)/b)*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2))+2/3*(-b)^(3/2)*(4*B*d-A*e)*_
--     elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*_
--     sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/(d*e^2*sqrt(c)*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2))+2/3*(4*B*d-A*e+3*B*e*x)*sqrt(b*x+c*x^2)/(e^2*_
--     (d+e*x)^(3/2))-2/3*(B*d*(8*c*d-7*b*e)-A*e*(2*c*d-b*e))*_
--     sqrt(b*x+c*x^2)/(d*e^2*(c*d-b*e)*sqrt(d+e*x))
--E 458
--S 459 of 1125
d0:=D(m0,x)
--E 459
)clear all
--S 460 of 1125
t0:=(A+B*x)*sqrt(b*x+c*x^2)/(d+e*x)^(7/2)
--E 460
--S 461 of 1125
--r0:=-2/15*(2*A*e*(c^2*d^2-b*c*d*e+b^2*e^2)+B*d*(8*c^2*d^2-13*b*c*d*e+_
--     3*b^2*e^2))*(b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),_
--     c*d/(b*e))*sqrt(x)*sqrt((d+e*x)/d)/((-d)^(3/2)*e^(5/2)*(c*d-b*e)^2*_
--     sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))-2/15*(-b)^(3/2)*(B*d*_
--     (4*c*d-3*b*e)+A*e*(c*d-2*b*e))*elliptic_f(asin(sqrt(c)*sqrt(x)/_
--     sqrt(-b)),b*e/(c*d))*sqrt(x)*sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/(d^2*_
--     e^2*(c*d-b*e)*sqrt(c)*sqrt(d+e*x)*sqrt(b*x+c*x^2))+2/15*(B*d*(8*c*d-_
--     9*b*e)+A*e*(2*c*d-b*e))*sqrt(b*x+c*x^2)/(d*e^2*(c*d-b*e)*(d+_
--     e*x)^(3/2))-2/5*(4*B*d+A*e+5*B*e*x)*sqrt(b*x+c*x^2)/(e^2*(d+_
--     e*x)^(5/2))+2/15*(2*A*e*(c^2*d^2-b*c*d*e+b^2*e^2)+B*d*(8*c^2*d^2-_
--     13*b*c*d*e+3*b^2*e^2))*sqrt(b*x+c*x^2)/(d^2*e^2*(c*d-b*e)^2*sqrt(d+e*x))
--E 461
--S 462 of 1125
d0:=D(m0,x)
--E 462
)clear all
--S 463 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(3/2)/(d+e*x)^(1/2)
--E 463
--S 464 of 1125
--r0:=-2/63*(8*B*c*d-3*b*B*e-9*A*c*e-7*B*c*e*x)*(b*x+c*x^2)^(3/2)*_
--     sqrt(d+e*x)/(c*e^2)-2/315*(18*A*c*e*(8*c^3*d^3-12*b*c^2*d^2*e+_
--     2*b^2*c*d*e^2+b^3*e^3)-B*(128*c^4*d^4-184*b*c^3*d^3*e+27*_
--     b^2*c^2*d^2*e^2+11*b^3*c*d*e^3+8*b^4*e^4))*(b+c*x)*_
--     elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),c*d/(b*e))*sqrt(-d)*_
--     sqrt(x)*sqrt((d+e*x)/d)/(c^3*e^(9/2)*sqrt((b+c*x)/b)*sqrt(d+e*x)*_

--     sqrt(b*x+c*x^2))-2/315*(-b)^(3/2)*(c*d-b*e)*(9*A*c*e*(8*c^2*d^2-_
--     5*b*c*d*e-2*b^2*e^2)-B*(64*c^3*d^3-36*b*c^2*d^2*e-15*b^2*c*d*e^2-_
--     8*b^3*e^3))*elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*_
--     sqrt(x)*sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/(c^(7/2)*e^4*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2))+2/315*(9*A*c*e*(8*c^2*d^2-11*b*c*d*e+b^2*e^2)-_
--     2*B*(32*c^3*d^3-42*b*c^2*d^2*e+3*b^2*c*d*e^2+2*b^3*e^3)-3*c*e*_
--     (9*A*c*e*(2*c*d-b*e)-B*(16*c^2*d^2-7*b*c*d*e-4*b^2*e^2))*x)*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2)/(c^2*e^4)
--E 464
--S 465 of 1125
d0:=D(m0,x)
--E 465
)clear all
--S 466 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(3/2)/(d+e*x)^(3/2)
--E 466
--S 467 of 1125
--r0:=2/7*(8*B*d-7*A*e+B*e*x)*(b*x+c*x^2)^(3/2)/(e^2*sqrt(d+e*x))+2/35*_
--     (5*b*c*e*(8*B*d-7*A*e)*(2*c*d-b*e)-(16*B*c*d-b*B*e-14*A*c*e)*_
--     (8*c^2*d^2-3*b*c*d*e-2*b^2*e^2))*(b+c*x)*elliptic_e(asin(sqrt(e)*_
--     sqrt(x)/sqrt(-d)),c*d/(b*e))*sqrt(-d)*sqrt(x)*sqrt((d+e*x)/d)/_
--     (c^2*e^(9/2)*sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))+2/35*_
--     (-b)^(3/2)*(c*d-b*e)*(7*A*c*e*(8*c*d-b*e)-2*B*(32*c^2*d^2-6*b*c*d*e-_
--     b^2*e^2))*elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*_
--     sqrt(x)*sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/(c^(5/2)*e^4*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2))-2/35*(7*A*c*e*(8*c*d-7*b*e)-B*(64*c^2*d^2-60*b*c*_
--     d*e+b^2*e^2)+3*c*e*(16*B*c*d-b*B*e-14*A*c*e)*x)*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2)/(c*e^4)
--E 467
--S 468 of 1125
d0:=D(m0,x)
--E 468
)clear all
--S 469 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(3/2)/(d+e*x)^(5/2)
--E 469
--S 470 of 1125
--r0:=2/15*(8*B*d-5*A*e+3*B*e*x)*(b*x+c*x^2)^(3/2)/(e^2*(d+e*x)^(3/2))-_
--     2/15*(40*A*c*e*(2*c*d-b*e)-B*(128*c^2*d^2-88*b*c*d*e+3*b^2*e^2))*_
--     (b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),c*d/(b*e))*_
--     sqrt(-d)*sqrt(x)*sqrt((d+e*x)/d)/(c*e^(9/2)*sqrt((b+c*x)/b)*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2))-2/15*(-b)^(3/2)*(5*A*c*e*(8*c*d-5*b*e)-_

--     B*(64*c^2*d^2-52*b*c*d*e+3*b^2*e^2))*elliptic_f(asin(sqrt(c)*_
--     sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*sqrt((b+c*x)/b)*_
--     sqrt((d+e*x)/d)/(c^(3/2)*e^4*sqrt(d+e*x)*sqrt(b*x+c*x^2))-_
--     2/15*(4*B*d*(16*c*d-9*b*e)-5*A*e*(8*c*d-3*b*e)+e*(16*B*c*d-_
--     3*b*B*e-10*A*c*e)*x)*sqrt(b*x+c*x^2)/(e^4*sqrt(d+e*x))
--E 470
--S 471 of 1125
d0:=D(m0,x)
--E 471
)clear all
--S 472 of 1125
t0:=(A+B*x)*(b*x+c*x^2)^(3/2)/(d+e*x)^(7/2)
--E 472
--S 473 of 1125
--r0:=2/15*(8*B*d-3*A*e+5*B*e*x)*(b*x+c*x^2)^(3/2)/(e^2*(d+e*x)^(5/2))-_
--     2/15*(3*A*e*(16*c^2*d^2-16*b*c*d*e+b^2*e^2)-B*d*(128*c^2*d^2-_
--     168*b*c*d*e+43*b^2*e^2))*(b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/_
--     sqrt(-d)),c*d/(b*e))*sqrt(x)*sqrt((d+e*x)/d)/(e^(9/2)*(c*d-b*e)*_
--     sqrt(-d)*sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))-_
--     2/15*(-b)^(3/2)*(4*B*d*(16*c*d-7*b*e)-3*A*e*(8*c*d-b*e))*_
--     elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*_
--     sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/(d*e^4*sqrt(c)*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2))-2/15*(4*B*d*(16*c*d-7*b*e)-3*A*e*(8*c*d-b*e)+_
--     3*e*(16*B*c*d-5*b*B*e-6*A*c*e)*x)*sqrt(b*x+c*x^2)/(e^4*_
--     (d+e*x)^(3/2))-2/15*(3*A*e*(16*c^2*d^2-16*b*c*d*e+b^2*e^2)-B*d*_
--     (128*c^2*d^2-168*b*c*d*e+43*b^2*e^2))*sqrt(b*x+c*x^2)/(d*e^4*_
--     (c*d-b*e)*sqrt(d+e*x))
--E 473
--S 474 of 1125
d0:=D(m0,x)
--E 474
)clear all
--S 475 of 1125
t0:=(A+B*x)*(d+e*x)^(5/2)/sqrt(b*x+c*x^2)
--E 475
--S 476 of 1125
--r0:=2/105*(7*A*c*e*(23*c^2*d^2-23*b*c*d*e+8*b^2*e^2)+B*(15*c^3*d^3-_
--     103*b*c^2*d^2*e+128*b^2*c*d*e^2-48*b^3*e^3))*(b+c*x)*_
--     elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),c*d/(b*e))*sqrt(-d)*_
--     sqrt(x)*sqrt((d+e*x)/d)/(c^4*sqrt(e)*sqrt((b+c*x)/b)*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2))+2/105*(c*d-b*e)*(105*A*c^3*d^2-48*b^3*B*e^2+_
--     8*b^2*c*e*(13*B*d+7*A*e)-b*c^2*d*(60*B*d+133*A*e))*_

--     elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(-b)*_
--     sqrt(x)*sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/(c^(9/2)*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2))+2/35*(5*B*c*d-6*b*B*e+7*A*c*e)*(d+e*x)^(3/2)*_
--     sqrt(b*x+c*x^2)/c^2+2/7*B*(d+e*x)^(5/2)*sqrt(b*x+c*x^2)/c+2/105*_
--     (28*A*c*e*(2*c*d-b*e)+B*(15*c^2*d^2-43*b*c*d*e+24*b^2*e^2))*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2)/c^3
--E 476
--S 477 of 1125
d0:=D(m0,x)
--E 477
)clear all
--S 478 of 1125
t0:=(A+B*x)*(d+e*x)^(3/2)/sqrt(b*x+c*x^2)
--E 478
--S 479 of 1125
--r0:=2/15*(10*A*c*e*(2*c*d-b*e)+B*(3*c^2*d^2-13*b*c*d*e+8*b^2*e^2))*_
--     (b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),c*d/(b*e))*_
--     sqrt(-d)*sqrt(x)*sqrt((d+e*x)/d)/(c^3*sqrt(e)*sqrt((b+c*x)/b)*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2))-2/15*(c*d-b*e)*(9*b*B*c*d-15*A*c^2*d-_
--     8*b^2*B*e+10*A*b*c*e)*elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),_
--     b*e/(c*d))*sqrt(-b)*sqrt(x)*sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/_
--     (c^(7/2)*sqrt(d+e*x)*sqrt(b*x+c*x^2))+2/5*B*(d+e*x)^(3/2)*_
--     sqrt(b*x+c*x^2)/c+2/15*(3*B*c*d-4*b*B*e+5*A*c*e)*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2)/c^2
--E 479
--S 480 of 1125
d0:=D(m0,x)
--E 480
)clear all
--S 481 of 1125
t0:=(A+B*x)*sqrt(d+e*x)/sqrt(b*x+c*x^2)
--E 481
--S 482 of 1125
--r0:=2/3*(B*c*d-2*b*B*e+3*A*c*e)*(b+c*x)*elliptic_e(asin(sqrt(e)*_
--     sqrt(x)/sqrt(-d)),c*d/(b*e))*sqrt(-d)*sqrt(x)*sqrt((d+e*x)/d)/(c^2*_
--     sqrt(e)*sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))-2/3*(2*b*B-_
--     3*A*c)*(c*d-b*e)*elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),_
--     b*e/(c*d))*sqrt(-b)*sqrt(x)*sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/_
--     (c^(5/2)*sqrt(d+e*x)*sqrt(b*x+c*x^2))+2/3*B*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2)/c
--E 482

)clear all
--S 484 of 1125
t0:=(A+B*x)/(sqrt(d+e*x)*sqrt(b*x+c*x^2))
--E 484
--S 485 of 1125
--r0:=2*B*(b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),c*d/(b*e))*_
--     sqrt(-d)*sqrt(x)*sqrt((d+e*x)/d)/(c*sqrt(e)*sqrt((b+c*x)/b)*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2))-2*(b*B-A*c)*elliptic_f(asin(sqrt(c)*_
--     sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(-b)*sqrt(x)*sqrt((b+c*x)/b)*_
--     sqrt((d+e*x)/d)/(c^(3/2)*sqrt(d+e*x)*sqrt(b*x+c*x^2))
--E 485
--S 486 of 1125
d0:=D(m0,x)
--E 486
)clear all
--S 487 of 1125
t0:=(A+B*x)/((d+e*x)^(3/2)*sqrt(b*x+c*x^2))
--E 487
--S 488 of 1125
--r0:=2*(B*d-A*e)*(b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),_
--     c*d/(b*e))*sqrt(x)*sqrt((d+e*x)/d)/((c*d-b*e)*sqrt(-d)*sqrt(e)*_
--     sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))+2*A*_
--     elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(-b)*_
--     sqrt(x)*sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/(d*sqrt(c)*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2))+2*(B*d-A*e)*sqrt(b*x+c*x^2)/(d*(c*d-b*e)*sqrt(d+e*x))
--E 488
--S 489 of 1125
d0:=D(m0,x)
--E 489
)clear all
--S 490 of 1125
t0:=(A+B*x)/((d+e*x)^(5/2)*sqrt(b*x+c*x^2))
--E 490
--S 491 of 1125
--r0:=2/3*(2*A*e*(2*c*d-b*e)-B*d*(c*d+b*e))*(b+c*x)*elliptic_e(asin(_
--     sqrt(e)*sqrt(x)/sqrt(-d)),c*d/(b*e))*sqrt(x)*sqrt((d+e*x)/d)/_

--     ((-d)^(3/2)*(c*d-b*e)^2*sqrt(e)*sqrt((b+c*x)/b)*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2))-2/3*(b*B*d-3*A*c*d+2*A*b*e)*elliptic_f(asin(_
--     sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(-b)*sqrt(x)*_
--     sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/(d^2*(c*d-b*e)*sqrt(c)*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2))+2/3*(B*d-A*e)*sqrt(b*x+c*x^2)/(d*(c*d-b*e)*_
--     (d+e*x)^(3/2))-2/3*(2*A*e*(2*c*d-b*e)-B*d*(c*d+b*e))*sqrt(b*x+_
--     c*x^2)/(d^2*(c*d-b*e)^2*sqrt(d+e*x))
--E 491
--S 492 of 1125
d0:=D(m0,x)
--E 492
)clear all
--S 493 of 1125
t0:=(A+B*x)/((d+e*x)^(7/2)*sqrt(b*x+c*x^2))
--E 493
--S 494 of 1125
--r0:=2/15*(B*d*(3*c^2*d^2+7*b*c*d*e-2*b^2*e^2)-A*e*(23*c^2*d^2-_
--     23*b*c*d*e+8*b^2*e^2))*(b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/_
--     sqrt(-d)),c*d/(b*e))*sqrt(x)*sqrt((d+e*x)/d)/((-d)^(5/2)*_
--     (c*d-b*e)^3*sqrt(e)*sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))+_
--     2/15*(15*A*c^2*d^2+2*b^2*e*(B*d+4*A*e)-b*c*d*(6*B*d+19*A*e))*_
--     elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(-b)*_
--     sqrt(x)*sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/(d^3*(c*d-b*e)^2*sqrt(c)*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2))+2/5*(B*d-A*e)*sqrt(b*x+c*x^2)/_
--     (d*(c*d-b*e)*(d+e*x)^(5/2))-2/15*(4*A*e*(2*c*d-b*e)-B*d*(3*c*d+_
--     b*e))*sqrt(b*x+c*x^2)/(d^2*(c*d-b*e)^2*(d+e*x)^(3/2))+2/15*(B*d*_
--     (3*c^2*d^2+7*b*c*d*e-2*b^2*e^2)-A*e*(23*c^2*d^2-23*b*c*d*e+_
--     8*b^2*e^2))*sqrt(b*x+c*x^2)/(d^3*(c*d-b*e)^3*sqrt(d+e*x))
--E 494
--S 495 of 1125
d0:=D(m0,x)
--E 495
)clear all
--S 496 of 1125
t0:=(A+B*x)*(d+e*x)^(7/2)/(b*x+c*x^2)^(3/2)
--E 496
--S 497 of 1125
--r0:=-2*(A*b-(b*B-2*A*c)*x)*(d+e*x)^(7/2)/(b^2*sqrt(b*x+c*x^2))+_
--     2/15*(30*A*c^4*d^3+48*b^4*B*e^3-15*b*c^3*d^2*(B*d+3*A*e)-_
--     8*b^3*c*e^2*(16*B*d+5*A*e)+b^2*c^2*d*e*(103*B*d+95*A*e))*(b+c*x)*_
--     elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),c*d/(b*e))*sqrt(-d)*_
--     sqrt(e)*sqrt(x)*sqrt((d+e*x)/d)/(b^2*c^4*sqrt((b+c*x)/b)*_

--     sqrt(d+e*x)*sqrt(b*x+c*x^2))+2/15*e*(c*d-b*e)*(15*A*c^3*d^2-_
--     48*b^3*B*e^2-15*b*c^2*d*(4*B*d+5*A*e)+8*b^2*c*e*(13*B*d+5*A*e))*_
--     elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*_
--     sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/(c^(9/2)*sqrt(-b)*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2))+2/5*e*(10*A*c^2*d+6*b^2*B*e-5*b*c*(B*d+A*e))*_
--     (d+e*x)^(3/2)*sqrt(b*x+c*x^2)/(b^2*c^2)-2*(b*B-2*A*c)*e*_
--     (d+e*x)^(5/2)*sqrt(b*x+c*x^2)/(b^2*c)+2/15*e*(30*A*c^3*d^2-_
--     24*b^3*B*e^2-15*b*c^2*d*(B*d+2*A*e)+b^2*c*e*(43*B*d+20*A*e))*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2)/(b^2*c^3)
--E 497
--S 498 of 1125
d0:=D(m0,x)
--E 498
)clear all
--S 499 of 1125
t0:=(A+B*x)*(d+e*x)^(5/2)/(b*x+c*x^2)^(3/2)
--E 499
--S 500 of 1125
--r0:=-2*(A*b-(b*B-2*A*c)*x)*(d+e*x)^(5/2)/(b^2*sqrt(b*x+c*x^2))+_
--     2/3*(6*A*c^3*d^2-8*b^3*B*e^2-3*b*c^2*d*(B*d+2*A*e)+b^2*c*e*_
--     (13*B*d+6*A*e))*(b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),_
--     c*d/(b*e))*sqrt(-d)*sqrt(e)*sqrt(x)*sqrt((d+e*x)/d)/(b^2*c^3*_
--     sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))-2/3*e*(c*d-b*e)*_
--     (9*b*B*c*d-3*A*c^2*d-8*b^2*B*e+6*A*b*c*e)*elliptic_f(asin(sqrt(c)*_
--     sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*sqrt((b+c*x)/b)*_
--     sqrt((d+e*x)/d)/(c^(7/2)*sqrt(-b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))-_
--     2*(b*B-2*A*c)*e*(d+e*x)^(3/2)*sqrt(b*x+c*x^2)/(b^2*c)+2/3*e*_
--     (6*A*c^2*d+4*b^2*B*e-3*b*c*(B*d+A*e))*sqrt(d+e*x)*sqrt(b*x+c*x^2)/_
--     (b^2*c^2)
--E 500
--S 501 of 1125
d0:=D(m0,x)
--E 501
)clear all
--S 502 of 1125
t0:=(A+B*x)*(d+e*x)^(3/2)/(b*x+c*x^2)^(3/2)
--E 502
--S 503 of 1125
--r0:=-2*(A*b-(b*B-2*A*c)*x)*(d+e*x)^(3/2)/(b^2*sqrt(b*x+c*x^2))+_
--     2*(2*A*c^2*d+2*b^2*B*e-b*c*(B*d+A*e))*(b+c*x)*_
--     elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),c*d/(b*e))*sqrt(-d)*_
--     sqrt(e)*sqrt(x)*sqrt((d+e*x)/d)/(b^2*c^2*sqrt((b+c*x)/b)*_

--     sqrt(d+e*x)*sqrt(b*x+c*x^2))-2*(2*b*B-A*c)*e*(c*d-b*e)*_
--     elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*_
--     sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/(c^(5/2)*sqrt(-b)*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2))-2*(b*B-2*A*c)*e*sqrt(d+e*x)*sqrt(b*x+c*x^2)/(b^2*c)
--E 503
--S 504 of 1125
d0:=D(m0,x)
--E 504
)clear all
--S 505 of 1125
t0:=(A+B*x)*sqrt(d+e*x)/(b*x+c*x^2)^(3/2)
--E 505
--S 506 of 1125
--r0:=-2*(A*b-(b*B-2*A*c)*x)*sqrt(d+e*x)/(b^2*sqrt(b*x+c*x^2))-_
--     2*(b*B-2*A*c)*(b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),_
--     c*d/(b*e))*sqrt(-d)*sqrt(e)*sqrt(x)*sqrt((d+e*x)/d)/(b^2*c*_
--     sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))-2*(b*B-A*c)*e*_
--     elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*_
--     sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/(c^(3/2)*sqrt(-b)*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2))
--E 506
--S 507 of 1125
d0:=D(m0,x)
--E 507
)clear all
--S 508 of 1125
t0:=(A+B*x)/((b*x+c*x^2)^(3/2)*sqrt(d+e*x))
--E 508
--S 509 of 1125
--r0:=-2*(A*b*(c*d-b*e)+c*(2*A*c*d-b*(B*d+A*e))*x)*sqrt(d+e*x)/(b^2*d*_
--     (c*d-b*e)*sqrt(b*x+c*x^2))+2*(b*B*d-2*A*c*d+A*b*e)*(b+c*x)*_
--     elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),c*d/(b*e))*sqrt(e)*_
--     sqrt(x)*sqrt((d+e*x)/d)/(b^2*(c*d-b*e)*sqrt(-d)*sqrt((b+c*x)/b)*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2))+2*A*e*elliptic_f(asin(sqrt(c)*_
--     sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*sqrt((b+c*x)/b)*_
--     sqrt((d+e*x)/d)/(d*sqrt(-b)*sqrt(c)*sqrt(d+e*x)*sqrt(b*x+c*x^2))
--E 509
--S 510 of 1125
d0:=D(m0,x)
--E 510

--S 511 of 1125
t0:=(A+B*x)/((d+e*x)^(3/2)*(b*x+c*x^2)^(3/2))
--E 511
--S 512 of 1125
--r0:=-2*(A*b*(c*d-b*e)+c*(2*A*c*d-b*(B*d+A*e))*x)/(b^2*d*(c*d-b*e)*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2))+2*(2*A*c^2*d^2-b^2*e*(B*d-2*A*e)-_
--     b*c*d*(B*d+2*A*e))*(b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/_
--     sqrt(-d)),c*d/(b*e))*sqrt(e)*sqrt(x)*sqrt((d+e*x)/d)/_
--     (b^2*(-d)^(3/2)*(c*d-b*e)^2*sqrt((b+c*x)/b)*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2))+2*e*(b*B*d+A*c*d-2*A*b*e)*elliptic_f(asin(sqrt(c)*_
--     sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*sqrt((b+c*x)/b)*_
--     sqrt((d+e*x)/d)/(d^2*(c*d-b*e)*sqrt(-b)*sqrt(c)*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2))-2*e*(2*A*c^2*d^2-b^2*e*(B*d-2*A*e)-b*c*d*(B*d+_
--     2*A*e))*sqrt(b*x+c*x^2)/(b^2*d^2*(c*d-b*e)^2*sqrt(d+e*x))
--E 512
--S 513 of 1125
d0:=D(m0,x)
--E 513
)clear all
--S 514 of 1125
t0:=(A+B*x)/((d+e*x)^(5/2)*(b*x+c*x^2)^(3/2))
--E 514
--S 515 of 1125
--r0:=-2*(A*b*(c*d-b*e)+c*(2*A*c*d-b*(B*d+A*e))*x)/(b^2*d*(c*d-b*e)*_
--     (d+e*x)^(3/2)*sqrt(b*x+c*x^2))-2/3*(6*A*c^3*d^3-b^2*c*d*e*(7*B*d-_
--     19*A*e)+2*b^3*e^2*(B*d-4*A*e)-3*b*c^2*d^2*(B*d+3*A*e))*(b+c*x)*_
--     elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),c*d/(b*e))*sqrt(e)*_
--     sqrt(x)*sqrt((d+e*x)/d)/(b^2*(-d)^(5/2)*(c*d-b*e)^3*sqrt((b+c*x)/b)*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2))+2/3*e*(3*A*c^2*d^2+3*b*c*d*(2*B*d-_
--     5*A*e)-2*b^2*e*(B*d-4*A*e))*elliptic_f(asin(sqrt(c)*sqrt(x)/_
--     sqrt(-b)),b*e/(c*d))*sqrt(x)*sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/_
--     (d^3*(c*d-b*e)^2*sqrt(-b)*sqrt(c)*sqrt(d+e*x)*sqrt(b*x+c*x^2))-_
--     2/3*e*(6*A*c^2*d^2-b^2*e*(B*d-4*A*e)-3*b*c*d*(B*d+2*A*e))*_
--     sqrt(b*x+c*x^2)/(b^2*d^2*(c*d-b*e)^2*(d+e*x)^(3/2))-_
--     2/3*e*(6*A*c^3*d^3-b^2*c*d*e*(7*B*d-19*A*e)+2*b^3*e^2*(B*d-4*A*e)-_
--     3*b*c^2*d^2*(B*d+3*A*e))*sqrt(b*x+c*x^2)/(b^2*d^3*(c*d-b*e)^3*_
--     sqrt(d+e*x))
--E 515
--S 516 of 1125
d0:=D(m0,x)
--E 516

--S 517 of 1125
t0:=(A+B*x)*(d+e*x)^(7/2)/(b*x+c*x^2)^(5/2)
--E 517
--S 518 of 1125
--r0:=-2/3*(A*b-(b*B-2*A*c)*x)*(d+e*x)^(7/2)/(b^2*(b*x+c*x^2)^(3/2))-_
--     2/3*(d+e*x)^(5/2)*(b*(4*b*B*d-8*A*c*d+7*A*b*e)-(16*A*c^2*d-_
--     3*b^2*B*e-8*b*c*(B*d+A*e))*x)/(b^4*sqrt(b*x+c*x^2))-2/3*_
--     (16*A*c^4*d^3-8*b^4*B*e^3+b^3*c*e^2*(5*B*d+2*A*e)-8*b*c^3*d^2*_
--     (B*d+3*A*e)+b^2*c^2*d*e*(5*B*d+4*A*e))*(b+c*x)*elliptic_e(asin(_
--     sqrt(e)*sqrt(x)/sqrt(-d)),c*d/(b*e))*sqrt(-d)*sqrt(e)*sqrt(x)*_
--     sqrt((d+e*x)/d)/(b^4*c^3*sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+_
--     c*x^2))-2/3*e*(c*d-b*e)*(8*A*c^3*d^2+8*b^3*B*e^2-b^2*c*e*(B*d+_
--     2*A*e)-b*c^2*d*(4*B*d+5*A*e))*elliptic_f(asin(sqrt(c)*sqrt(x)/_
--     sqrt(-b)),b*e/(c*d))*sqrt(x)*sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/_
--     ((-b)^(5/2)*c^(7/2)*sqrt(d+e*x)*sqrt(b*x+c*x^2))-2/3*e*_
--     (16*A*c^2*d-3*b^2*B*e-8*b*c*(B*d+A*e))*(d+e*x)^(3/2)*_
--     sqrt(b*x+c*x^2)/(b^4*c)-2/3*e*(16*A*c^3*d^2+4*b^3*B*e^2+b^2*c*e*_
--     (B*d-A*e)-8*b*c^2*d*(B*d+2*A*e))*sqrt(d+e*x)*sqrt(b*x+c*x^2)/(b^4*c^2)
--E 518
--S 519 of 1125
d0:=D(m0,x)
--E 519
)clear all
--S 520 of 1125
t0:=(A+B*x)*(d+e*x)^(5/2)/(b*x+c*x^2)^(5/2)
--E 520
--S 521 of 1125
--r0:=-2/3*(A*b-(b*B-2*A*c)*x)*(d+e*x)^(5/2)/(b^2*(b*x+c*x^2)^(3/2))-_
--     2/3*(d+e*x)^(3/2)*(b*(4*b*B*d-8*A*c*d+5*A*b*e)-(16*A*c^2*d-_
--     b^2*B*e-8*b*c*(B*d+A*e))*x)/(b^4*sqrt(b*x+c*x^2))-2/3*_
--     (16*A*c^3*d^2+2*b^3*B*e^2+b^2*c*e*(3*B*d+A*e)-8*b*c^2*d*(B*d+_
--     2*A*e))*(b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),c*d/_
--     (b*e))*sqrt(-d)*sqrt(e)*sqrt(x)*sqrt((d+e*x)/d)/(b^4*c^2*_
--     sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))-2/3*e*(c*d-b*e)*_
--     (8*A*c^2*d-2*b^2*B*e-b*c*(4*B*d+A*e))*elliptic_f(asin(sqrt(c)*_
--     sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*sqrt((b+c*x)/b)*_
--     sqrt((d+e*x)/d)/((-b)^(5/2)*c^(5/2)*sqrt(d+e*x)*sqrt(b*x+c*x^2))-_
--     2/3*e*(16*A*c^2*d-b^2*B*e-8*b*c*(B*d+A*e))*sqrt(d+e*x)*_
--     sqrt(b*x+c*x^2)/(b^4*c)
--E 521
--S 522 of 1125
d0:=D(m0,x)

--E 522
)clear all
--S 523 of 1125
t0:=(A+B*x)*(d+e*x)^(3/2)/(b*x+c*x^2)^(5/2)
--E 523
--S 524 of 1125
--r0:=-2/3*(A*b-(b*B-2*A*c)*x)*(d+e*x)^(3/2)/(b^2*(b*x+c*x^2)^(3/2))-_
--     2/3*(b*(4*b*B*d-8*A*c*d+3*A*b*e)-(16*A*c^2*d+b^2*B*e-8*b*c*_
--     (B*d+A*e))*x)*sqrt(d+e*x)/(b^4*sqrt(b*x+c*x^2))-2/3*(16*A*c^2*d+_
--     b^2*B*e-8*b*c*(B*d+A*e))*(b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/_
--     sqrt(-d)),c*d/(b*e))*sqrt(-d)*sqrt(e)*sqrt(x)*sqrt((d+e*x)/d)/_
--     (b^4*c*sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))+2/3*e*_
--     (4*b*B*c*d-8*A*c^2*d-b^2*B*e+5*A*b*c*e)*elliptic_f(asin(sqrt(c)*_
--     sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*sqrt((b+c*x)/b)*_
--     sqrt((d+e*x)/d)/((-b)^(5/2)*c^(3/2)*sqrt(d+e*x)*sqrt(b*x+c*x^2))
--E 524
--S 525 of 1125
d0:=D(m0,x)
--E 525
)clear all
--S 526 of 1125
t0:=(A+B*x)*sqrt(d+e*x)/(b*x+c*x^2)^(5/2)
--E 526
--S 527 of 1125
--r0:=-2/3*(A*b-(b*B-2*A*c)*x)*sqrt(d+e*x)/(b^2*(b*x+c*x^2)^(3/2))-_
--     2/3*(b*(c*d-b*e)*(4*b*B*d-8*A*c*d+A*b*e)-c*(16*A*c^2*d^2+b^2*e*_
--     (7*B*d+A*e)-8*b*c*d*(B*d+2*A*e))*x)*sqrt(d+e*x)/(b^4*d*(c*d-b*e)*_
--     sqrt(b*x+c*x^2))+2/3*(16*A*c^2*d^2+b^2*e*(7*B*d+A*e)-8*b*c*d*_
--     (B*d+2*A*e))*(b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),_
--     c*d/(b*e))*sqrt(e)*sqrt(x)*sqrt((d+e*x)/d)/(b^4*(c*d-b*e)*sqrt(-d)*_
--     sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))+2/3*e*(4*b*B*d-_
--     8*A*c*d+A*b*e)*elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*_
--     sqrt(x)*sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/((-b)^(5/2)*d*sqrt(c)*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2))
--E 527
--S 528 of 1125
d0:=D(m0,x)
--E 528
)clear all
--S 529 of 1125

t0:=(A+B*x)/((b*x+c*x^2)^(5/2)*sqrt(d+e*x))
--E 529
--S 530 of 1125
--r0:=-2/3*(A*b*(c*d-b*e)+c*(2*A*c*d-b*(B*d+A*e))*x)*sqrt(d+e*x)/_
--     (b^2*d*(c*d-b*e)*(b*x+c*x^2)^(3/2))+2/3*(b*(c*d-b*e)*(8*A*c^2*d^2+_
--     b^2*e*(3*B*d-2*A*e)-b*c*d*(4*B*d+5*A*e))+c*(16*A*c^3*d^3-b^3*e^2*_
--     (3*B*d-2*A*e)-8*b*c^2*d^2*(B*d+3*A*e)+b^2*c*d*e*(13*B*d+4*A*e))*x)*_
--     sqrt(d+e*x)/(b^4*d^2*(c*d-b*e)^2*sqrt(b*x+c*x^2))-2/3*_
--     (16*A*c^3*d^3-b^3*e^2*(3*B*d-2*A*e)-8*b*c^2*d^2*(B*d+3*A*e)+_
--     b^2*c*d*e*(13*B*d+4*A*e))*(b+c*x)*elliptic_e(asin(sqrt(e)*sqrt(x)/_
--     sqrt(-d)),c*d/(b*e))*sqrt(e)*sqrt(x)*sqrt((d+e*x)/d)/(b^4*(-d)^(3/2)*_
--     (c*d-b*e)^2*sqrt((b+c*x)/b)*sqrt(d+e*x)*sqrt(b*x+c*x^2))-2/3*e*_
--     (8*A*c^2*d^2+b^2*e*(3*B*d-2*A*e)-b*c*d*(4*B*d+5*A*e))*_
--     elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*_
--     sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/((-b)^(5/2)*d^2*(c*d-b*e)*sqrt(c)*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2))
--E 530
--S 531 of 1125
d0:=D(m0,x)
--E 531
)clear all
--S 532 of 1125
t0:=(A+B*x)/((d+e*x)^(3/2)*(b*x+c*x^2)^(5/2))
--E 532
--S 533 of 1125
--r0:=-2/3*(A*b*(c*d-b*e)+c*(2*A*c*d-b*(B*d+A*e))*x)/(b^2*d*(c*d-b*e)*_
--     (b*x+c*x^2)^(3/2)*sqrt(d+e*x))+2/3*(b*(c*d-b*e)*(8*A*c^2*d^2+b^2*_
--     e*(3*B*d-4*A*e)-b*c*d*(4*B*d+3*A*e))+c*(16*A*c^3*d^3+15*b^2*B*_
--     c*d^2*e-b^3*e^2*(3*B*d-4*A*e)-8*b*c^2*d^2*(B*d+3*A*e))*x)/_
--     (b^4*d^2*(c*d-b*e)^2*sqrt(d+e*x)*sqrt(b*x+c*x^2))+2/3*_
--     (16*A*c^4*d^4-b^3*c*d*e^2*(9*B*d-7*A*e)-8*b*c^3*d^3*(B*d+4*A*e)+_
--     b^2*c^2*d^2*e*(19*B*d+9*A*e)+b^4*(6*B*d*e^3-8*A*e^4))*(b+c*x)*_
--     elliptic_e(asin(sqrt(e)*sqrt(x)/sqrt(-d)),c*d/(b*e))*sqrt(e)*_
--     sqrt(x)*sqrt((d+e*x)/d)/(b^4*(-d)^(5/2)*(c*d-b*e)^3*sqrt((b+c*x)/b)*_
--     sqrt(d+e*x)*sqrt(b*x+c*x^2))-2/3*e*(8*A*c^3*d^3+3*b^2*c*d*e*_
--     (2*B*d-A*e)-b*c^2*d^2*(4*B*d+9*A*e)-b^3*(6*B*d*e^2-8*A*e^3))*_
--     elliptic_f(asin(sqrt(c)*sqrt(x)/sqrt(-b)),b*e/(c*d))*sqrt(x)*_
--     sqrt((b+c*x)/b)*sqrt((d+e*x)/d)/((-b)^(5/2)*d^3*(c*d-b*e)^2*_
--     sqrt(c)*sqrt(d+e*x)*sqrt(b*x+c*x^2))+2/3*e*(16*A*c^4*d^4-_
--     b^3*c*d*e^2*(9*B*d-7*A*e)-8*b*c^3*d^3*(B*d+4*A*e)+b^2*c^2*d^2*_
--     e*(19*B*d+9*A*e)+b^4*(6*B*d*e^3-8*A*e^4))*sqrt(b*x+c*x^2)/_
--     (b^4*d^3*(c*d-b*e)^3*sqrt(d+e*x))
--E 533
--S 534 of 1125

d0:=D(m0,x)
--E 534
)clear all
--S 535 of 1125
t0:=(A+B*x)*(d+e*x)^m*(a+c*x^2)
--E 535
--S 536 of 1125
r0:=-(B*d-A*e)*(c*d^2+a*e^2)*(d+e*x)^(1+m)/(e^4*(1+m))+(3*B*c*d^2-2*A*_
     c*d*e+a*B*e^2)*(d+e*x)^(2+m)/(e^4*(2+m))-c*(3*B*d-A*e)*_
     (d+e*x)^(3+m)/(e^4*(3+m))+B*c*(d+e*x)^(4+m)/(e^4*(4+m))
--E 536
--S 537 of 1125
d0:=normalize(D(m0,x))
--E 537
)clear all
--S 538 of 1125
t0:=(A+B*x)*(d+e*x)^5*(a+c*x^2)
--E 538
--S 539 of 1125
r0:=-1/6*(B*d-A*e)*(c*d^2+a*e^2)*(d+e*x)^6/e^4+1/7*(3*B*c*d^2-2*A*c*d*e+_
     a*B*e^2)*(d+e*x)^7/e^4-1/8*c*(3*B*d-A*e)*(d+e*x)^8/e^4+1/9*B*_
     c*(d+e*x)^9/e^4
--E 539
--S 540 of 1125
d0:=D(m0,x)
--E 540
)clear all
--S 541 of 1125
t0:=(A+B*x)*(d+e*x)^4*(a+c*x^2)
--E 541
--S 542 of 1125
r0:=-1/5*(B*d-A*e)*(c*d^2+a*e^2)*(d+e*x)^5/e^4+1/6*(3*B*c*d^2-2*A*c*d*e+_
     a*B*e^2)*(d+e*x)^6/e^4-1/7*c*(3*B*d-A*e)*(d+e*x)^7/e^4+1/8*B*c*_
     (d+e*x)^8/e^4
--E 542
--S 543 of 1125
d0:=D(m0,x)
--E 543

--S 544 of 1125
t0:=(A+B*x)*(d+e*x)^3*(a+c*x^2)
--E 544
--S 545 of 1125
r0:=-1/4*(B*d-A*e)*(c*d^2+a*e^2)*(d+e*x)^4/e^4+1/5*(3*B*c*d^2-2*A*c*d*e+_
     a*B*e^2)*(d+e*x)^5/e^4-1/6*c*(3*B*d-A*e)*(d+e*x)^6/e^4+_
     1/7*B*c*(d+e*x)^7/e^4
--E 545
--S 546 of 1125
d0:=D(m0,x)
--E 546
)clear all
--S 547 of 1125
t0:=(A+B*x)*(d+e*x)^2*(a+c*x^2)
--E 547
--S 548 of 1125
r0:=a*A*d^2*x+1/2*a*d*(B*d+2*A*e)*x^2+1/3*(A*c*d^2+2*a*B*d*e+a*A*e^2)*x^3+_
     1/4*(B*c*d^2+2*A*c*d*e+a*B*e^2)*x^4+1/5*c*e*(2*B*d+A*e)*x^5+_
     1/6*B*c*e^2*x^6
--E 548
--S 549 of 1125
d0:=D(m0,x)
--E 549
)clear all
--S 550 of 1125
t0:=(A+B*x)*(d+e*x)*(a+c*x^2)
--E 550
--S 551 of 1125
r0:=a*A*d*x+1/2*a*(B*d+A*e)*x^2+1/3*(A*c*d+a*B*e)*x^3+1/4*c*(B*d+A*e)*x^4+_
     1/5*B*c*e*x^5
--E 551
--S 552 of 1125
d0:=D(m0,x)
--E 552
)clear all

--S 553 of 1125
t0:=(A+B*x)*(a+c*x^2)
--E 553
--S 554 of 1125
r0:=a*A*x+1/2*a*B*x^2+1/3*A*c*x^3+1/4*B*c*x^4
--E 554
--S 555 of 1125
d0:=D(m0,x)
--E 555
)clear all
--S 556 of 1125
t0:=(A+B*x)*(a+c*x^2)/(d+e*x)
--E 556
--S 557 of 1125
r0:=(B*c*d^2-A*c*d*e+a*B*e^2)*x/e^3-1/2*c*(B*d-A*e)*x^2/e^2+1/3*B*c*x^3/e-_
     (B*d-A*e)*(c*d^2+a*e^2)*log(d+e*x)/e^4
--E 557
--S 558 of 1125
d0:=D(m0,x)
--E 558
)clear all
--S 559 of 1125
t0:=(A+B*x)*(a+c*x^2)/(d+e*x)^2
--E 559
--S 560 of 1125
r0:=-c*(2*B*d-A*e)*x/e^3+1/2*B*c*x^2/e^2+(B*d-A*e)*(c*d^2+a*e^2)/_
     (e^4*(d+e*x))+(3*B*c*d^2-2*A*c*d*e+a*B*e^2)*log(d+e*x)/e^4
--E 560
--S 561 of 1125
d0:=D(m0,x)
--E 561
)clear all
--S 562 of 1125
t0:=(A+B*x)*(a+c*x^2)/(d+e*x)^3
--E 562
--S 563 of 1125
r0:=B*c*x/e^3+1/2*(B*d-A*e)*(c*d^2+a*e^2)/(e^4*(d+e*x)^2)+(-3*B*c*d^2+_

     2*A*c*d*e-a*B*e^2)/(e^4*(d+e*x))-c*(3*B*d-A*e)*log(d+e*x)/e^4
--E 563
--S 564 of 1125
d0:=D(m0,x)
--E 564
)clear all
--S 565 of 1125
t0:=(A+B*x)*(a+c*x^2)/(d+e*x)^4
--E 565
--S 566 of 1125
r0:=1/3*(B*d-A*e)*(c*d^2+a*e^2)/(e^4*(d+e*x)^3)+1/2*(-3*B*c*d^2+2*A*c*d*e-_
     a*B*e^2)/(e^4*(d+e*x)^2)+c*(3*B*d-A*e)/(e^4*(d+e*x))+B*c*log(d+e*x)/e^4
--E 566
--S 567 of 1125
d0:=D(m0,x)
--E 567
)clear all
--S 568 of 1125
t0:=(A+B*x)*(a+c*x^2)/(d+e*x)^5
--E 568
--S 569 of 1125
r0:=1/4*(B*d-A*e)*(c*d^2+a*e^2)/(e^4*(d+e*x)^4)+1/3*(-3*B*c*d^2+2*A*c*d*e-_
     a*B*e^2)/(e^4*(d+e*x)^3)+1/2*c*(3*B*d-A*e)/(e^4*(d+e*x)^2)-_
     B*c/(e^4*(d+e*x))
--E 569
--S 570 of 1125
d0:=D(m0,x)
--E 570
)clear all
--S 571 of 1125
t0:=(A+B*x)*(a+c*x^2)/(d+e*x)^6
--E 571
--S 572 of 1125
r0:=1/5*(B*d-A*e)*(c*d^2+a*e^2)/(e^4*(d+e*x)^5)+1/4*(-3*B*c*d^2+2*A*c*d*e-_
     a*B*e^2)/(e^4*(d+e*x)^4)+1/3*c*(3*B*d-A*e)/(e^4*(d+e*x)^3)-_
     1/2*B*c/(e^4*(d+e*x)^2)
--E 572

)clear all
--S 574 of 1125
t0:=(A+B*x)*(a+c*x^2)/(d+e*x)^7
--E 574
--S 575 of 1125
r0:=1/6*(B*d-A*e)*(c*d^2+a*e^2)/(e^4*(d+e*x)^6)+1/5*(-3*B*c*d^2+2*A*c*d*e-_
     a*B*e^2)/(e^4*(d+e*x)^5)+1/4*c*(3*B*d-A*e)/(e^4*(d+e*x)^4)-_
     1/3*B*c/(e^4*(d+e*x)^3)
--E 575
--S 576 of 1125
d0:=D(m0,x)
--E 576
)clear all
--S 577 of 1125
t0:=(A+B*x)*(d+e*x)^m*(a+c*x^2)^2
--E 577
--S 578 of 1125
r0:=-(B*d-A*e)*(c*d^2+a*e^2)^2*(d+e*x)^(1+m)/(e^6*(1+m))+(c*d^2+a*e^2)*_
     (5*B*c*d^2-4*A*c*d*e+a*B*e^2)*(d+e*x)^(2+m)/(e^6*(2+m))-2*c*_
     (5*B*c*d^3-3*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)*(d+e*x)^(3+m)/(e^6*_
     (3+m))+2*c*(5*B*c*d^2-2*A*c*d*e+a*B*e^2)*(d+e*x)^(4+m)/(e^6*(4+m))-_
     c^2*(5*B*d-A*e)*(d+e*x)^(5+m)/(e^6*(5+m))+B*c^2*(d+e*x)^(6+m)/(e^6*(6+m))
--E 578
--S 579 of 1125
d0:=normalize(D(m0,x))
--E 579
)clear all
--S 580 of 1125
t0:=(A+B*x)*(d+e*x)^5*(a+c*x^2)^2
--E 580
--S 581 of 1125
r0:=-1/6*(B*d-A*e)*(c*d^2+a*e^2)^2*(d+e*x)^6/e^6+1/7*(c*d^2+a*e^2)*_
     (5*B*c*d^2-4*A*c*d*e+a*B*e^2)*(d+e*x)^7/e^6-1/4*c*(5*B*c*d^3-_
     3*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)*(d+e*x)^8/e^6+2/9*c*(5*B*c*d^2-_
     2*A*c*d*e+a*B*e^2)*(d+e*x)^9/e^6-1/10*c^2*(5*B*d-A*e)*(d+e*x)^10/e^6+_
     1/11*B*c^2*(d+e*x)^11/e^6

--E 581
--S 582 of 1125
d0:=D(m0,x)
--E 582
)clear all
--S 583 of 1125
t0:=(A+B*x)*(d+e*x)^4*(a+c*x^2)^2
--E 583
--S 584 of 1125
r0:=-1/5*(B*d-A*e)*(c*d^2+a*e^2)^2*(d+e*x)^5/e^6+1/6*(c*d^2+a*e^2)*_
     (5*B*c*d^2-4*A*c*d*e+a*B*e^2)*(d+e*x)^6/e^6-2/7*c*(5*B*c*d^3-_
     3*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)*(d+e*x)^7/e^6+1/4*c*(5*B*c*d^2-_
     2*A*c*d*e+a*B*e^2)*(d+e*x)^8/e^6-1/9*c^2*(5*B*d-A*e)*(d+e*x)^9/e^6+_
     1/10*B*c^2*(d+e*x)^10/e^6
--E 584
--S 585 of 1125
d0:=D(m0,x)
--E 585
)clear all
--S 586 of 1125
t0:=(A+B*x)*(d+e*x)^3*(a+c*x^2)^2
--E 586
--S 587 of 1125
r0:=-1/4*(B*d-A*e)*(c*d^2+a*e^2)^2*(d+e*x)^4/e^6+1/5*(c*d^2+a*e^2)*_
     (5*B*c*d^2-4*A*c*d*e+a*B*e^2)*(d+e*x)^5/e^6-1/3*c*(5*B*c*d^3-_
     3*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)*(d+e*x)^6/e^6+2/7*c*(5*B*c*d^2-_
     2*A*c*d*e+a*B*e^2)*(d+e*x)^7/e^6-1/8*c^2*(5*B*d-A*e)*(d+e*x)^8/e^6+_
     1/9*B*c^2*(d+e*x)^9/e^6
--E 587
--S 588 of 1125
d0:=D(m0,x)
--E 588
)clear all
--S 589 of 1125
t0:=(A+B*x)*(d+e*x)^2*(a+c*x^2)^2
--E 589
--S 590 of 1125
r0:=a^2*A*d^2*x+1/2*a^2*d*(B*d+2*A*e)*x^2+1/3*a*(2*A*c*d^2+2*a*B*d*e+_

     a*A*e^2)*x^3+1/4*a*(2*B*c*d^2+4*A*c*d*e+a*B*e^2)*x^4+1/5*c*(A*c*d^2+_
     4*a*B*d*e+2*a*A*e^2)*x^5+1/6*c*(B*c*d^2+2*A*c*d*e+2*a*B*e^2)*x^6+_
     1/7*c^2*e*(2*B*d+A*e)*x^7+1/8*B*c^2*e^2*x^8
--E 590
--S 591 of 1125
d0:=D(m0,x)
--E 591
)clear all
--S 592 of 1125
t0:=(A+B*x)*(d+e*x)*(a+c*x^2)^2
--E 592
--S 593 of 1125
r0:=a^2*A*d*x+1/2*a^2*(B*d+A*e)*x^2+1/3*a*(2*A*c*d+a*B*e)*x^3+1/2*a*c*_
     (B*d+A*e)*x^4+1/5*c*(A*c*d+2*a*B*e)*x^5+1/6*c^2*(B*d+A*e)*x^6+_
     1/7*B*c^2*e*x^7
--E 593
--S 594 of 1125
d0:=D(m0,x)
--E 594
)clear all
--S 595 of 1125
t0:=(A+B*x)*(a+c*x^2)^2
--E 595
--S 596 of 1125
r0:=a^2*A*x+2/3*a*A*c*x^3+1/5*A*c^2*x^5+1/6*B*(a+c*x^2)^3/c
--E 596
--S 597 of 1125
d0:=D(m0,x)
--E 597
)clear all
--S 598 of 1125
t0:=(A+B*x)*(a+c*x^2)^2/(d+e*x)
--E 598
--S 599 of 1125
r0:=(B*(c*d^2+a*e^2)^2-A*c*d*e*(c*d^2+2*a*e^2))*x/e^5-1/2*c*(B*d-A*e)*_
     (c*d^2+2*a*e^2)*x^2/e^4+1/3*c*(B*c*d^2-A*c*d*e+2*a*B*e^2)*x^3/e^3-_
     1/4*c^2*(B*d-A*e)*x^4/e^2+1/5*B*c^2*x^5/e-(B*d-A*e)*(c*d^2+a*e^2)^2*_
     log(d+e*x)/e^6

--E 599
--S 600 of 1125
d0:=D(m0,x)
--E 600
)clear all
--S 601 of 1125
t0:=(A+B*x)*(a+c*x^2)^2/(d+e*x)^2
--E 601
--S 602 of 1125
r0:=-c*(4*B*c*d^3-3*A*c*d^2*e+4*a*B*d*e^2-2*a*A*e^3)*x/e^5+1/2*c*_
     (3*B*c*d^2-2*A*c*d*e+2*a*B*e^2)*x^2/e^4-1/3*c^2*(2*B*d-A*e)*x^3/e^3+_
     1/4*B*c^2*x^4/e^2+(B*d-A*e)*(c*d^2+a*e^2)^2/(e^6*(d+e*x))+_
     (c*d^2+a*e^2)*(5*B*c*d^2-4*A*c*d*e+a*B*e^2)*log(d+e*x)/e^6
--E 602
--S 603 of 1125
d0:=D(m0,x)
--E 603
)clear all
--S 604 of 1125
t0:=(A+B*x)*(a+c*x^2)^2/(d+e*x)^3
--E 604
--S 605 of 1125
r0:=c*(6*B*c*d^2-3*A*c*d*e+2*a*B*e^2)*x/e^5-1/2*c^2*(3*B*d-A*e)*x^2/e^4+_
     1/3*B*c^2*x^3/e^3+1/2*(B*d-A*e)*(c*d^2+a*e^2)^2/(e^6*(d+e*x)^2)-_
     (c*d^2+a*e^2)*(5*B*c*d^2-4*A*c*d*e+a*B*e^2)/(e^6*(d+e*x))-_
     2*c*(5*B*c*d^3-3*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)*log(d+e*x)/e^6
--E 605
--S 606 of 1125
d0:=D(m0,x)
--E 606
)clear all
--S 607 of 1125
t0:=(A+B*x)*(a+c*x^2)^2/(d+e*x)^4
--E 607
--S 608 of 1125
r0:=-c^2*(4*B*d-A*e)*x/e^5+1/2*B*c^2*x^2/e^4+1/3*(B*d-A*e)*(c*d^2+_
     a*e^2)^2/(e^6*(d+e*x)^3)-1/2*(c*d^2+a*e^2)*(5*B*c*d^2-4*A*c*d*e+_
     a*B*e^2)/(e^6*(d+e*x)^2)+2*c*(5*B*c*d^3-3*A*c*d^2*e+3*a*B*d*e^2-_

     a*A*e^3)/(e^6*(d+e*x))+2*c*(5*B*c*d^2-2*A*c*d*e+a*B*e^2)*log(d+e*x)/e^6
--E 608
--S 609 of 1125
d0:=D(m0,x)
--E 609
)clear all
--S 610 of 1125
t0:=(A+B*x)*(a+c*x^2)^2/(d+e*x)^5
--E 610
--S 611 of 1125
r0:=B*c^2*x/e^5+1/4*(B*d-A*e)*(c*d^2+a*e^2)^2/(e^6*(d+e*x)^4)-1/3*(c*d^2+_
     a*e^2)*(5*B*c*d^2-4*A*c*d*e+a*B*e^2)/(e^6*(d+e*x)^3)+c*(5*B*c*d^3-_
     3*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)/(e^6*(d+e*x)^2)-2*c*(5*B*c*d^2-_
     2*A*c*d*e+a*B*e^2)/(e^6*(d+e*x))-c^2*(5*B*d-A*e)*log(d+e*x)/e^6
--E 611
--S 612 of 1125
d0:=D(m0,x)
--E 612
)clear all
--S 613 of 1125
t0:=(A+B*x)*(a+c*x^2)^2/(d+e*x)^6
--E 613
--S 614 of 1125
r0:=1/5*(B*d-A*e)*(c*d^2+a*e^2)^2/(e^6*(d+e*x)^5)-1/4*(c*d^2+a*e^2)*_
     (5*B*c*d^2-4*A*c*d*e+a*B*e^2)/(e^6*(d+e*x)^4)+2/3*c*(5*B*c*d^3-_
     3*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)/(e^6*(d+e*x)^3)-c*(5*B*c*d^2-_
     2*A*c*d*e+a*B*e^2)/(e^6*(d+e*x)^2)+c^2*(5*B*d-A*e)/(e^6*(d+e*x))+_
     B*c^2*log(d+e*x)/e^6
--E 614
--S 615 of 1125
d0:=D(m0,x)
--E 615
)clear all
--S 616 of 1125
t0:=(A+B*x)*(a+c*x^2)^2/(d+e*x)^7
--E 616
--S 617 of 1125
r0:=1/6*(B*d-A*e)*(c*d^2+a*e^2)^2/(e^6*(d+e*x)^6)-1/5*(c*d^2+a*e^2)*_

     (5*B*c*d^2-4*A*c*d*e+a*B*e^2)/(e^6*(d+e*x)^5)+1/2*c*(5*B*c*d^3-_
     3*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)/(e^6*(d+e*x)^4)-2/3*c*(5*B*c*d^2-_
     2*A*c*d*e+a*B*e^2)/(e^6*(d+e*x)^3)+1/2*c^2*(5*B*d-A*e)/_
     (e^6*(d+e*x)^2)-B*c^2/(e^6*(d+e*x))
--E 617
--S 618 of 1125
d0:=D(m0,x)
--E 618
)clear all
--S 619 of 1125
t0:=(A+B*x)*(a+c*x^2)^2/(d+e*x)^8
--E 619
--S 620 of 1125
r0:=1/7*(B*d-A*e)*(c*d^2+a*e^2)^2/(e^6*(d+e*x)^7)-1/6*(c*d^2+a*e^2)*_
     (5*B*c*d^2-4*A*c*d*e+a*B*e^2)/(e^6*(d+e*x)^6)+2/5*c*(5*B*c*d^3-_
     3*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)/(e^6*(d+e*x)^5)-1/2*c*(5*B*c*d^2-_
     2*A*c*d*e+a*B*e^2)/(e^6*(d+e*x)^4)+1/3*c^2*(5*B*d-A*e)/(e^6*_
     (d+e*x)^3)-1/2*B*c^2/(e^6*(d+e*x)^2)
--E 620
--S 621 of 1125
d0:=D(m0,x)
--E 621
)clear all
--S 622 of 1125
t0:=(A+B*x)*(a+c*x^2)^2/(d+e*x)^9
--E 622
--S 623 of 1125
r0:=1/8*(B*d-A*e)*(c*d^2+a*e^2)^2/(e^6*(d+e*x)^8)-1/7*(c*d^2+a*e^2)*_
     (5*B*c*d^2-4*A*c*d*e+a*B*e^2)/(e^6*(d+e*x)^7)+1/3*c*(5*B*c*d^3-_
     3*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)/(e^6*(d+e*x)^6)-2/5*c*(5*B*c*d^2-_
     2*A*c*d*e+a*B*e^2)/(e^6*(d+e*x)^5)+1/4*c^2*(5*B*d-A*e)/(e^6*_
     (d+e*x)^4)-1/3*B*c^2/(e^6*(d+e*x)^3)
--E 623
--S 624 of 1125
d0:=D(m0,x)
--E 624
)clear all
--S 625 of 1125
t0:=(A+B*x)*(a+c*x^2)^2/(d+e*x)^10

--E 625
--S 626 of 1125
r0:=1/9*(B*d-A*e)*(c*d^2+a*e^2)^2/(e^6*(d+e*x)^9)-1/8*(c*d^2+a*e^2)*_
     (5*B*c*d^2-4*A*c*d*e+a*B*e^2)/(e^6*(d+e*x)^8)+2/7*c*(5*B*c*d^3-_
     3*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)/(e^6*(d+e*x)^7)-1/3*c*(5*B*c*d^2-_
     2*A*c*d*e+a*B*e^2)/(e^6*(d+e*x)^6)+1/5*c^2*(5*B*d-A*e)/(e^6*_
     (d+e*x)^5)-1/4*B*c^2/(e^6*(d+e*x)^4)
--E 626
--S 627 of 1125
d0:=D(m0,x)
--E 627
)clear all
--S 628 of 1125
t0:=(A+B*x)*(d+e*x)^m*(a+c*x^2)^3
--E 628
--S 629 of 1125
r0:=-(B*d-A*e)*(c*d^2+a*e^2)^3*(d+e*x)^(1+m)/(e^8*(1+m))+(c*d^2+a*e^2)^2*_
     (7*B*c*d^2-6*A*c*d*e+a*B*e^2)*(d+e*x)^(2+m)/(e^8*(2+m))-3*c*(c*d^2+_
     a*e^2)*(7*B*c*d^3-5*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)*(d+e*x)^(3+m)/_
     (e^8*(3+m))-c*(4*A*c*d*e*(5*c*d^2+3*a*e^2)-B*(35*c^2*d^4+30*a*_
     c*d^2*e^2+3*a^2*e^4))*(d+e*x)^(4+m)/(e^8*(4+m))-c^2*(35*B*c*d^3-_
     15*A*c*d^2*e+15*a*B*d*e^2-3*a*A*e^3)*(d+e*x)^(5+m)/(e^8*(5+m))+_
     3*c^2*(7*B*c*d^2-2*A*c*d*e+a*B*e^2)*(d+e*x)^(6+m)/(e^8*(6+m))-_
     c^3*(7*B*d-A*e)*(d+e*x)^(7+m)/(e^8*(7+m))+B*c^3*(d+e*x)^(8+m)/(e^8*(8+m))
--E 629
--S 630 of 1125
d0:=normalize(D(m0,x))
--E 630
)clear all
--S 631 of 1125
t0:=(A+B*x)*(d+e*x)^5*(a+c*x^2)^3
--E 631
--S 632 of 1125
r0:=-1/6*(B*d-A*e)*(c*d^2+a*e^2)^3*(d+e*x)^6/e^8+1/7*(c*d^2+a*e^2)^2*_
     (7*B*c*d^2-6*A*c*d*e+a*B*e^2)*(d+e*x)^7/e^8-3/8*c*(c*d^2+a*e^2)*_
     (7*B*c*d^3-5*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)*(d+e*x)^8/e^8-1/9*c*_
     (4*A*c*d*e*(5*c*d^2+3*a*e^2)-B*(35*c^2*d^4+30*a*c*d^2*e^2+3*_
     a^2*e^4))*(d+e*x)^9/e^8-1/10*c^2*(35*B*c*d^3-15*A*c*d^2*e+15*a*_
     B*d*e^2-3*a*A*e^3)*(d+e*x)^10/e^8+3/11*c^2*(7*B*c*d^2-2*A*c*d*e+_
     a*B*e^2)*(d+e*x)^11/e^8-1/12*c^3*(7*B*d-A*e)*(d+e*x)^12/e^8+1/13*_
     B*c^3*(d+e*x)^13/e^8

--E 632
--S 633 of 1125
d0:=D(m0,x)
--E 633
)clear all
--S 634 of 1125
t0:=(A+B*x)*(d+e*x)^4*(a+c*x^2)^3
--E 634
--S 635 of 1125
r0:=-1/5*(B*d-A*e)*(c*d^2+a*e^2)^3*(d+e*x)^5/e^8+1/6*(c*d^2+a*e^2)^2*_
     (7*B*c*d^2-6*A*c*d*e+a*B*e^2)*(d+e*x)^6/e^8-3/7*c*(c*d^2+a*e^2)*_
     (7*B*c*d^3-5*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)*(d+e*x)^7/e^8-1/8*c*_
     (4*A*c*d*e*(5*c*d^2+3*a*e^2)-B*(35*c^2*d^4+30*a*c*d^2*e^2+3*a^2*_
     e^4))*(d+e*x)^8/e^8-1/9*c^2*(35*B*c*d^3-15*A*c*d^2*e+15*a*B*d*e^2-_
     3*a*A*e^3)*(d+e*x)^9/e^8+3/10*c^2*(7*B*c*d^2-2*A*c*d*e+a*B*e^2)*_
     (d+e*x)^10/e^8-1/11*c^3*(7*B*d-A*e)*(d+e*x)^11/e^8+1/12*B*c^3*_
     (d+e*x)^12/e^8
--E 635
--S 636 of 1125
d0:=D(m0,x)
--E 636
)clear all
--S 637 of 1125
t0:=(A+B*x)*(d+e*x)^3*(a+c*x^2)^3
--E 637
--S 638 of 1125
r0:=a^3*A*d^3*x+1/2*a^3*d^2*(B*d+3*A*e)*x^2+a^2*d*(A*c*d^2+a*B*d*e+_
     a*A*e^2)*x^3+1/4*a^2*(3*B*c*d^3+9*A*c*d^2*e+3*a*B*d*e^2+a*A*e^3)*_
     x^4+1/5*a*(a*B*e*(9*c*d^2+a*e^2)+3*A*c*d*(c*d^2+3*a*e^2))*x^5+_
     1/2*a*c*(B*c*d^3+3*A*c*d^2*e+3*a*B*d*e^2+a*A*e^3)*x^6+1/7*c*(3*a*_
     B*e*(3*c*d^2+a*e^2)+A*c*d*(c*d^2+9*a*e^2))*x^7+1/8*c^2*(B*c*d^3+3*_
     A*c*d^2*e+9*a*B*d*e^2+3*a*A*e^3)*x^8+1/3*c^2*e*(B*c*d^2+A*c*d*e+_
     a*B*e^2)*x^9+1/10*c^3*e^2*(3*B*d+A*e)*x^10+1/11*B*c^3*e^3*x^11
--E 638
--S 639 of 1125
d0:=D(m0,x)
--E 639
)clear all
--S 640 of 1125

t0:=(A+B*x)*(d+e*x)^2*(a+c*x^2)^3
--E 640
--S 641 of 1125
r0:=a^3*A*d^2*x+1/2*a^3*d*(B*d+2*A*e)*x^2+1/3*a^2*(3*A*c*d^2+2*a*B*d*e+_
     a*A*e^2)*x^3+1/4*a^2*(3*B*c*d^2+6*A*c*d*e+a*B*e^2)*x^4+3/5*a*c*_
     (A*c*d^2+2*a*B*d*e+a*A*e^2)*x^5+1/2*a*c*(B*c*d^2+2*A*c*d*e+a*B*_
     e^2)*x^6+1/7*c^2*(A*c*d^2+6*a*B*d*e+3*a*A*e^2)*x^7+1/8*c^2*(B*c*d^2+_
     2*A*c*d*e+3*a*B*e^2)*x^8+1/9*c^3*e*(2*B*d+A*e)*x^9+1/10*B*c^3*e^2*x^10
--E 641
--S 642 of 1125
d0:=D(m0,x)
--E 642
)clear all
--S 643 of 1125
t0:=(A+B*x)*(d+e*x)*(a+c*x^2)^3
--E 643
--S 644 of 1125
r0:=a^3*A*d*x+1/2*a^3*(B*d+A*e)*x^2+1/3*a^2*(3*A*c*d+a*B*e)*x^3+3/4*_
     a^2*c*(B*d+A*e)*x^4+3/5*a*c*(A*c*d+a*B*e)*x^5+1/2*a*c^2*(B*d+A*e)*_
     x^6+1/7*c^2*(A*c*d+3*a*B*e)*x^7+1/8*c^3*(B*d+A*e)*x^8+1/9*B*c^3*e*x^9
--E 644
--S 645 of 1125
d0:=D(m0,x)
--E 645
)clear all
--S 646 of 1125
t0:=(A+B*x)*(a+c*x^2)^3
--E 646
--S 647 of 1125
r0:=a^3*A*x+a^2*A*c*x^3+3/5*a*A*c^2*x^5+1/7*A*c^3*x^7+1/8*B*(a+c*x^2)^4/c
--E 647
--S 648 of 1125
d0:=D(m0,x)
--E 648
)clear all
--S 649 of 1125
t0:=(A+B*x)*(a+c*x^2)^3/(d+e*x)
--E 649

--S 650 of 1125
r0:=(B*(c*d^2+a*e^2)^3-A*c*d*e*(c^2*d^4+3*a*c*d^2*e^2+3*a^2*e^4))*x/e^7-_
     1/2*c*(B*d-A*e)*(c^2*d^4+3*a*c*d^2*e^2+3*a^2*e^4)*x^2/e^6-1/3*c*_
     (A*c*d*e*(c*d^2+3*a*e^2)-B*(c^2*d^4+3*a*c*d^2*e^2+3*a^2*e^4))*_
     x^3/e^5-1/4*c^2*(B*d-A*e)*(c*d^2+3*a*e^2)*x^4/e^4+1/5*c^2*(B*c*_
     d^2-A*c*d*e+3*a*B*e^2)*x^5/e^3-1/6*c^3*(B*d-A*e)*x^6/e^2+1/7*B*_
     c^3*x^7/e-(B*d-A*e)*(c*d^2+a*e^2)^3*log(d+e*x)/e^8
--E 650
--S 651 of 1125
d0:=D(m0,x)
--E 651
)clear all
--S 652 of 1125
t0:=(A+B*x)*(a+c*x^2)^3/(d+e*x)^2
--E 652
--S 653 of 1125
r0:=-c*(6*B*d*(c*d^2+a*e^2)^2-A*e*(5*c^2*d^4+9*a*c*d^2*e^2+3*a^2*e^4))*_
     x/e^7-1/2*c*(2*A*c*d*e*(2*c*d^2+3*a*e^2)-B*(5*c^2*d^4+9*a*c*d^2*e^2+_
     3*a^2*e^4))*x^2/e^6+1/3*c^2*(3*A*e*(c*d^2+a*e^2)-B*(4*c*d^3+_
     6*a*d*e^2))*x^3/e^5-1/4*c^2*(2*A*c*d*e-3*B*(c*d^2+a*e^2))*x^4/e^4-_
     1/5*c^3*(2*B*d-A*e)*x^5/e^3+1/6*B*c^3*x^6/e^2+(B*d-A*e)*(c*d^2+_
     a*e^2)^3/(e^8*(d+e*x))+(c*d^2+a*e^2)^2*(7*B*c*d^2-6*A*c*d*e+_
     a*B*e^2)*log(d+e*x)/e^8
--E 653
--S 654 of 1125
d0:=D(m0,x)
--E 654
)clear all
--S 655 of 1125
t0:=(A+B*x)*(a+c*x^2)^3/(d+e*x)^3
--E 655
--S 656 of 1125
r0:=-c*(A*c*d*e*(10*c*d^2+9*a*e^2)-3*B*(5*c^2*d^4+6*a*c*d^2*e^2+_
     a^2*e^4))*x/e^7-1/2*c^2*(10*B*c*d^3-6*A*c*d^2*e+9*a*B*d*e^2-_
     3*a*A*e^3)*x^2/e^6+c^2*(2*B*c*d^2-A*c*d*e+a*B*e^2)*x^3/e^5-_
     1/4*c^3*(3*B*d-A*e)*x^4/e^4+1/5*B*c^3*x^5/e^3+1/2*(B*d-A*e)*_
     (c*d^2+a*e^2)^3/(e^8*(d+e*x)^2)-(c*d^2+a*e^2)^2*(7*B*c*d^2-_
     6*A*c*d*e+a*B*e^2)/(e^8*(d+e*x))-3*c*(c*d^2+a*e^2)*(7*B*c*d^3-_
     5*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)*log(d+e*x)/e^8
--E 656

)clear all
--S 658 of 1125
t0:=(A+B*x)*(a+c*x^2)^3/(d+e*x)^4
--E 658
--S 659 of 1125
r0:=-c^2*(20*B*c*d^3-10*A*c*d^2*e+12*a*B*d*e^2-3*a*A*e^3)*x/e^7+1/2*_
     c^2*(10*B*c*d^2-4*A*c*d*e+3*a*B*e^2)*x^2/e^6-1/3*c^3*(4*B*d-A*e)*_
     x^3/e^5+1/4*B*c^3*x^4/e^4+1/3*(B*d-A*e)*(c*d^2+a*e^2)^3/(e^8*(d+_
     e*x)^3)-1/2*(c*d^2+a*e^2)^2*(7*B*c*d^2-6*A*c*d*e+a*B*e^2)/(e^8*_
     (d+e*x)^2)+3*c*(c*d^2+a*e^2)*(7*B*c*d^3-5*A*c*d^2*e+3*a*B*d*e^2-_
     a*A*e^3)/(e^8*(d+e*x))-c*(4*A*c*d*e*(5*c*d^2+3*a*e^2)-B*(35*c^2*_
     d^4+30*a*c*d^2*e^2+3*a^2*e^4))*log(d+e*x)/e^8
--E 659
--S 660 of 1125
d0:=D(m0,x)
--E 660
)clear all
--S 661 of 1125
t0:=(A+B*x)*(a+c*x^2)^3/(d+e*x)^5
--E 661
--S 662 of 1125
r0:=-c^2*(5*A*c*d*e-3*B*(5*c*d^2+a*e^2))*x/e^7-1/2*c^3*(5*B*d-A*e)*_
     x^2/e^6+1/3*B*c^3*x^3/e^5+1/4*(B*d-A*e)*(c*d^2+a*e^2)^3/(e^8*_
     (d+e*x)^4)-1/3*(c*d^2+a*e^2)^2*(7*B*c*d^2-6*A*c*d*e+a*B*e^2)/_
     (e^8*(d+e*x)^3)+3/2*c*(c*d^2+a*e^2)*(7*B*c*d^3-5*A*c*d^2*e+3*a*B*_
     d*e^2-a*A*e^3)/(e^8*(d+e*x)^2)+c*(4*A*c*d*e*(5*c*d^2+3*a*e^2)-B*_
     (35*c^2*d^4+30*a*c*d^2*e^2+3*a^2*e^4))/(e^8*(d+e*x))-c^2*(35*B*c*_
     d^3-15*A*c*d^2*e+15*a*B*d*e^2-3*a*A*e^3)*log(d+e*x)/e^8
--E 662
--S 663 of 1125
d0:=D(m0,x)
--E 663
)clear all
--S 664 of 1125
t0:=(A+B*x)*(a+c*x^2)^3/(d+e*x)^6
--E 664

--S 665 of 1125
r0:=-c^3*(6*B*d-A*e)*x/e^7+1/2*B*c^3*x^2/e^6+1/5*(B*d-A*e)*(c*d^2+_
     a*e^2)^3/(e^8*(d+e*x)^5)-1/4*(c*d^2+a*e^2)^2*(7*B*c*d^2-6*A*c*d*e+_
     a*B*e^2)/(e^8*(d+e*x)^4)+c*(c*d^2+a*e^2)*(7*B*c*d^3-5*A*c*d^2*e+_
     3*a*B*d*e^2-a*A*e^3)/(e^8*(d+e*x)^3)+1/2*c*(4*A*c*d*e*(5*c*d^2+_
     3*a*e^2)-B*(35*c^2*d^4+30*a*c*d^2*e^2+3*a^2*e^4))/(e^8*(d+e*x)^2)+_
     c^2*(35*B*c*d^3-15*A*c*d^2*e+15*a*B*d*e^2-3*a*A*e^3)/(e^8*(d+e*x))+_
     3*c^2*(7*B*c*d^2-2*A*c*d*e+a*B*e^2)*log(d+e*x)/e^8
--E 665
--S 666 of 1125
d0:=D(m0,x)
--E 666
)clear all
--S 667 of 1125
t0:=(A+B*x)*(a+c*x^2)^3/(d+e*x)^7
--E 667
--S 668 of 1125
r0:=B*c^3*x/e^7+1/6*(B*d-A*e)*(c*d^2+a*e^2)^3/(e^8*(d+e*x)^6)-1/5*(c*d^2+_
     a*e^2)^2*(7*B*c*d^2-6*A*c*d*e+a*B*e^2)/(e^8*(d+e*x)^5)+3/4*c*(c*d^2+_
     a*e^2)*(7*B*c*d^3-5*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)/(e^8*(d+e*x)^4)+_
     1/3*c*(4*A*c*d*e*(5*c*d^2+3*a*e^2)-B*(35*c^2*d^4+30*a*c*d^2*e^2+3*_
     a^2*e^4))/(e^8*(d+e*x)^3)+1/2*c^2*(35*B*c*d^3-15*A*c*d^2*e+15*a*B*_
     d*e^2-3*a*A*e^3)/(e^8*(d+e*x)^2)-3*c^2*(7*B*c*d^2-2*A*c*d*e+a*_
     B*e^2)/(e^8*(d+e*x))-c^3*(7*B*d-A*e)*log(d+e*x)/e^8
--E 668
--S 669 of 1125
d0:=D(m0,x)
--E 669
)clear all
--S 670 of 1125
t0:=(A+B*x)*(a+c*x^2)^3/(d+e*x)^8
--E 670
--S 671 of 1125
r0:=1/7*(B*d-A*e)*(c*d^2+a*e^2)^3/(e^8*(d+e*x)^7)-1/6*(c*d^2+a*e^2)^2*_
     (7*B*c*d^2-6*A*c*d*e+a*B*e^2)/(e^8*(d+e*x)^6)+3/5*c*(c*d^2+a*e^2)*_
     (7*B*c*d^3-5*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)/(e^8*(d+e*x)^5)+1/4*c*_
     (4*A*c*d*e*(5*c*d^2+3*a*e^2)-B*(35*c^2*d^4+30*a*c*d^2*e^2+3*a^2*_
     e^4))/(e^8*(d+e*x)^4)+1/3*c^2*(35*B*c*d^3-15*A*c*d^2*e+15*a*B*d*e^2-_
     3*a*A*e^3)/(e^8*(d+e*x)^3)-3/2*c^2*(7*B*c*d^2-2*A*c*d*e+a*B*e^2)/_
     (e^8*(d+e*x)^2)+c^3*(7*B*d-A*e)/(e^8*(d+e*x))+B*c^3*log(d+e*x)/e^8
--E 671

)clear all
--S 673 of 1125
t0:=(A+B*x)*(a+c*x^2)^3/(d+e*x)^9
--E 673
--S 674 of 1125
r0:=1/8*(B*d-A*e)*(c*d^2+a*e^2)^3/(e^8*(d+e*x)^8)-1/7*(c*d^2+a*e^2)^2*_
     (7*B*c*d^2-6*A*c*d*e+a*B*e^2)/(e^8*(d+e*x)^7)+1/2*c*(c*d^2+a*e^2)*_
     (7*B*c*d^3-5*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)/(e^8*(d+e*x)^6)+1/5*c*_
     (4*A*c*d*e*(5*c*d^2+3*a*e^2)-B*(35*c^2*d^4+30*a*c*d^2*e^2+3*a^2*_
     e^4))/(e^8*(d+e*x)^5)+1/4*c^2*(35*B*c*d^3-15*A*c*d^2*e+15*a*B*d*e^2-_
     3*a*A*e^3)/(e^8*(d+e*x)^4)-c^2*(7*B*c*d^2-2*A*c*d*e+a*B*e^2)/(e^8*_
     (d+e*x)^3)+1/2*c^3*(7*B*d-A*e)/(e^8*(d+e*x)^2)-B*c^3/(e^8*(d+e*x))
--E 674
--S 675 of 1125
d0:=D(m0,x)
--E 675
)clear all
--S 676 of 1125
t0:=(A+B*x)*(a+c*x^2)^3/(d+e*x)^10
--E 676
--S 677 of 1125
r0:=1/9*(B*d-A*e)*(c*d^2+a*e^2)^3/(e^8*(d+e*x)^9)-1/8*(c*d^2+a*e^2)^2*_
     (7*B*c*d^2-6*A*c*d*e+a*B*e^2)/(e^8*(d+e*x)^8)+3/7*c*(c*d^2+a*e^2)*_
     (7*B*c*d^3-5*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)/(e^8*(d+e*x)^7)+1/6*c*_
     (4*A*c*d*e*(5*c*d^2+3*a*e^2)-B*(35*c^2*d^4+30*a*c*d^2*e^2+3*_
     a^2*e^4))/(e^8*(d+e*x)^6)+1/5*c^2*(35*B*c*d^3-15*A*c*d^2*e+15*a*B*_
     d*e^2-3*a*A*e^3)/(e^8*(d+e*x)^5)-3/4*c^2*(7*B*c*d^2-2*A*c*d*e+_
     a*B*e^2)/(e^8*(d+e*x)^4)+1/3*c^3*(7*B*d-A*e)/(e^8*(d+e*x)^3)-_
     1/2*B*c^3/(e^8*(d+e*x)^2)
--E 677
--S 678 of 1125
d0:=D(m0,x)
--E 678
)clear all
--S 679 of 1125
t0:=(A+B*x)*(a+c*x^2)^3/(d+e*x)^11
--E 679

--S 680 of 1125
r0:=1/10*(B*d-A*e)*(c*d^2+a*e^2)^3/(e^8*(d+e*x)^10)-1/9*(c*d^2+a*e^2)^2*_
     (7*B*c*d^2-6*A*c*d*e+a*B*e^2)/(e^8*(d+e*x)^9)+3/8*c*(c*d^2+a*e^2)*_
     (7*B*c*d^3-5*A*c*d^2*e+3*a*B*d*e^2-a*A*e^3)/(e^8*(d+e*x)^8)+1/7*c*_
     (4*A*c*d*e*(5*c*d^2+3*a*e^2)-B*(35*c^2*d^4+30*a*c*d^2*e^2+3*a^2*_
     e^4))/(e^8*(d+e*x)^7)+1/6*c^2*(35*B*c*d^3-15*A*c*d^2*e+15*a*B*d*e^2-_
     3*a*A*e^3)/(e^8*(d+e*x)^6)-3/5*c^2*(7*B*c*d^2-2*A*c*d*e+a*B*e^2)/_
     (e^8*(d+e*x)^5)+1/4*c^3*(7*B*d-A*e)/(e^8*(d+e*x)^4)-1/3*B*c^3/_
     (e^8*(d+e*x)^3)
--E 680
--S 681 of 1125
d0:=D(m0,x)
--E 681
)clear all
--S 682 of 1125
t0:=(A+B*x)*(d+e*x)^m/(a+c*x^2)
--E 682
--S 683 of 1125
--r0:=-1/2*(d+e*x)^(1+m)*hypergeometric(1,1+m,2+m,(d+e*x)*sqrt(c)/_
--     (e*sqrt(-a)+d*sqrt(c)))*(A+B*sqrt(-a)/sqrt(c))/((1+m)*sqrt(-a)*_
--     (e*sqrt(-a)+d*sqrt(c)))-1/2*(d+e*x)^(1+m)*hypergeometric(1,1+m,2+_
--     m,(d+e*x)*sqrt(c)/(-e*sqrt(-a)+d*sqrt(c)))*(a*B+A*sqrt(-a)*sqrt(c))/_
--     (a*(1+m)*sqrt(c)*(-e*sqrt(-a)+d*sqrt(c)))
--E 683
--S 684 of 1125
d0:=D(m0,x)
--E 684
)clear all
--S 685 of 1125
t0:=(A+B*x)*(d+e*x)^(1+m)/(a+c*x^2)
--E 685
--S 686 of 1125
--r0:=-1/2*(d+e*x)^(2+m)*hypergeometric(1,2+m,3+m,(d+e*x)*sqrt(c)/(e*_
--     sqrt(-a)+d*sqrt(c)))*(A+B*sqrt(-a)/sqrt(c))/((2+m)*sqrt(-a)*(e*_
--     sqrt(-a)+d*sqrt(c)))-1/2*(d+e*x)^(2+m)*hypergeometric(1,2+m,3+m,_
--     (d+e*x)*sqrt(c)/(-e*sqrt(-a)+d*sqrt(c)))*(a*B+A*sqrt(-a)*sqrt(c))/_
--     (a*(2+m)*sqrt(c)*(-e*sqrt(-a)+d*sqrt(c)))
--E 686
--S 687 of 1125
d0:=D(m0,x)

--E 687
)clear all
--S 688 of 1125
t0:=(A+B*x)*(d+e*x)^4/(a+c*x^2)
--E 688
--S 689 of 1125
r0:=e*(4*B*c*d^3+6*A*c*d^2*e-4*a*B*d*e^2-a*A*e^3)*x/c^2+1/2*e^2*(6*B*c*d^2+_
     4*A*c*d*e-a*B*e^2)*x^2/c^2+1/3*e^3*(4*B*d+A*e)*x^3/c+1/4*B*e^4*x^4/c+_
     1/2*(4*A*c*d*e*(c*d^2-a*e^2)+B*(c^2*d^4-6*a*c*d^2*e^2+a^2*e^4))*_
     log(a+c*x^2)/c^3-(4*a*B*d*e*(c*d^2-a*e^2)-A*(c^2*d^4-6*a*c*d^2*_
     e^2+a^2*e^4))*atan(x*sqrt(c)/sqrt(a))/(c^(5/2)*sqrt(a))
--E 689
--S 690 of 1125
d0:=D(m0,x)
--E 690
)clear all
--S 691 of 1125
t0:=(A+B*x)*(d+e*x)^3/(a+c*x^2)
--E 691
--S 692 of 1125
r0:=e*(3*B*c*d^2+3*A*c*d*e-a*B*e^2)*x/c^2+1/2*e^2*(3*B*d+A*e)*x^2/c+_
     1/3*B*e^3*x^3/c+1/2*(B*c*d^3+3*A*c*d^2*e-3*a*B*d*e^2-a*A*e^3)*_
     log(a+c*x^2)/c^2+(A*c*d*(c*d^2-3*a*e^2)-a*B*e*(3*c*d^2-a*e^2))*_
     atan(x*sqrt(c)/sqrt(a))/(c^(5/2)*sqrt(a))
--E 692
--S 693 of 1125
d0:=D(m0,x)
--E 693
)clear all
--S 694 of 1125
t0:=(A+B*x)*(d+e*x)^2/(a+c*x^2)
--E 694
--S 695 of 1125
r0:=e*(2*B*d+A*e)*x/c+1/2*B*e^2*x^2/c+1/2*(B*c*d^2+2*A*c*d*e-a*B*e^2)*_
     log(a+c*x^2)/c^2+(A*c*d^2-2*a*B*d*e-a*A*e^2)*atan(x*sqrt(c)/_
     sqrt(a))/(c^(3/2)*sqrt(a))
--E 695
--S 696 of 1125

)clear all
--S 697 of 1125
t0:=(A+B*x)*(d+e*x)/(a+c*x^2)
--E 697
--S 698 of 1125
r0:=B*e*x/c+1/2*(B*d+A*e)*log(a+c*x^2)/c+(A*c*d-a*B*e)*atan(x*sqrt(c)/_
     sqrt(a))/(c^(3/2)*sqrt(a))
--E 698
--S 699 of 1125
d0:=D(m0,x)
--E 699
)clear all
--S 700 of 1125
t0:=(A+B*x)/(a+c*x^2)
--E 700
--S 701 of 1125
r0:=1/2*B*log(a+c*x^2)/c+A*atan(x*sqrt(c)/sqrt(a))/(sqrt(a)*sqrt(c))
--E 701
--S 702 of 1125
d0:=D(m0,x)
--E 702
)clear all
--S 703 of 1125
t0:=(A+B*x)/((d+e*x)*(a+c*x^2))
--E 703
--S 704 of 1125
r0:=-(B*d-A*e)*log(d+e*x)/(c*d^2+a*e^2)+1/2*(B*d-A*e)*log(a+c*x^2)/_
     (c*d^2+a*e^2)+(A*c*d+a*B*e)*atan(x*sqrt(c)/sqrt(a))/((c*d^2+a*e^2)*_
     sqrt(a)*sqrt(c))
--E 704
--S 705 of 1125
d0:=D(m0,x)
--E 705
)clear all

--S 706 of 1125
t0:=(A+B*x)/((d+e*x)^2*(a+c*x^2))
--E 706
--S 707 of 1125
r0:=(B*d-A*e)/((c*d^2+a*e^2)*(d+e*x))-(B*c*d^2-2*A*c*d*e-a*B*e^2)*_
     log(d+e*x)/(c*d^2+a*e^2)^2+1/2*(B*c*d^2-2*A*c*d*e-a*B*e^2)*_
     log(a+c*x^2)/(c*d^2+a*e^2)^2+(A*c*d^2+2*a*B*d*e-a*A*e^2)*_
     atan(x*sqrt(c)/sqrt(a))*sqrt(c)/((c*d^2+a*e^2)^2*sqrt(a))
--E 707
--S 708 of 1125
d0:=D(m0,x)
--E 708
)clear all
--S 709 of 1125
t0:=(A+B*x)/((d+e*x)^3*(a+c*x^2))
--E 709
--S 710 of 1125
r0:=1/2*(B*d-A*e)/((c*d^2+a*e^2)*(d+e*x)^2)+(B*c*d^2-2*A*c*d*e-a*B*e^2)/_
     ((c*d^2+a*e^2)^2*(d+e*x))-c*(B*c*d^3-3*A*c*d^2*e-3*a*B*d*e^2+_
     a*A*e^3)*log(d+e*x)/(c*d^2+a*e^2)^3+1/2*c*(B*c*d^3-3*A*c*d^2*e-_
     3*a*B*d*e^2+a*A*e^3)*log(a+c*x^2)/(c*d^2+a*e^2)^3+(A*c*d*(c*d^2-_
     3*a*e^2)+a*B*e*(3*c*d^2-a*e^2))*atan(x*sqrt(c)/sqrt(a))*sqrt(c)/_
     ((c*d^2+a*e^2)^3*sqrt(a))
--E 710
--S 711 of 1125
d0:=D(m0,x)
--E 711
)clear all
--S 712 of 1125
t0:=(A+B*x)*(d+e*x)^5/(a+c*x^2)^2
--E 712
--S 713 of 1125
r0:=-5/2*e^2*(A*c*d*(2*c*d^2-3*a*e^2)-a*B*e*(6*c*d^2-a*e^2))*x/(a*c^3)-_
     e^3*(5*A*c*d^2-5*a*B*d*e-a*A*e^2)*x^2/(a*c^2)-5/6*e^4*(3*A*c*d-a*B*e)*_
     x^3/(a*c^2)-1/2*A*e^5*x^4/(a*c)-1/2*(a*B-A*c*x)*(d+e*x)^5/(a*c*_
     (a+c*x^2))+1/2*(A*c*d*(c^2*d^4+10*a*c*d^2*e^2-15*a^2*e^4)+5*a*B*_
     e*(c^2*d^4-6*a*c*d^2*e^2+a^2*e^4))*atan(x*sqrt(c)/sqrt(a))/_
     (a^(3/2)*c^(7/2))+e^2*(5*B*c*d^3+5*A*c*d^2*e-5*a*B*d*e^2-a*A*e^3)*_
     log(a+c*x^2)/c^3
--E 713

)clear all
--S 715 of 1125
t0:=(A+B*x)*(d+e*x)^4/(a+c*x^2)^2
--E 715
--S 716 of 1125
r0:=-3/2*e^2*(2*A*c*d^2-4*a*B*d*e-a*A*e^2)*x/(a*c^2)-e^3*(2*A*c*d-a*B*e)*_
     x^2/(a*c^2)-1/2*A*e^4*x^3/(a*c)-1/2*(a*B-A*c*x)*(d+e*x)^4/(a*c*_
     (a+c*x^2))+1/2*(4*a*B*d*e*(c*d^2-3*a*e^2)+A*(c^2*d^4+6*a*c*d^2*_
     e^2-3*a^2*e^4))*atan(x*sqrt(c)/sqrt(a))/(a^(3/2)*c^(5/2))+e^2*_
     (3*B*c*d^2+2*A*c*d*e-a*B*e^2)*log(a+c*x^2)/c^3
--E 716
--S 717 of 1125
d0:=D(m0,x)
--E 717
)clear all
--S 718 of 1125
t0:=(A+B*x)*(d+e*x)^3/(a+c*x^2)^2
--E 718
--S 719 of 1125
r0:=-3/2*e^2*(A*c*d-a*B*e)*x/(a*c^2)-1/2*A*e^3*x^2/(a*c)-1/2*(a*B-A*c*x)*_
     (d+e*x)^3/(a*c*(a+c*x^2))+1/2*(3*a*B*e*(c*d^2-a*e^2)+A*c*d*_
     (c*d^2+3*a*e^2))*atan(x*sqrt(c)/sqrt(a))/(a^(3/2)*c^(5/2))+1/2*_
     e^2*(3*B*d+A*e)*log(a+c*x^2)/c^2
--E 719
--S 720 of 1125
d0:=D(m0,x)
--E 720
)clear all
--S 721 of 1125
t0:=(A+B*x)*(d+e*x)^2/(a+c*x^2)^2
--E 721
--S 722 of 1125
r0:=-1/2*A*e^2*x/(a*c)-1/2*(a*B-A*c*x)*(d+e*x)^2/(a*c*(a+c*x^2))+_
     1/2*(A*c*d^2+2*a*B*d*e+a*A*e^2)*atan(x*sqrt(c)/sqrt(a))/(a^(3/2)*_
     c^(3/2))+1/2*B*e^2*log(a+c*x^2)/c^2
--E 722

)clear all
--S 724 of 1125
t0:=(A+B*x)*(d+e*x)/(a+c*x^2)^2
--E 724
--S 725 of 1125
r0:=-1/2*(a*B-A*c*x)*(d+e*x)/(a*c*(a+c*x^2))+1/2*(A*c*d+a*B*e)*_
     atan(x*sqrt(c)/sqrt(a))/(a^(3/2)*c^(3/2))
--E 725
--S 726 of 1125
d0:=D(m0,x)
--E 726
)clear all
--S 727 of 1125
t0:=(A+B*x)/(a+c*x^2)^2
--E 727
--S 728 of 1125
r0:=1/2*(-a*B+A*c*x)/(a*c*(a+c*x^2))+1/2*A*atan(x*sqrt(c)/sqrt(a))/_
     (a^(3/2)*sqrt(c))
--E 728
--S 729 of 1125
d0:=D(m0,x)
--E 729
)clear all
--S 730 of 1125
t0:=(A+B*x)/((d+e*x)*(a+c*x^2)^2)
--E 730
--S 731 of 1125
r0:=1/2*(-a*(B*d-A*e)+(A*c*d+a*B*e)*x)/(a*(c*d^2+a*e^2)*(a+c*x^2))-_
     e^2*(B*d-A*e)*log(d+e*x)/(c*d^2+a*e^2)^2+1/2*e^2*(B*d-A*e)*log(a+_
     c*x^2)/(c*d^2+a*e^2)^2-1/2*(a*B*e*(c*d^2-a*e^2)-A*c*d*(c*d^2+_
     3*a*e^2))*atan(x*sqrt(c)/sqrt(a))/(a^(3/2)*(c*d^2+a*e^2)^2*sqrt(c))
--E 731
--S 732 of 1125
d0:=D(m0,x)

--E 732
)clear all
--S 733 of 1125
t0:=(A+B*x)/((d+e*x)^2*(a+c*x^2)^2)
--E 733
--S 734 of 1125
r0:=1/2*e*(A*c*d^2+4*a*B*d*e-3*a*A*e^2)/(a*(c*d^2+a*e^2)^2*(d+e*x))+_
     1/2*(-a*(B*d-A*e)+(A*c*d+a*B*e)*x)/(a*(c*d^2+a*e^2)*(d+e*x)*_
     (a+c*x^2))-e^2*(3*B*c*d^2-4*A*c*d*e-a*B*e^2)*log(d+e*x)/(c*d^2+_
     a*e^2)^3+1/2*e^2*(3*B*c*d^2-4*A*c*d*e-a*B*e^2)*log(a+c*x^2)/_
     (c*d^2+a*e^2)^3-1/2*(2*a*B*d*e*(c*d^2-3*a*e^2)-A*(c^2*d^4+6*a*_
     c*d^2*e^2-3*a^2*e^4))*atan(x*sqrt(c)/sqrt(a))*sqrt(c)/(a^(3/2)*_
     (c*d^2+a*e^2)^3)
--E 734
--S 735 of 1125
d0:=D(m0,x)
--E 735
)clear all
--S 736 of 1125
t0:=(A+B*x)*(d+e*x)^5/(a+c*x^2)^3
--E 736
--S 737 of 1125
r0:=-3/8*e^2*(5*a*B*e*(2*c*d^2-a*e^2)+A*c*d*(6*c*d^2+5*a*e^2))*x/(a^2*c^3)-_
     1/2*e^3*(3*A*c*d^2+5*a*B*d*e+a*A*e^2)*x^2/(a^2*c^2)-1/8*e^4*(3*A*_
     c*d+5*a*B*e)*x^3/(a^2*c^2)-1/4*(a*B-A*c*x)*(d+e*x)^5/(a*c*(a+_
     c*x^2)^2)+1/8*(d+e*x)^4*(2*a*A*e+(3*A*c*d+5*a*B*e)*x)/(a^2*c*(a+_
     c*x^2))+1/8*(5*a*B*e*(c^2*d^4+6*a*c*d^2*e^2-3*a^2*e^4)+A*c*d*_
     (3*c^2*d^4+10*a*c*d^2*e^2+15*a^2*e^4))*atan(x*sqrt(c)/sqrt(a))/_
     (a^(5/2)*c^(7/2))+1/2*e^4*(5*B*d+A*e)*log(a+c*x^2)/c^3
--E 737
--S 738 of 1125
d0:=D(m0,x)
--E 738
)clear all
--S 739 of 1125
t0:=(A+B*x)*(d+e*x)^4/(a+c*x^2)^3
--E 739
--S 740 of 1125
r0:=-3/8*e^2*(3*A*c*d^2+4*a*B*d*e+a*A*e^2)*x/(a^2*c^2)-1/8*e^3*(3*A*c*d+_

     4*a*B*e)*x^2/(a^2*c^2)-1/4*(a*B-A*c*x)*(d+e*x)^4/(a*c*(a+c*x^2)^2)+_
     1/8*(d+e*x)^3*(a*A*e+(3*A*c*d+4*a*B*e)*x)/(a^2*c*(a+c*x^2))+_
     1/8*(3*A*(c*d^2+a*e^2)^2+4*a*B*d*e*(c*d^2+3*a*e^2))*atan(x*_
     sqrt(c)/sqrt(a))/(a^(5/2)*c^(5/2))+1/2*B*e^4*log(a+c*x^2)/c^3
--E 740
--S 741 of 1125
d0:=D(m0,x)
--E 741
)clear all
--S 742 of 1125
t0:=(A+B*x)*(d+e*x)^3/(a+c*x^2)^3
--E 742
--S 743 of 1125
r0:=-1/4*(a*B-A*c*x)*(d+e*x)^3/(a*c*(a+c*x^2)^2)-3/8*(A*c*d+a*B*e)*_
     (a*e-c*d*x)*(d+e*x)/(a^2*c^2*(a+c*x^2))+3/8*(A*c*d+a*B*e)*(c*d^2+_
     a*e^2)*atan(x*sqrt(c)/sqrt(a))/(a^(5/2)*c^(5/2))
--E 743
--S 744 of 1125
d0:=D(m0,x)
--E 744
)clear all
--S 745 of 1125
t0:=(A+B*x)*(d+e*x)^2/(a+c*x^2)^3
--E 745
--S 746 of 1125
r0:=-1/4*(a*B-A*c*x)*(d+e*x)^2/(a*c*(a+c*x^2)^2)-1/8*(a*e-c*d*x)*_
     (3*A*c*d+2*a*B*e+A*c*e*x)/(a^2*c^2*(a+c*x^2))+1/8*(3*A*c*d^2+2*a*_
     B*d*e+a*A*e^2)*atan(x*sqrt(c)/sqrt(a))/(a^(5/2)*c^(3/2))
--E 746
--S 747 of 1125
d0:=D(m0,x)
--E 747
)clear all
--S 748 of 1125
t0:=(A+B*x)*(d+e*x)/(a+c*x^2)^3
--E 748
--S 749 of 1125
r0:=-1/4*(a*B-A*c*x)*(d+e*x)/(a*c*(a+c*x^2)^2)+1/8*(-2*a*A*e+(3*A*c*d+_

     a*B*e)*x)/(a^2*c*(a+c*x^2))+1/8*(3*A*c*d+a*B*e)*atan(x*sqrt(c)/_
     sqrt(a))/(a^(5/2)*c^(3/2))
--E 749
--S 750 of 1125
d0:=D(m0,x)
--E 750
)clear all
--S 751 of 1125
t0:=(A+B*x)/(a+c*x^2)^3
--E 751
--S 752 of 1125
r0:=1/4*(-a*B+A*c*x)/(a*c*(a+c*x^2)^2)+3/8*A*x/(a^2*(a+c*x^2))+_
     3/8*A*atan(x*sqrt(c)/sqrt(a))/(a^(5/2)*sqrt(c))
--E 752
--S 753 of 1125
d0:=D(m0,x)
--E 753
)clear all
--S 754 of 1125
t0:=(A+B*x)/((d+e*x)*(a+c*x^2)^3)
--E 754
--S 755 of 1125
r0:=1/4*(-a*(B*d-A*e)+(A*c*d+a*B*e)*x)/(a*(c*d^2+a*e^2)*(a+c*x^2)^2)+_
     1/8*(-4*a^2*e^2*(B*d-A*e)-(a*B*e*(c*d^2-3*a*e^2)-A*c*d*(3*c*d^2+7*_
     a*e^2))*x)/(a^2*(c*d^2+a*e^2)^2*(a+c*x^2))-e^4*(B*d-A*e)*log(d+_
     e*x)/(c*d^2+a*e^2)^3+1/2*e^4*(B*d-A*e)*log(a+c*x^2)/(c*d^2+_
     a*e^2)^3-1/8*(a*B*e*(c^2*d^4+6*a*c*d^2*e^2-3*a^2*e^4)-A*c*d*_
     (3*c^2*d^4+10*a*c*d^2*e^2+15*a^2*e^4))*atan(x*sqrt(c)/sqrt(a))/_
     (a^(5/2)*(c*d^2+a*e^2)^3*sqrt(c))
--E 755
--S 756 of 1125
d0:=D(m0,x)
--E 756
)clear all
--S 757 of 1125
t0:=(A+B*x)/((d+e*x)^2*(a+c*x^2)^3)
--E 757
--S 758 of 1125

r0:=-1/8*e*(2*a*B*d*e*(c*d^2-11*a*e^2)-3*A*(c^2*d^4+4*a*c*d^2*e^2-_
     5*a^2*e^4))/(a^2*(c*d^2+a*e^2)^3*(d+e*x))+1/4*(-a*(B*d-A*e)+_
     (A*c*d+a*B*e)*x)/(a*(c*d^2+a*e^2)*(d+e*x)*(a+c*x^2)^2)+1/8*(-a*_
     e*(A*c*d^2+6*a*B*d*e-5*a*A*e^2)-(2*a*B*e*(c*d^2-2*a*e^2)-3*A*c*d*_
     (c*d^2+3*a*e^2))*x)/(a^2*(c*d^2+a*e^2)^2*(d+e*x)*(a+c*x^2))-e^4*_
     (5*B*c*d^2-6*A*c*d*e-a*B*e^2)*log(d+e*x)/(c*d^2+a*e^2)^4+1/2*e^4*_
     (5*B*c*d^2-6*A*c*d*e-a*B*e^2)*log(a+c*x^2)/(c*d^2+a*e^2)^4-1/8*_
     (2*a*B*d*e*(c^2*d^4+10*a*c*d^2*e^2-15*a^2*e^4)-3*A*(c^3*d^6+_
     5*a*c^2*d^4*e^2+15*a^2*c*d^2*e^4-5*a^3*e^6))*atan(x*sqrt(c)/_
     sqrt(a))*sqrt(c)/(a^(5/2)*(c*d^2+a*e^2)^4)
--E 758
--S 759 of 1125
d0:=D(m0,x)
--E 759
)clear all
--S 760 of 1125
t0:=(-11+6*x)/((-1+2*x)*(-1+x^2))
--E 760
--S 761 of 1125
r0:=16/3*log(1-2*x)-5/2*log(1-x)-17/6*log(1+x)
--E 761
--S 762 of 1125
d0:=D(m0,x)
--E 762
)clear all
--S 763 of 1125
t0:=(5-x)*(3+2*x)^4*sqrt(2+3*x^2)
--E 763
--S 764 of 1125
r0:=8275/162*(2+3*x^2)^(3/2)+923/315*(3+2*x)^2*(2+3*x^2)^(3/2)+29/63*_
     (3+2*x)^3*(2+3*x^2)^(3/2)-1/21*(3+2*x)^4*(2+3*x^2)^(3/2)+1/270*_
     (4583+6132*x)*(2+3*x^2)^(3/2)+2341/9*asinh(x*sqrt(3/2))/sqrt(3)+_
     2341/18*x*sqrt(2+3*x^2)
--E 764
--S 765 of 1125
d0:=D(m0,x)
--E 765
--S 766 of 1125
t0:=x^2*(a*x^2+b*x^3+c*x^4)
--E 766

--S 767 of 1125
r0:=1/5*a*x^5+1/6*b*x^6+1/7*c*x^7
--E 767
--S 768 of 1125
d0:=D(m0,x)
--E 768
)clear all
--S 769 of 1125
t0:=x*(a*x^2+b*x^3+c*x^4)
--E 769
--S 770 of 1125
r0:=1/4*a*x^4+1/5*b*x^5+1/6*c*x^6
--E 770
--S 771 of 1125
d0:=D(m0,x)
--E 771
)clear all
--S 772 of 1125
t0:=a*x^2+b*x^3+c*x^4
--E 772
--S 773 of 1125
r0:=1/3*a*x^3+1/4*b*x^4+1/5*c*x^5
--E 773
--S 774 of 1125
d0:=D(m0,x)
--E 774
)clear all
--S 775 of 1125
t0:=(a*x^2+b*x^3+c*x^4)/x
--E 775
--S 776 of 1125
r0:=1/2*a*x^2+1/3*b*x^3+1/4*c*x^4
--E 776
--S 777 of 1125
d0:=D(m0,x)
--E 777

--S 778 of 1125
t0:=(a*x^2+b*x^3+c*x^4)/x^2
--E 778
--S 779 of 1125
r0:=a*x+1/2*b*x^2+1/3*c*x^3
--E 779
--S 780 of 1125
d0:=D(m0,x)
--E 780
)clear all
--S 781 of 1125
t0:=x^2*(a*x^2+b*x^3+c*x^4)^2
--E 781
--S 782 of 1125
r0:=1/7*a^2*x^7+1/4*a*b*x^8+1/9*(b^2+2*a*c)*x^9+1/5*b*c*x^10+1/11*c^2*x^11
--E 782
--S 783 of 1125
d0:=D(m0,x)
--E 783
)clear all
--S 784 of 1125
t0:=x*(a*x^2+b*x^3+c*x^4)^2
--E 784
--S 785 of 1125
r0:=1/6*a^2*x^6+2/7*a*b*x^7+1/8*(b^2+2*a*c)*x^8+2/9*b*c*x^9+1/10*c^2*x^10
--E 785
--S 786 of 1125
d0:=D(m0,x)
--E 786
)clear all
--S 787 of 1125
t0:=(a*x^2+b*x^3+c*x^4)^2
--E 787
--S 788 of 1125

r0:=1/5*a^2*x^5+1/3*a*b*x^6+1/7*(b^2+2*a*c)*x^7+1/4*b*c*x^8+1/9*c^2*x^9
--E 788
--S 789 of 1125
d0:=D(m0,x)
--E 789
)clear all
--S 790 of 1125
t0:=(a*x^2+b*x^3+c*x^4)^2/x
--E 790
--S 791 of 1125
r0:=1/4*a^2*x^4+2/5*a*b*x^5+1/6*(b^2+2*a*c)*x^6+2/7*b*c*x^7+1/8*c^2*x^8
--E 791
--S 792 of 1125
d0:=D(m0,x)
--E 792
)clear all
--S 793 of 1125
t0:=(a*x^2+b*x^3+c*x^4)^2/x^2
--E 793
--S 794 of 1125
r0:=1/3*a^2*x^3+1/2*a*b*x^4+1/5*(b^2+2*a*c)*x^5+1/3*b*c*x^6+1/7*c^2*x^7
--E 794
--S 795 of 1125
d0:=D(m0,x)
--E 795
)clear all
--S 796 of 1125
t0:=x^5/(a*x^2+b*x^3+c*x^4)
--E 796
--S 797 of 1125
r0:=-b*x/c^2+1/2*x^2/c+1/2*(b^2-a*c)*log(a+b*x+c*x^2)/c^3+b*(b^2-3*a*c)*_
   atanh((b+2*c*x)/sqrt(b^2-4*a*c))/(c^3*sqrt(b^2-4*a*c))
--E 797
--S 798 of 1125
d0:=D(m0a,x)
--E 798

--S 799 of 1125
t0:=x^4/(a*x^2+b*x^3+c*x^4)
--E 799
--S 800 of 1125
r0:=x/c-1/2*b*log(a+b*x+c*x^2)/c^2-(b^2-2*a*c)*atanh((b+2*c*x)/_
   sqrt(b^2-4*a*c))/(c^2*sqrt(b^2-4*a*c))
--E 800
--S 801 of 1125
d0:=D(m0a,x)
--E 801
)clear all
--S 802 of 1125
t0:=x^3/(a*x^2+b*x^3+c*x^4)
--E 802
--S 803 of 1125
r0:=1/2*log(a+b*x+c*x^2)/c+b*atanh((b+2*c*x)/sqrt(b^2-4*a*c))/_
   (c*sqrt(b^2-4*a*c))
--E 803
--S 804 of 1125
d0:=D(m0a,x)
--E 804
)clear all
--S 805 of 1125
t0:=x^2/(a*x^2+b*x^3+c*x^4)
--E 805
--S 806 of 1125
r0:=-2*atanh((b+2*c*x)/sqrt(b^2-4*a*c))/sqrt(b^2-4*a*c)
--E 806
--S 807 of 1125
d0:=D(m0a,x)
--E 807
)clear all
--S 808 of 1125
t0:=x/(a*x^2+b*x^3+c*x^4)
--E 808

--S 809 of 1125
r0:=log(x)/a-1/2*log(a+b*x+c*x^2)/a+b*atanh((b+2*c*x)/sqrt(b^2-4*a*c))/_
   (a*sqrt(b^2-4*a*c))
--E 809
--S 810 of 1125
d0:=D(m0a,x)
--E 810
)clear all
--S 811 of 1125
t0:=1/(a*x^2+b*x^3+c*x^4)
--E 811
--S 812 of 1125
r0:=(-1)/(a*x)-b*log(x)/a^2+1/2*b*log(a+b*x+c*x^2)/a^2-(b^2-2*a*c)*_
   atanh((b+2*c*x)/sqrt(b^2-4*a*c))/(a^2*sqrt(b^2-4*a*c))
--E 812
--S 813 of 1125
d0:=D(m0a,x)
--E 813
)clear all
--S 814 of 1125
t0:=1/(x*(a*x^2+b*x^3+c*x^4))
--E 814
--S 815 of 1125
r0:=(-1/2)/(a*x^2)+b/(a^2*x)+(b^2-a*c)*log(x)/a^3-1/2*(b^2-a*c)*_
   log(a+b*x+c*x^2)/a^3+b*(b^2-3*a*c)*atanh((b+2*c*x)/sqrt(b^2-4*a*c))/_
   (a^3*sqrt(b^2-4*a*c))
--E 815
--S 816 of 1125
d0:=D(m0a,x)
--E 816
)clear all
--S 817 of 1125
t0:=1/(x^2*(a*x^2+b*x^3+c*x^4))
--E 817
--S 818 of 1125
r0:=(-1/3)/(a*x^3)+1/2*b/(a^2*x^2)+(-b^2+a*c)/(a^3*x)-b*(b^2-2*a*c)*_
   log(x)/a^4+1/2*b*(b^2-2*a*c)*log(a+b*x+c*x^2)/a^4-(b^4-4*a*b^2*c+_
   2*a^2*c^2)*atanh((b+2*c*x)/sqrt(b^2-4*a*c))/(a^4*sqrt(b^2-4*a*c))

--E 818
--S 819 of 1125
d0:=D(m0a,x)
--E 819
)clear all
--S 820 of 1125
t0:=x^8/(a*x^2+b*x^3+c*x^4)^2
--E 820
--S 821 of 1125
r0:=2*(b^2-3*a*c)*x/(c^2*(b^2-4*a*c))-b*x^2/(c*(b^2-4*a*c))+_
   x^3*(2*a+b*x)/((b^2-4*a*c)*(a+b*x+c*x^2))-2*(b^4-6*a*b^2*c+6*a^2*c^2)*_
   atanh((b+2*c*x)/sqrt(b^2-4*a*c))/(c^3*(b^2-4*a*c)^(3/2))-_
   b*log(a+b*x+c*x^2)/c^3
--E 821
--S 822 of 1125
d0:=D(m0a,x)
--E 822
)clear all
--S 823 of 1125
t0:=x^7/(a*x^2+b*x^3+c*x^4)^2
--E 823
--S 824 of 1125
r0:=-b*x/(c*(b^2-4*a*c))+x^2*(2*a+b*x)/((b^2-4*a*c)*(a+b*x+c*x^2))+_
   b*(b^2-6*a*c)*atanh((b+2*c*x)/sqrt(b^2-4*a*c))/(c^2*(b^2-_
   4*a*c)^(3/2))+1/2*log(a+b*x+c*x^2)/c^2
--E 824
--S 825 of 1125
d0:=D(m0a,x)
--E 825
)clear all
--S 826 of 1125
t0:=x^6/(a*x^2+b*x^3+c*x^4)^2
--E 826
--S 827 of 1125
r0:=x*(2*a+b*x)/((b^2-4*a*c)*(a+b*x+c*x^2))+4*a*atanh((b+2*c*x)/_
   sqrt(b^2-4*a*c))/(b^2-4*a*c)^(3/2)
--E 827

--S 828 of 1125
d0:=D(m0a,x)
--E 828
)clear all
--S 829 of 1125
t0:=x^5/(a*x^2+b*x^3+c*x^4)^2
--E 829
--S 830 of 1125
r0:=(2*a+b*x)/((b^2-4*a*c)*(a+b*x+c*x^2))-2*b*atanh((b+2*c*x)/_
   sqrt(b^2-4*a*c))/(b^2-4*a*c)^(3/2)
--E 830
--S 831 of 1125
d0:=D(m0a,x)
--E 831
)clear all
--S 832 of 1125
t0:=x^4/(a*x^2+b*x^3+c*x^4)^2
--E 832
--S 833 of 1125
r0:=(-b-2*c*x)/((b^2-4*a*c)*(a+b*x+c*x^2))+4*c*atanh((b+2*c*x)/_
   sqrt(b^2-4*a*c))/(b^2-4*a*c)^(3/2)
--E 833
--S 834 of 1125
d0:=D(m0a,x)
--E 834
)clear all
--S 835 of 1125
t0:=x^3/(a*x^2+b*x^3+c*x^4)^2
--E 835
--S 836 of 1125
r0:=(b^2-2*a*c+b*c*x)/(a*(b^2-4*a*c)*(a+b*x+c*x^2))+b*(b^2-6*a*c)*_
   atanh((b+2*c*x)/sqrt(b^2-4*a*c))/(a^2*(b^2-4*a*c)^(3/2))+log(x)/a^2-_
   1/2*log(a+b*x+c*x^2)/a^2
--E 836
--S 837 of 1125
d0:=D(m0a,x)
--E 837

--S 838 of 1125
t0:=x^2/(a*x^2+b*x^3+c*x^4)^2
--E 838
--S 839 of 1125
r0:=-2*(b^2-3*a*c)/(a^2*(b^2-4*a*c)*x)+(b^2-2*a*c+b*c*x)/(a*(b^2-4*a*c)*_
   x*(a+b*x+c*x^2))-2*(b^4-6*a*b^2*c+6*a^2*c^2)*atanh((b+2*c*x)/_
   sqrt(b^2-4*a*c))/(a^3*(b^2-4*a*c)^(3/2))-2*b*log(x)/a^3+_
   b*log(a+b*x+c*x^2)/a^3
--E 839
--S 840 of 1125
d0:=D(m0a,x)
--E 840
)clear all
--S 841 of 1125
t0:=x/(a*x^2+b*x^3+c*x^4)^2
--E 841
--S 842 of 1125
r0:=1/2*(-3*b^2+8*a*c)/(a^2*(b^2-4*a*c)*x^2)+b*(3*b^2-11*a*c)/(a^3*_
   (b^2-4*a*c)*x)+(b^2-2*a*c+b*c*x)/(a*(b^2-4*a*c)*x^2*(a+b*x+c*x^2))+_
   b*(3*b^4-20*a*b^2*c+30*a^2*c^2)*atanh((b+2*c*x)/sqrt(b^2-4*a*c))/_
   (a^4*(b^2-4*a*c)^(3/2))+(3*b^2-2*a*c)*log(x)/a^4-1/2*(3*b^2-2*a*c)*_
   log(a+b*x+c*x^2)/a^4
--E 842
--S 843 of 1125
d0:=D(m0a,x)
--E 843
)clear all
--S 844 of 1125
t0:=1/(a*x^2+b*x^3+c*x^4)^2
--E 844
--S 845 of 1125
r0:=-2/3*(2*b^2-5*a*c)/(a^2*(b^2-4*a*c)*x^3)+b*(2*b^2-7*a*c)/(a^3*_
   (b^2-4*a*c)*x^2)-2*(2*b^4-9*a*b^2*c+5*a^2*c^2)/(a^4*(b^2-4*a*c)*x)+_
   (b^2-2*a*c+b*c*x)/(a*(b^2-4*a*c)*x^3*(a+b*x+c*x^2))-2*(2*b^6-_
   15*a*b^4*c+30*a^2*b^2*c^2-10*a^3*c^3)*atanh((b+2*c*x)/sqrt(b^2-4*a*c))/_
   (a^5*(b^2-4*a*c)^(3/2))-2*b*(2*b^2-3*a*c)*log(x)/a^5+b*(2*b^2-3*a*c)*_
   log(a+b*x+c*x^2)/a^5
--E 845

)clear all
--S 847 of 1125
t0:=1/(x*(a*x^2+b*x^3+c*x^4)^2)
--E 847
--S 848 of 1125
r0:=1/4*(-5*b^2+12*a*c)/(a^2*(b^2-4*a*c)*x^4)+1/3*b*(5*b^2-17*a*c)/_
   (a^3*(b^2-4*a*c)*x^3)+1/2*(-5*b^4+22*a*b^2*c-12*a^2*c^2)/(a^4*_
   (b^2-4*a*c)*x^2)+b*(5*b^4-27*a*b^2*c+29*a^2*c^2)/(a^5*(b^2-4*a*c)*x)+_
   (b^2-2*a*c+b*c*x)/(a*(b^2-4*a*c)*x^4*(a+b*x+c*x^2))+b*(5*b^6-_
   42*a*b^4*c+105*a^2*b^2*c^2-70*a^3*c^3)*atanh((b+2*c*x)/sqrt(b^2-_
   4*a*c))/(a^6*(b^2-4*a*c)^(3/2))+(5*b^4-12*a*b^2*c+3*a^2*c^2)*log(x)/a^6-_
   1/2*(5*b^4-12*a*b^2*c+3*a^2*c^2)*log(a+b*x+c*x^2)/a^6
--E 848
--S 849 of 1125
d0:=D(m0a,x)
--E 849
)clear all
--S 850 of 1125
t0:=x^2*sqrt(a*x^2+b*x^3+c*x^4)
--E 850
--S 851 of 1125
r0:=1/256*b*(7*b^2-12*a*c)*(b^2-4*a*c)*x*atanh(1/2*(b+2*c*x)/(sqrt(c)*_
   sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/(c^(9/2)*sqrt(a*x^2+b*x^3+c*x^4))+_
   1/960*b*(35*b^2-116*a*c)*sqrt(a*x^2+b*x^3+c*x^4)/c^3-1/1920*(105*b^4-_
   460*a*b^2*c+256*a^2*c^2)*sqrt(a*x^2+b*x^3+c*x^4)/(c^4*x)-1/240*(7*b^2-_
   16*a*c)*x*sqrt(a*x^2+b*x^3+c*x^4)/c^2+1/40*x^2*(b+8*c*x)*_
   sqrt(a*x^2+b*x^3+c*x^4)/c
--E 851
--S 852 of 1125
d0:=D(m0a,x)
--E 852
)clear all
--S 853 of 1125
t0:=x*sqrt(a*x^2+b*x^3+c*x^4)
--E 853
--S 854 of 1125

r0:=-1/128*(b^2-4*a*c)*(5*b^2-4*a*c)*x*atanh(1/2*(b+2*c*x)/(sqrt(c)*_
   sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/(c^(7/2)*sqrt(a*x^2+b*x^3+c*x^4))-_
   1/96*(5*b^2-12*a*c)*sqrt(a*x^2+b*x^3+c*x^4)/c^2+1/192*b*(15*b^2-52*a*c)*_
   sqrt(a*x^2+b*x^3+c*x^4)/(c^3*x)+1/24*x*(b+6*c*x)*sqrt(a*x^2+b*x^3+c*x^4)/c
--E 854
--S 855 of 1125
d0:=D(m0a,x)
--E 855
)clear all
--S 856 of 1125
t0:=sqrt(a*x^2+b*x^3+c*x^4)
--E 856
--S 857 of 1125
r0:=-1/8*b*(b+2*c*x)*sqrt(a*x^2+b*x^3+c*x^4)/(c^2*x)+1/3*(a+b*x+c*x^2)*_
   sqrt(a*x^2+b*x^3+c*x^4)/(c*x)+1/16*b*(b^2-4*a*c)*atanh(1/2*(b+2*c*x)/_
   (sqrt(c)*sqrt(a+b*x+c*x^2)))*sqrt(a*x^2+b*x^3+c*x^4)/(c^(5/2)*_
   x*sqrt(a+b*x+c*x^2))
--E 857
--S 858 of 1125
d0:=D(m0a,x)
--E 858
)clear all
--S 859 of 1125
t0:=sqrt(a*x^2+b*x^3+c*x^4)/x
--E 859
--S 860 of 1125
r0:=-1/8*(b^2-4*a*c)*x*atanh(1/2*(b+2*c*x)/(sqrt(c)*sqrt(a+b*x+c*x^2)))*_
   sqrt(a+b*x+c*x^2)/(c^(3/2)*sqrt(a*x^2+b*x^3+c*x^4))+1/4*(b+2*c*x)*_
   sqrt(a*x^2+b*x^3+c*x^4)/(c*x)
--E 860
--S 861 of 1125
d0:=D(m0a,x)
--E 861
)clear all
--S 862 of 1125
t0:=sqrt(a*x^2+b*x^3+c*x^4)/x^2
--E 862
--S 863 of 1125

r0:=-x*atanh(1/2*(2*a+b*x)/(sqrt(a)*sqrt(a+b*x+c*x^2)))*sqrt(a)*_
   sqrt(a+b*x+c*x^2)/sqrt(a*x^2+b*x^3+c*x^4)+1/2*b*x*atanh(1/2*(b+2*c*x)/_
   (sqrt(c)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/(sqrt(c)*sqrt(a*x^2+_
   b*x^3+c*x^4))+sqrt(a*x^2+b*x^3+c*x^4)/x
--E 863
--S 864 of 1125
d0:=D(m0a,x)
--E 864
)clear all
--S 865 of 1125
t0:=sqrt(a*x^2+b*x^3+c*x^4)/x^3
--E 865
--S 866 of 1125
r0:=-1/2*b*x*atanh(1/2*(2*a+b*x)/(sqrt(a)*sqrt(a+b*x+c*x^2)))*_
   sqrt(a+b*x+c*x^2)/(sqrt(a)*sqrt(a*x^2+b*x^3+c*x^4))+x*atanh(1/2*_
   (b+2*c*x)/(sqrt(c)*sqrt(a+b*x+c*x^2)))*sqrt(c)*sqrt(a+b*x+c*x^2)/_
   sqrt(a*x^2+b*x^3+c*x^4)-sqrt(a*x^2+b*x^3+c*x^4)/x^2
--E 866
--S 867 of 1125
d0:=D(m0a,x)
--E 867
)clear all
--S 868 of 1125
t0:=sqrt(a*x^2+b*x^3+c*x^4)/x^4
--E 868
--S 869 of 1125
r0:=1/8*(b^2-4*a*c)*x*atanh(1/2*(2*a+b*x)/(sqrt(a)*sqrt(a+b*x+c*x^2)))*_
   sqrt(a+b*x+c*x^2)/(a^(3/2)*sqrt(a*x^2+b*x^3+c*x^4))-1/2*sqrt(a*x^2+_
   b*x^3+c*x^4)/x^3-1/4*b*sqrt(a*x^2+b*x^3+c*x^4)/(a*x^2)
--E 869
--S 870 of 1125
d0:=D(m0,x)
--E 870
)clear all
--S 871 of 1125
t0:=sqrt(a*x^2+b*x^3+c*x^4)/x^5
--E 871
--S 872 of 1125

r0:=-1/16*b*(b^2-4*a*c)*x*atanh(1/2*(2*a+b*x)/(sqrt(a)*sqrt(a+b*x+c*x^2)))*_
   sqrt(a+b*x+c*x^2)/(a^(5/2)*sqrt(a*x^2+b*x^3+c*x^4))-1/3*sqrt(a*x^2+_
   b*x^3+c*x^4)/x^4-1/12*b*sqrt(a*x^2+b*x^3+c*x^4)/(a*x^3)+1/24*(3*b^2-_
   8*a*c)*sqrt(a*x^2+b*x^3+c*x^4)/(a^2*x^2)
--E 872
--S 873 of 1125
d0:=D(m0,x)
--E 873
)clear all
--S 874 of 1125
t0:=sqrt(a*x^2+b*x^3+c*x^4)/x^6
--E 874
--S 875 of 1125
r0:=1/128*(b^2-4*a*c)*(5*b^2-4*a*c)*x*atanh(1/2*(2*a+b*x)/(sqrt(a)*_
   sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/(a^(7/2)*sqrt(a*x^2+b*x^3+_
   c*x^4))-1/4*sqrt(a*x^2+b*x^3+c*x^4)/x^5-1/24*b*sqrt(a*x^2+b*x^3+_
   c*x^4)/(a*x^4)+1/96*(5*b^2-12*a*c)*sqrt(a*x^2+b*x^3+c*x^4)/(a^2*x^3)-_
   1/192*b*(15*b^2-52*a*c)*sqrt(a*x^2+b*x^3+c*x^4)/(a^3*x^2)
--E 875
--S 876 of 1125
d0:=D(m0,x)
--E 876
)clear all
--S 877 of 1125
t0:=x*(a*x^2+b*x^3+c*x^4)^(3/2)
--E 877
--S 878 of 1125
r0:=1/112*x*(3*b+14*c*x)*(a*x^2+b*x^3+c*x^4)^(3/2)/c+3/32768*(b^2-4*a*c)^2*_
   (33*b^4-72*a*b^2*c+16*a^2*c^2)*x*atanh(1/2*(b+2*c*x)/(sqrt(c)*_
   sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/(c^(13/2)*sqrt(a*x^2+b*x^3+c*x^4))+_
   1/286720*(1155*b^6-8988*a*b^4*c+18896*a^2*b^2*c^2-6720*a^3*c^3)*_
   sqrt(a*x^2+b*x^3+c*x^4)/c^5-1/573440*b*(3465*b^6-30660*a*b^4*c+81648*_
   a^2*b^2*c^2-58816*a^3*c^3)*sqrt(a*x^2+b*x^3+c*x^4)/(c^6*x)-_
   1/71680*b*(231*b^4-1560*a*b^2*c+2416*a^2*c^2)*x*sqrt(a*x^2+b*x^3+_
   c*x^4)/c^4+1/35840*(99*b^4-568*a*b^2*c+560*a^2*c^2)*x^2*sqrt(a*x^2+_
   b*x^3+c*x^4)/c^3-1/4480*x^3*(b*(11*b^2+68*a*c)+10*c*(11*b^2-28*a*c)*_
   x)*sqrt(a*x^2+b*x^3+c*x^4)/c^2
--E 878
--S 879 of 1125
d0:=D(m0,x)
--E 879

--S 880 of 1125
t0:=(a*x^2+b*x^3+c*x^4)^(3/2)
--E 880
--S 881 of 1125
r0:=1/7*x*(a*x^2+b*x^3+c*x^4)^(3/2)-3/2048*b*(b^2-4*a*c)^2*(3*b^2-4*a*c)*_
   x*atanh(1/2*(b+2*c*x)/(sqrt(c)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/_
   (c^(11/2)*sqrt(a*x^2+b*x^3+c*x^4))-1/17920*b*(105*b^4-728*a*b^2*c+_
   1168*a^2*c^2)*sqrt(a*x^2+b*x^3+c*x^4)/c^4+1/35840*(315*b^6-2520*a*b^4*c+_
   5488*a^2*b^2*c^2-2048*a^3*c^3)*sqrt(a*x^2+b*x^3+c*x^4)/(c^5*x)+_
   1/4480*(7*b^2-32*a*c)*(3*b^2-4*a*c)*x*sqrt(a*x^2+b*x^3+c*x^4)/c^3-_
   1/2240*b*(9*b^2-44*a*c)*x^2*sqrt(a*x^2+b*x^3+c*x^4)/c^2+1/280*x^3*_
   (b^2+24*a*c+10*b*c*x)*sqrt(a*x^2+b*x^3+c*x^4)/c
--E 881
--S 882 of 1125
d0:=D(m0a,x)
--E 882
)clear all
--S 883 of 1125
t0:=(a*x^2+b*x^3+c*x^4)^(3/2)/x
--E 883
--S 884 of 1125
r0:=1/60*(3*b+10*c*x)*(a*x^2+b*x^3+c*x^4)^(3/2)/(c*x)+1/1024*(b^2-4*a*c)^2*_
   (7*b^2-4*a*c)*x*atanh(1/2*(b+2*c*x)/(sqrt(c)*sqrt(a+b*x+c*x^2)))*_
   sqrt(a+b*x+c*x^2)/(c^(9/2)*sqrt(a*x^2+b*x^3+c*x^4))+1/3840*(35*b^4-_
   216*a*b^2*c+240*a^2*c^2)*sqrt(a*x^2+b*x^3+c*x^4)/c^3-1/7680*b*(105*b^4-_
   760*a*b^2*c+1296*a^2*c^2)*sqrt(a*x^2+b*x^3+c*x^4)/(c^4*x)-1/960*x*_
   (b*(7*b^2+12*a*c)+6*c*(7*b^2-20*a*c)*x)*sqrt(a*x^2+b*x^3+c*x^4)/c^2
--E 884
--S 885 of 1125
d0:=D(m0a,x)
--E 885
)clear all
--S 886 of 1125
t0:=(a*x^2+b*x^3+c*x^4)^(3/2)/x^2
--E 886
--S 887 of 1125
r0:=-1/16*b*(b+2*c*x)*(a*x^2+b*x^3+c*x^4)^(3/2)/(c^2*x^3)+1/5*(a*x^2+b*x^3+_
   c*x^4)^(5/2)/(c*x^5)-3/256*b*(b^2-4*a*c)^2*x*atanh(1/2*(b+2*c*x)/_

   (sqrt(c)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/(c^(7/2)*sqrt(a*x^2+b*_
   x^3+c*x^4))+3/128*b*(b^2-4*a*c)*(b+2*c*x)*sqrt(a*x^2+b*x^3+c*x^4)/(c^3*x)
--E 887
--S 888 of 1125
d0:=D(m0a,x)
--E 888
)clear all
--S 889 of 1125
t0:=(a*x^2+b*x^3+c*x^4)^(3/2)/x^3
--E 889
--S 890 of 1125
r0:=1/8*(b+2*c*x)*(a*x^2+b*x^3+c*x^4)^(3/2)/(c*x^3)+3/128*(b^2-4*a*c)^2*x*_
   atanh(1/2*(b+2*c*x)/(sqrt(c)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/_
   (c^(5/2)*sqrt(a*x^2+b*x^3+c*x^4))-3/64*(b^2-4*a*c)*(b+2*c*x)*_
   sqrt(a*x^2+b*x^3+c*x^4)/(c^2*x)
--E 890
--S 891 of 1125
d0:=D(m0a,x)
--E 891
)clear all
--S 892 of 1125
t0:=(a*x^2+b*x^3+c*x^4)^(3/2)/x^4
--E 892
--S 893 of 1125
r0:=1/3*(a*x^2+b*x^3+c*x^4)^(3/2)/x^3-a^(3/2)*x*atanh(1/2*(2*a+b*x)/_
   (sqrt(a)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/sqrt(a*x^2+b*x^3+c*x^4)-_
   1/16*b*(b^2-12*a*c)*x*atanh(1/2*(b+2*c*x)/(sqrt(c)*sqrt(a+b*x+c*x^2)))*_
   sqrt(a+b*x+c*x^2)/(c^(3/2)*sqrt(a*x^2+b*x^3+c*x^4))+1/8*(b^2+8*a*c+_
   2*b*c*x)*sqrt(a*x^2+b*x^3+c*x^4)/(c*x)
--E 893
--S 894 of 1125
d0:=D(m0a,x)
--E 894
)clear all
--S 895 of 1125
t0:=(a*x^2+b*x^3+c*x^4)^(3/2)/x^5
--E 895
--S 896 of 1125

r0:=-(a*x^2+b*x^3+c*x^4)^(3/2)/x^4-3/2*b*x*atanh(1/2*(2*a+b*x)/(sqrt(a)*_
   sqrt(a+b*x+c*x^2)))*sqrt(a)*sqrt(a+b*x+c*x^2)/sqrt(a*x^2+b*x^3+c*x^4)+_
   3/8*(b^2+4*a*c)*x*atanh(1/2*(b+2*c*x)/(sqrt(c)*sqrt(a+b*x+c*x^2)))*_
   sqrt(a+b*x+c*x^2)/(sqrt(c)*sqrt(a*x^2+b*x^3+c*x^4))+3/4*(3*b+2*c*x)*_
   sqrt(a*x^2+b*x^3+c*x^4)/x
--E 896
--S 897 of 1125
d0:=D(m0a,x)
--E 897
)clear all
--S 898 of 1125
t0:=(a*x^2+b*x^3+c*x^4)^(3/2)/x^6
--E 898
--S 899 of 1125
r0:=-1/2*(a*x^2+b*x^3+c*x^4)^(3/2)/x^5-3/8*(b^2+4*a*c)*x*atanh(1/2*_
   (2*a+b*x)/(sqrt(a)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/(sqrt(a)*_
   sqrt(a*x^2+b*x^3+c*x^4))+3/2*b*x*atanh(1/2*(b+2*c*x)/(sqrt(c)*sqrt(a+_
   b*x+c*x^2)))*sqrt(c)*sqrt(a+b*x+c*x^2)/sqrt(a*x^2+b*x^3+c*x^4)-_
   3/4*(b-2*c*x)*sqrt(a*x^2+b*x^3+c*x^4)/x^2
--E 899
--S 900 of 1125
d0:=D(m0a,x)
--E 900
)clear all
--S 901 of 1125
t0:=(a*x^2+b*x^3+c*x^4)^(3/2)/x^7
--E 901
--S 902 of 1125
r0:=-1/3*(a*x^2+b*x^3+c*x^4)^(3/2)/x^6-1/4*b*(a*x^2+b*x^3+c*x^4)^(3/2)/_
   (a*x^5)+1/16*b*(b^2-12*a*c)*x*atanh(1/2*(2*a+b*x)/(sqrt(a)*sqrt(a+_
   b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/(a^(3/2)*sqrt(a*x^2+b*x^3+c*x^4))+_
   c^(3/2)*x*atanh(1/2*(b+2*c*x)/(sqrt(c)*sqrt(a+b*x+c*x^2)))*sqrt(a+_
   b*x+c*x^2)/sqrt(a*x^2+b*x^3+c*x^4)+1/8*(b^2-8*a*c+2*b*c*x)*_
   sqrt(a*x^2+b*x^3+c*x^4)/(a*x^2)
--E 902
--S 903 of 1125
d0:=D(m0a,x)
--E 903
)clear all

--S 904 of 1125
t0:=(a*x^2+b*x^3+c*x^4)^(3/2)/x^8
--E 904
--S 905 of 1125
r0:=-1/4*(a*x^2+b*x^3+c*x^4)^(3/2)/x^7-3/128*(b^2-4*a*c)^2*x*atanh(1/2*_
   (2*a+b*x)/(sqrt(a)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/(a^(5/2)*_
   sqrt(a*x^2+b*x^3+c*x^4))-1/32*(b^2-12*a*c)*sqrt(a*x^2+b*x^3+c*x^4)/_
   (a*x^3)+1/64*b*(3*b^2-20*a*c)*sqrt(a*x^2+b*x^3+c*x^4)/(a^2*x^2)-_
   1/8*(b+6*c*x)*sqrt(a*x^2+b*x^3+c*x^4)/x^4
--E 905
--S 906 of 1125
d0:=D(m0,x)
--E 906
)clear all
--S 907 of 1125
t0:=(a*x^2+b*x^3+c*x^4)^(3/2)/x^9
--E 907
--S 908 of 1125
r0:=-1/5*(a*x^2+b*x^3+c*x^4)^(3/2)/x^8+3/256*b*(b^2-4*a*c)^2*x*_
   atanh(1/2*(2*a+b*x)/(sqrt(a)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/_
   (a^(7/2)*sqrt(a*x^2+b*x^3+c*x^4))-1/80*(b^2-8*a*c)*sqrt(a*x^2+b*x^3+_
   c*x^4)/(a*x^4)+1/320*b*(5*b^2-28*a*c)*sqrt(a*x^2+b*x^3+c*x^4)/(a^2*x^3)-_
   1/640*(15*b^4-100*a*b^2*c+128*a^2*c^2)*sqrt(a*x^2+b*x^3+c*x^4)/_
   (a^3*x^2)-3/40*(b+4*c*x)*sqrt(a*x^2+b*x^3+c*x^4)/x^5
--E 908
--S 909 of 1125
d0:=D(m0,x)
--E 909
)clear all
--S 910 of 1125
t0:=x^3/sqrt(a*x^2+b*x^3+c*x^4)
--E 910
--S 911 of 1125
r0:=1/8*(3*b^2-4*a*c)*x*atanh(1/2*(b+2*c*x)/(sqrt(c)*sqrt(a+b*x+c*x^2)))*_
   sqrt(a+b*x+c*x^2)/(c^(5/2)*sqrt(a*x^2+b*x^3+c*x^4))+1/2*sqrt(a*x^2+_
   b*x^3+c*x^4)/c-3/4*b*sqrt(a*x^2+b*x^3+c*x^4)/(c^2*x)
--E 911
--S 912 of 1125
d0:=D(m0a,x)
--E 912

--S 913 of 1125
t0:=x^2/sqrt(a*x^2+b*x^3+c*x^4)
--E 913
--S 914 of 1125
r0:=-1/2*b*x*atanh(1/2*(b+2*c*x)/(sqrt(c)*sqrt(a+b*x+c*x^2)))*_
   sqrt(a+b*x+c*x^2)/(c^(3/2)*sqrt(a*x^2+b*x^3+c*x^4))+_
   sqrt(a*x^2+b*x^3+c*x^4)/(c*x)
--E 914
--S 915 of 1125
d0:=D(m0a,x)
--E 915
)clear all
--S 916 of 1125
t0:=x/sqrt(a*x^2+b*x^3+c*x^4)
--E 916
--S 917 of 1125
r0:=x*atanh(1/2*(b+2*c*x)/(sqrt(c)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/_
   (sqrt(c)*sqrt(a*x^2+b*x^3+c*x^4))
--E 917
--S 918 of 1125
d0:=D(m0a,x)
--E 918
)clear all
--S 919 of 1125
t0:=1/sqrt(a*x^2+b*x^3+c*x^4)
--E 919
--S 920 of 1125
r0:=-x*atanh(1/2*(2*a+b*x)/(sqrt(a)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/_
   (sqrt(a)*sqrt(a*x^2+b*x^3+c*x^4))
--E 920
--S 921 of 1125
d0:=D(m0,x)
--E 921
)clear all
--S 922 of 1125

t0:=1/(x*sqrt(a*x^2+b*x^3+c*x^4))
--E 922
--S 923 of 1125
r0:=1/2*b*x*atanh(1/2*(2*a+b*x)/(sqrt(a)*sqrt(a+b*x+c*x^2)))*_
   sqrt(a+b*x+c*x^2)/(a^(3/2)*sqrt(a*x^2+b*x^3+c*x^4))-_
   sqrt(a*x^2+b*x^3+c*x^4)/(a*x^2)
--E 923
--S 924 of 1125
d0:=D(m0,x)
--E 924
)clear all
--S 925 of 1125
t0:=1/(x^2*sqrt(a*x^2+b*x^3+c*x^4))
--E 925
--S 926 of 1125
r0:=-1/8*(3*b^2-4*a*c)*x*atanh(1/2*(2*a+b*x)/(sqrt(a)*sqrt(a+b*x+c*x^2)))*_
   sqrt(a+b*x+c*x^2)/(a^(5/2)*sqrt(a*x^2+b*x^3+c*x^4))-_
   1/2*sqrt(a*x^2+b*x^3+c*x^4)/(a*x^3)+3/4*b*sqrt(a*x^2+b*x^3+c*x^4)/(a^2*x^2)
--E 926
--S 927 of 1125
d0:=D(m0,x)
--E 927
)clear all
--S 928 of 1125
t0:=x^7/(a*x^2+b*x^3+c*x^4)^(3/2)
--E 928
--S 929 of 1125
r0:=2*x^4*(2*a+b*x)/((b^2-4*a*c)*sqrt(a*x^2+b*x^3+c*x^4))+3/8*(5*b^2-4*a*c)*_
   x*atanh(1/2*(b+2*c*x)/(sqrt(c)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/_
   (c^(7/2)*sqrt(a*x^2+b*x^3+c*x^4))+1/2*(5*b^2-12*a*c)*sqrt(a*x^2+_
   b*x^3+c*x^4)/(c^2*(b^2-4*a*c))-1/4*b*(15*b^2-52*a*c)*sqrt(a*x^2+_
   b*x^3+c*x^4)/(c^3*(b^2-4*a*c)*x)-2*b*x*sqrt(a*x^2+b*x^3+c*x^4)/_
   (c*(b^2-4*a*c))
--E 929
--S 930 of 1125
d0:=D(m0a,x)
--E 930
)clear all

--S 931 of 1125
t0:=x^6/(a*x^2+b*x^3+c*x^4)^(3/2)
--E 931
--S 932 of 1125
r0:=2*x^3*(2*a+b*x)/((b^2-4*a*c)*sqrt(a*x^2+b*x^3+c*x^4))-3/2*b*x*_
   atanh(1/2*(b+2*c*x)/(sqrt(c)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/_
   (c^(5/2)*sqrt(a*x^2+b*x^3+c*x^4))-2*b*sqrt(a*x^2+b*x^3+c*x^4)/_
   (c*(b^2-4*a*c))+(3*b^2-8*a*c)*sqrt(a*x^2+b*x^3+c*x^4)/(c^2*(b^2-4*a*c)*x)
--E 932
--S 933 of 1125
d0:=D(m0a,x)
--E 933
)clear all
--S 934 of 1125
t0:=x^5/(a*x^2+b*x^3+c*x^4)^(3/2)
--E 934
--S 935 of 1125
r0:=2*x^2*(2*a+b*x)/((b^2-4*a*c)*sqrt(a*x^2+b*x^3+c*x^4))+_
   x*atanh(1/2*(b+2*c*x)/(sqrt(c)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/_
   (c^(3/2)*sqrt(a*x^2+b*x^3+c*x^4))-2*b*sqrt(a*x^2+b*x^3+c*x^4)/_
   (c*(b^2-4*a*c)*x)
--E 935
--S 936 of 1125
d0:=D(m0a,x)
--E 936
)clear all
--S 937 of 1125
t0:=x^4/(a*x^2+b*x^3+c*x^4)^(3/2)
--E 937
--S 938 of 1125
r0:=2*x*(2*a+b*x)/((b^2-4*a*c)*sqrt(a*x^2+b*x^3+c*x^4))
--E 938
--S 939 of 1125
d0:=D(m0,x)
--E 939
)clear all
--S 940 of 1125
t0:=x^3/(a*x^2+b*x^3+c*x^4)^(3/2)

--E 940
--S 941 of 1125
r0:=-2*x*(b+2*c*x)/((b^2-4*a*c)*sqrt(a*x^2+b*x^3+c*x^4))
--E 941
--S 942 of 1125
d0:=D(m0,x)
--E 942
)clear all
--S 943 of 1125
t0:=x^2/(a*x^2+b*x^3+c*x^4)^(3/2)
--E 943
--S 944 of 1125
r0:=2*x*(b^2-2*a*c+b*c*x)/(a*(b^2-4*a*c)*sqrt(a*x^2+b*x^3+c*x^4))-_
   x*atanh(1/2*(2*a+b*x)/(sqrt(a)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/_
   (a^(3/2)*sqrt(a*x^2+b*x^3+c*x^4))
--E 944
--S 945 of 1125
d0:=D(m0,x)
--E 945
)clear all
--S 946 of 1125
t0:=x/(a*x^2+b*x^3+c*x^4)^(3/2)
--E 946
--S 947 of 1125
r0:=2*(b^2-2*a*c+b*c*x)/(a*(b^2-4*a*c)*sqrt(a*x^2+b*x^3+c*x^4))+_
   3/2*b*x*atanh(1/2*(2*a+b*x)/(sqrt(a)*sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+_
   c*x^2)/(a^(5/2)*sqrt(a*x^2+b*x^3+c*x^4))-(3*b^2-8*a*c)*sqrt(a*x^2+_
   b*x^3+c*x^4)/(a^2*(b^2-4*a*c)*x^2)
--E 947
--S 948 of 1125
d0:=D(m0,x)
--E 948
)clear all
--S 949 of 1125
t0:=1/(a*x^2+b*x^3+c*x^4)^(3/2)
--E 949
--S 950 of 1125

r0:=2*(b^2-2*a*c+b*c*x)/(a*(b^2-4*a*c)*x*sqrt(a*x^2+b*x^3+c*x^4))-_
   3/8*(5*b^2-4*a*c)*x*atanh(1/2*(2*a+b*x)/(sqrt(a)*sqrt(a+b*x+c*x^2)))*_
   sqrt(a+b*x+c*x^2)/(a^(7/2)*sqrt(a*x^2+b*x^3+c*x^4))-1/2*(5*b^2-12*a*c)*_
   sqrt(a*x^2+b*x^3+c*x^4)/(a^2*(b^2-4*a*c)*x^3)+1/4*b*(15*b^2-52*a*c)*_
   sqrt(a*x^2+b*x^3+c*x^4)/(a^3*(b^2-4*a*c)*x^2)
--E 950
--S 951 of 1125
d0:=D(m0,x)
--E 951
)clear all
--S 952 of 1125
t0:=1/(x*(a*x^2+b*x^3+c*x^4)^(3/2))
--E 952
--S 953 of 1125
r0:=2*(b^2-2*a*c+b*c*x)/(a*(b^2-4*a*c)*x^2*sqrt(a*x^2+b*x^3+c*x^4))+_
   5/16*b*(7*b^2-12*a*c)*x*atanh(1/2*(2*a+b*x)/(sqrt(a)*sqrt(a+b*x+c*x^2)))*_
   sqrt(a+b*x+c*x^2)/(a^(9/2)*sqrt(a*x^2+b*x^3+c*x^4))-1/3*(7*b^2-16*a*c)*_
   sqrt(a*x^2+b*x^3+c*x^4)/(a^2*(b^2-4*a*c)*x^4)+1/12*b*(35*b^2-116*a*c)*_
   sqrt(a*x^2+b*x^3+c*x^4)/(a^3*(b^2-4*a*c)*x^3)-1/24*(105*b^4-_
   460*a*b^2*c+256*a^2*c^2)*sqrt(a*x^2+b*x^3+c*x^4)/(a^4*(b^2-4*a*c)*x^2)
--E 953
--S 954 of 1125
d0:=D(m0,x)
--E 954
)clear all
--S 955 of 1125
t0:=1/(x^2*(a*x^2+b*x^3+c*x^4)^(3/2))
--E 955
--S 956 of 1125
r0:=2*(b^2-2*a*c+b*c*x)/(a*(b^2-4*a*c)*x^3*sqrt(a*x^2+b*x^3+c*x^4))-_
   15/128*(21*b^4-56*a*b^2*c+16*a^2*c^2)*x*atanh(1/2*(2*a+b*x)/(sqrt(a)*_
   sqrt(a+b*x+c*x^2)))*sqrt(a+b*x+c*x^2)/(a^(11/2)*sqrt(a*x^2+b*x^3+c*x^4))-_
   1/4*(9*b^2-20*a*c)*sqrt(a*x^2+b*x^3+c*x^4)/(a^2*(b^2-4*a*c)*x^5)+_
   1/8*b*(21*b^2-68*a*c)*sqrt(a*x^2+b*x^3+c*x^4)/(a^3*(b^2-4*a*c)*x^4)-_
   1/32*(105*b^4-448*a*b^2*c+240*a^2*c^2)*sqrt(a*x^2+b*x^3+c*x^4)/(a^4*_
   (b^2-4*a*c)*x^3)+1/64*b*(315*b^4-1680*a*b^2*c+1808*a^2*c^2)*_
   sqrt(a*x^2+b*x^3+c*x^4)/(a^5*(b^2-4*a*c)*x^2)
--E 956
--S 957 of 1125
d0:=D(m0,x)
--E 957

--S 958 of 1125
t0:=x^m*(a*x+b*x^3+c*x^5)
--E 958
--S 959 of 1125
r0:=a*x^(2+m)/(2+m)+b*x^(4+m)/(4+m)+c*x^(6+m)/(6+m)
--E 959
--S 960 of 1125
d0:=D(m0,x)
--E 960
)clear all
--S 961 of 1125
t0:=x^2*(a*x+b*x^3+c*x^5)
--E 961
--S 962 of 1125
r0:=1/4*a*x^4+1/6*b*x^6+1/8*c*x^8
--E 962
--S 963 of 1125
d0:=D(m0,x)
--E 963
)clear all
--S 964 of 1125
t0:=x*(a*x+b*x^3+c*x^5)
--E 964
--S 965 of 1125
r0:=1/3*a*x^3+1/5*b*x^5+1/7*c*x^7
--E 965
--S 966 of 1125
d0:=D(m0,x)
--E 966
)clear all
--S 967 of 1125
t0:=a*x+b*x^3+c*x^5
--E 967
--S 968 of 1125

r0:=1/2*a*x^2+1/4*b*x^4+1/6*c*x^6
--E 968
--S 969 of 1125
d0:=D(m0,x)
--E 969
)clear all
--S 970 of 1125
t0:=(a*x+b*x^3+c*x^5)/x
--E 970
--S 971 of 1125
r0:=a*x+1/3*b*x^3+1/5*c*x^5
--E 971
--S 972 of 1125
d0:=D(m0,x)
--E 972
)clear all
--S 973 of 1125
t0:=(a*x+b*x^3+c*x^5)/x^2
--E 973
--S 974 of 1125
r0:=1/2*b*x^2+1/4*c*x^4+a*log(x)
--E 974
--S 975 of 1125
d0:=D(m0,x)
--E 975
)clear all
--S 976 of 1125
t0:=(a*x+b*x^3+c*x^5)/x^3
--E 976
--S 977 of 1125
r0:=-a/x+b*x+1/3*c*x^3
--E 977
--S 978 of 1125
d0:=D(m0,x)
--E 978
)clear all

--S 979 of 1125
t0:=x^m*(a*x+b*x^3+c*x^5)^2
--E 979
--S 980 of 1125
r0:=a^2*x^(3+m)/(3+m)+2*a*b*x^(5+m)/(5+m)+(b^2+2*a*c)*x^(7+m)/(7+m)+_
   2*b*c*x^(9+m)/(9+m)+c^2*x^(11+m)/(11+m)
--E 980
--S 981 of 1125
d0:=D(m0,x)
--E 981
)clear all
--S 982 of 1125
t0:=x^2*(a*x+b*x^3+c*x^5)^2
--E 982
--S 983 of 1125
r0:=1/5*a^2*x^5+2/7*a*b*x^7+1/9*(b^2+2*a*c)*x^9+2/11*b*c*x^11+1/13*c^2*x^13
--E 983
--S 984 of 1125
d0:=D(m0,x)
--E 984
)clear all
--S 985 of 1125
t0:=x*(a*x+b*x^3+c*x^5)^2
--E 985
--S 986 of 1125
r0:=1/4*a^2*x^4+1/3*a*b*x^6+1/8*(b^2+2*a*c)*x^8+1/5*b*c*x^10+1/12*c^2*x^12
--E 986
--S 987 of 1125
d0:=D(m0,x)
--E 987
)clear all
--S 988 of 1125
t0:=(a*x+b*x^3+c*x^5)^2
--E 988
--S 989 of 1125
r0:=1/3*a^2*x^3+2/5*a*b*x^5+1/7*(b^2+2*a*c)*x^7+2/9*b*c*x^9+1/11*c^2*x^11

--E 989
--S 990 of 1125
d0:=D(m0,x)
--E 990
)clear all
--S 991 of 1125
t0:=(a*x+b*x^3+c*x^5)^2/x
--E 991
--S 992 of 1125
r0:=1/2*a^2*x^2+1/2*a*b*x^4+1/6*(b^2+2*a*c)*x^6+1/4*b*c*x^8+1/10*c^2*x^10
--E 992
--S 993 of 1125
d0:=D(m0,x)
--E 993
)clear all
--S 994 of 1125
t0:=(a*x+b*x^3+c*x^5)^2/x^2
--E 994
--S 995 of 1125
r0:=a^2*x+2/3*a*b*x^3+1/5*(b^2+2*a*c)*x^5+2/7*b*c*x^7+1/9*c^2*x^9
--E 995
--S 996 of 1125
d0:=D(m0,x)
--E 996
)clear all
--S 997 of 1125
t0:=x^8/(a*x+b*x^3+c*x^5)
--E 997
--S 998 of 1125
r0:=-1/2*b*x^2/c^2+1/4*x^4/c+1/4*(b^2-a*c)*log(a+b*x^2+c*x^4)/c^3+_
   1/2*b*(b^2-3*a*c)*atanh((b+2*c*x^2)/sqrt(b^2-4*a*c))/(c^3*sqrt(b^2-4*a*c))
--E 998
--S 999 of 1125
d0:=D(m0a,x)
--E 999
)clear all

--S 1000 of 1125
t0:=x^7/(a*x+b*x^3+c*x^5)
--E 1000
--S 1001 of 1125
r0:=-b*x/c^2+1/3*x^3/c+atan(x*sqrt(2)*sqrt(c)/sqrt(b-sqrt(b^2-4*a*c)))*_
   (b^2-a*c-b*(b^2-3*a*c)/sqrt(b^2-4*a*c))/(c^(5/2)*sqrt(2)*sqrt(b-_
   sqrt(b^2-4*a*c)))+atan(x*sqrt(2)*sqrt(c)/sqrt(b+sqrt(b^2-4*a*c)))*_
   (b^2-a*c+b*(b^2-3*a*c)/sqrt(b^2-4*a*c))/(c^(5/2)*sqrt(2)*sqrt(b+_
   sqrt(b^2-4*a*c)))
--E 1001
--S 1002 of 1125
d0:=D(m0,x)
--E 1002
)clear all
--S 1003 of 1125
t0:=x^6/(a*x+b*x^3+c*x^5)
--E 1003
--S 1004 of 1125
r0:=1/2*x^2/c-1/4*b*log(a+b*x^2+c*x^4)/c^2-1/2*(b^2-2*a*c)*_
   atanh((b+2*c*x^2)/sqrt(b^2-4*a*c))/(c^2*sqrt(b^2-4*a*c))
--E 1004
--S 1005 of 1125
d0:=D(m0a,x)
--E 1005
)clear all
--S 1006 of 1125
t0:=x^5/(a*x+b*x^3+c*x^5)
--E 1006
--S 1007 of 1125
r0:=x/c-atan(x*sqrt(2)*sqrt(c)/sqrt(b-sqrt(b^2-4*a*c)))*(b+_
   (-b^2+2*a*c)/sqrt(b^2-4*a*c))/(c^(3/2)*sqrt(2)*sqrt(b-sqrt(b^2-4*a*c)))-_
   atan(x*sqrt(2)*sqrt(c)/sqrt(b+sqrt(b^2-4*a*c)))*(b+(b^2-2*a*c)/_
   sqrt(b^2-4*a*c))/(c^(3/2)*sqrt(2)*sqrt(b+sqrt(b^2-4*a*c)))
--E 1007
--S 1008 of 1125
d0:=D(m0,x)
--E 1008
)clear all

--S 1010 of 1125
r0:=1/4*log(a+b*x^2+c*x^4)/c+1/2*b*atanh((b+2*c*x^2)/sqrt(b^2-4*a*c))/_
   (c*sqrt(b^2-4*a*c))
--E 1010
--S 1011 of 1125
d0:=D(m0a,x)
--E 1011
)clear all
--S 1012 of 1125
t0:=x^3/(a*x+b*x^3+c*x^5)
--E 1012
--S 1013 of 1125
r0:=-atan(x*sqrt(2)*sqrt(c)/sqrt(b-sqrt(b^2-4*a*c)))*sqrt(b-_
   sqrt(b^2-4*a*c))/(sqrt(2)*sqrt(c)*sqrt(b^2-4*a*c))+atan(x*sqrt(2)*_
   sqrt(c)/sqrt(b+sqrt(b^2-4*a*c)))*sqrt(b+sqrt(b^2-4*a*c))/(sqrt(2)*_
   sqrt(c)*sqrt(b^2-4*a*c))
--E 1013
--S 1014 of 1125
d0:=D(m0,x)
--E 1014
)clear all
--S 1015 of 1125
t0:=x^2/(a*x+b*x^3+c*x^5)
--E 1015
--S 1016 of 1125
r0:=-atanh((b+2*c*x^2)/sqrt(b^2-4*a*c))/sqrt(b^2-4*a*c)
--E 1016
--S 1017 of 1125
d0:=D(m0a,x)
--E 1017
)clear all
--S 1018 of 1125
t0:=x/(a*x+b*x^3+c*x^5)
--E 1018

--S 1019 of 1125
r0:=atan(x*sqrt(2)*sqrt(c)/sqrt(b-sqrt(b^2-4*a*c)))*sqrt(2)*sqrt(c)/_
   (sqrt(b^2-4*a*c)*sqrt(b-sqrt(b^2-4*a*c)))-atan(x*sqrt(2)*sqrt(c)/_
   sqrt(b+sqrt(b^2-4*a*c)))*sqrt(2)*sqrt(c)/(sqrt(b^2-4*a*c)*sqrt(b+_
   sqrt(b^2-4*a*c)))
--E 1019
--S 1020 of 1125
d0:=D(m0,x)
--E 1020
)clear all
--S 1021 of 1125
t0:=1/(a*x+b*x^3+c*x^5)
--E 1021
--S 1022 of 1125
r0:=log(x)/a-1/4*log(a+b*x^2+c*x^4)/a+1/2*b*atanh((b+2*c*x^2)/_
   sqrt(b^2-4*a*c))/(a*sqrt(b^2-4*a*c))
--E 1022
--S 1023 of 1125
d0:=D(m0a,x)
--E 1023
)clear all
--S 1024 of 1125
t0:=1/(x*(a*x+b*x^3+c*x^5))
--E 1024
--S 1025 of 1125
r0:=(-1)/(a*x)-atan(x*sqrt(2)*sqrt(c)/sqrt(b-sqrt(b^2-4*a*c)))*sqrt(c)*_
   (1+b/sqrt(b^2-4*a*c))/(a*sqrt(2)*sqrt(b-sqrt(b^2-4*a*c)))-atan(x*_
   sqrt(2)*sqrt(c)/sqrt(b+sqrt(b^2-4*a*c)))*sqrt(c)*(1-b/sqrt(b^2-4*a*c))/_
   (a*sqrt(2)*sqrt(b+sqrt(b^2-4*a*c)))
--E 1025
--S 1026 of 1125
d0:=D(m0,x)
--E 1026
)clear all
--S 1027 of 1125
t0:=1/(x^2*(a*x+b*x^3+c*x^5))
--E 1027

--S 1028 of 1125
r0:=(-1/2)/(a*x^2)-b*log(x)/a^2+1/4*b*log(a+b*x^2+c*x^4)/a^2-_
   1/2*(b^2-2*a*c)*atanh((b+2*c*x^2)/sqrt(b^2-4*a*c))/(a^2*sqrt(b^2-4*a*c))
--E 1028
--S 1029 of 1125
d0:=D(m0a,x)
--E 1029
)clear all
--S 1030 of 1125
t0:=x^11/(a*x+b*x^3+c*x^5)^2
--E 1030
--S 1031 of 1125
r0:=(b^2-3*a*c)*x^2/(c^2*(b^2-4*a*c))-1/2*b*x^4/(c*(b^2-4*a*c))+_
   1/2*x^6*(2*a+b*x^2)/((b^2-4*a*c)*(a+b*x^2+c*x^4))-(b^4-6*a*b^2*c+_
   6*a^2*c^2)*atanh((b+2*c*x^2)/sqrt(b^2-4*a*c))/(c^3*(b^2-4*a*c)^(3/2))-_
   1/2*b*log(a+b*x^2+c*x^4)/c^3
--E 1031
--S 1032 of 1125
d0:=D(m0a,x)
--E 1032
)clear all
--S 1033 of 1125
t0:=x^10/(a*x+b*x^3+c*x^5)^2
--E 1033
--S 1034 of 1125
r0:=1/2*(3*b^2-10*a*c)*x/(c^2*(b^2-4*a*c))-1/2*b*x^3/(c*(b^2-4*a*c))+_
   1/2*x^5*(2*a+b*x^2)/((b^2-4*a*c)*(a+b*x^2+c*x^4))-1/2*atan(x*sqrt(2)*_
   sqrt(c)/sqrt(b-sqrt(b^2-4*a*c)))*(3*b^3-13*a*b*c+(-3*b^4+19*a*b^2*c-_
   20*a^2*c^2)/sqrt(b^2-4*a*c))/(c^(5/2)*(b^2-4*a*c)*sqrt(2)*sqrt(b-_
   sqrt(b^2-4*a*c)))-1/2*atan(x*sqrt(2)*sqrt(c)/sqrt(b+sqrt(b^2-4*a*c)))*_
   (3*b^3-13*a*b*c+(3*b^4-19*a*b^2*c+20*a^2*c^2)/sqrt(b^2-4*a*c))/_
   (c^(5/2)*(b^2-4*a*c)*sqrt(2)*sqrt(b+sqrt(b^2-4*a*c)))
--E 1034
--S 1035 of 1125
d0:=D(m0,x)
--E 1035
)clear all
--S 1036 of 1125
t0:=x^9/(a*x+b*x^3+c*x^5)^2

--E 1036
--S 1037 of 1125
r0:=-1/2*b*x^2/(c*(b^2-4*a*c))+1/2*x^4*(2*a+b*x^2)/((b^2-4*a*c)*_
   (a+b*x^2+c*x^4))+1/2*b*(b^2-6*a*c)*atanh((b+2*c*x^2)/sqrt(b^2-4*a*c))/_
   (c^2*(b^2-4*a*c)^(3/2))+1/4*log(a+b*x^2+c*x^4)/c^2
--E 1037
--S 1038 of 1125
d0:=D(m0a,x)
--E 1038
)clear all
--S 1039 of 1125
t0:=x^8/(a*x+b*x^3+c*x^5)^2
--E 1039
--S 1040 of 1125
r0:=-1/2*b*x/(c*(b^2-4*a*c))+1/2*x^3*(2*a+b*x^2)/((b^2-4*a*c)*_
   (a+b*x^2+c*x^4))+1/2*atan(x*sqrt(2)*sqrt(c)/sqrt(b-sqrt(b^2-4*a*c)))*_
   (b^2-6*a*c-b*(b^2-8*a*c)/sqrt(b^2-4*a*c))/(c^(3/2)*(b^2-4*a*c)*sqrt(2)*_
   sqrt(b-sqrt(b^2-4*a*c)))+1/2*atan(x*sqrt(2)*sqrt(c)/sqrt(b+sqrt(b^2-_
   4*a*c)))*(b^2-6*a*c+b*(b^2-8*a*c)/sqrt(b^2-4*a*c))/(c^(3/2)*(b^2-4*a*c)*_
   sqrt(2)*sqrt(b+sqrt(b^2-4*a*c)))
--E 1040
--S 1041 of 1125
d0:=D(m0,x)
--E 1041
)clear all
--S 1042 of 1125
t0:=x^7/(a*x+b*x^3+c*x^5)^2
--E 1042
--S 1043 of 1125
r0:=1/2*x^2*(2*a+b*x^2)/((b^2-4*a*c)*(a+b*x^2+c*x^4))+_
   2*a*atanh((b+2*c*x^2)/sqrt(b^2-4*a*c))/(b^2-4*a*c)^(3/2)
--E 1043
--S 1044 of 1125
d0:=D(m0a,x)
--E 1044
)clear all
--S 1045 of 1125
t0:=x^6/(a*x+b*x^3+c*x^5)^2

--E 1045
--S 1046 of 1125
r0:=1/2*x*(2*a+b*x^2)/((b^2-4*a*c)*(a+b*x^2+c*x^4))+1/2*atan(x*sqrt(2)*_
   sqrt(c)/sqrt(b-sqrt(b^2-4*a*c)))*(b+(-b^2-4*a*c)/sqrt(b^2-4*a*c))/_
   ((b^2-4*a*c)*sqrt(2)*sqrt(c)*sqrt(b-sqrt(b^2-4*a*c)))+1/2*atan(x*_
   sqrt(2)*sqrt(c)/sqrt(b+sqrt(b^2-4*a*c)))*(b^2+4*a*c+b*_
   sqrt(b^2-4*a*c))/((b^2-4*a*c)^(3/2)*sqrt(2)*sqrt(c)*sqrt(b+sqrt(b^2-4*a*c)))
--E 1046
--S 1047 of 1125
d0:=D(m0,x)
--E 1047
)clear all
--S 1048 of 1125
t0:=x^5/(a*x+b*x^3+c*x^5)^2
--E 1048
--S 1049 of 1125
r0:=1/2*(2*a+b*x^2)/((b^2-4*a*c)*(a+b*x^2+c*x^4))-b*atanh((b+2*c*x^2)/_
   sqrt(b^2-4*a*c))/(b^2-4*a*c)^(3/2)
--E 1049
--S 1050 of 1125
d0:=D(m0a,x)
--E 1050
)clear all
--S 1051 of 1125
t0:=x^4/(a*x+b*x^3+c*x^5)^2
--E 1051
--S 1052 of 1125
r0:=-1/2*x*(b+2*c*x^2)/((b^2-4*a*c)*(a+b*x^2+c*x^4))+atan(x*sqrt(2)*_
   sqrt(c)/sqrt(b-sqrt(b^2-4*a*c)))*sqrt(c)*(2*b-sqrt(b^2-4*a*c))/((b^2-_
   4*a*c)^(3/2)*sqrt(2)*sqrt(b-sqrt(b^2-4*a*c)))-atan(x*sqrt(2)*sqrt(c)/_
   sqrt(b+sqrt(b^2-4*a*c)))*sqrt(c)*(2*b+sqrt(b^2-4*a*c))/((b^2-_
   4*a*c)^(3/2)*sqrt(2)*sqrt(b+sqrt(b^2-4*a*c)))
--E 1052
--S 1053 of 1125
d0:=D(m0,x)
--E 1053
)clear all
--S 1054 of 1125

t0:=x^3/(a*x+b*x^3+c*x^5)^2
--E 1054
--S 1055 of 1125
r0:=1/2*(-b-2*c*x^2)/((b^2-4*a*c)*(a+b*x^2+c*x^4))+2*c*atanh((b+2*c*x^2)/_
   sqrt(b^2-4*a*c))/(b^2-4*a*c)^(3/2)
--E 1055
--S 1056 of 1125
d0:=D(m0a,x)
--E 1056
)clear all
--S 1057 of 1125
t0:=x^2/(a*x+b*x^3+c*x^5)^2
--E 1057
--S 1058 of 1125
r0:=1/2*x*(b^2-2*a*c+b*c*x^2)/(a*(b^2-4*a*c)*(a+b*x^2+c*x^4))+_
   1/2*atan(x*sqrt(2)*sqrt(c)/sqrt(b-sqrt(b^2-4*a*c)))*sqrt(c)*(b+(b^2-_
   12*a*c)/sqrt(b^2-4*a*c))/(a*(b^2-4*a*c)*sqrt(2)*sqrt(b-sqrt(b^2-4*a*c)))+_
   1/2*atan(x*sqrt(2)*sqrt(c)/sqrt(b+sqrt(b^2-4*a*c)))*sqrt(c)*(b+_
   (-b^2+12*a*c)/sqrt(b^2-4*a*c))/(a*(b^2-4*a*c)*sqrt(2)*sqrt(b+_
   sqrt(b^2-4*a*c)))
--E 1058
--S 1059 of 1125
d0:=D(m0,x)
--E 1059
)clear all
--S 1060 of 1125
t0:=x/(a*x+b*x^3+c*x^5)^2
--E 1060
--S 1061 of 1125
r0:=1/2*(b^2-2*a*c+b*c*x^2)/(a*(b^2-4*a*c)*(a+b*x^2+c*x^4))+_
   1/2*b*(b^2-6*a*c)*atanh((b+2*c*x^2)/sqrt(b^2-4*a*c))/(a^2*_
   (b^2-4*a*c)^(3/2))+log(x)/a^2-1/4*log(a+b*x^2+c*x^4)/a^2
--E 1061
--S 1062 of 1125
d0:=D(m0a,x)
--E 1062
)clear all
--S 1063 of 1125

t0:=1/(a*x+b*x^3+c*x^5)^2
--E 1063
--S 1064 of 1125
r0:=1/2*(-3*b^2+10*a*c)/(a^2*(b^2-4*a*c)*x)+1/2*(b^2-2*a*c+b*c*x^2)/_
   (a*(b^2-4*a*c)*x*(a+b*x^2+c*x^4))-1/2*atan(x*sqrt(2)*sqrt(c)/sqrt(b-_
   sqrt(b^2-4*a*c)))*sqrt(c)*(3*b^2-10*a*c+b*(3*b^2-16*a*c)/sqrt(b^2-_
   4*a*c))/(a^2*(b^2-4*a*c)*sqrt(2)*sqrt(b-sqrt(b^2-4*a*c)))-_
   1/2*atan(x*sqrt(2)*sqrt(c)/sqrt(b+sqrt(b^2-4*a*c)))*sqrt(c)*(3*b^2-_
   10*a*c+(-3*b^3+16*a*b*c)/sqrt(b^2-4*a*c))/(a^2*(b^2-4*a*c)*sqrt(2)*_
   sqrt(b+sqrt(b^2-4*a*c)))
--E 1064
--S 1065 of 1125
d0:=D(m0,x)
--E 1065
)clear all
--S 1066 of 1125
t0:=1/(x*(a*x+b*x^3+c*x^5)^2)
--E 1066
--S 1067 of 1125
r0:=(-b^2+3*a*c)/(a^2*(b^2-4*a*c)*x^2)+1/2*(b^2-2*a*c+b*c*x^2)/(a*_
   (b^2-4*a*c)*x^2*(a+b*x^2+c*x^4))-(b^4-6*a*b^2*c+6*a^2*c^2)*_
   atanh((b+2*c*x^2)/sqrt(b^2-4*a*c))/(a^3*(b^2-4*a*c)^(3/2))-_
   2*b*log(x)/a^3+1/2*b*log(a+b*x^2+c*x^4)/a^3
--E 1067
--S 1068 of 1125
d0:=D(m0a,x)
--E 1068
)clear all
--S 1069 of 1125
t0:=1/(x^2*(a*x+b*x^3+c*x^5)^2)
--E 1069
--S 1070 of 1125
r0:=1/6*(-5*b^2+14*a*c)/(a^2*(b^2-4*a*c)*x^3)+1/2*b*(5*b^2-19*a*c)/_
   (a^3*(b^2-4*a*c)*x)+1/2*(b^2-2*a*c+b*c*x^2)/(a*(b^2-4*a*c)*x^3*_
   (a+b*x^2+c*x^4))+1/2*atan(x*sqrt(2)*sqrt(c)/sqrt(b-sqrt(b^2-4*a*c)))*_
   sqrt(c)*(5*b^3-19*a*b*c+(5*b^4-29*a*b^2*c+28*a^2*c^2)/sqrt(b^2-4*a*c))/_
   (a^3*(b^2-4*a*c)*sqrt(2)*sqrt(b-sqrt(b^2-4*a*c)))+1/2*atan(x*sqrt(2)*_
   sqrt(c)/sqrt(b+sqrt(b^2-4*a*c)))*sqrt(c)*(5*b^3-19*a*b*c+(-5*b^4+_
   29*a*b^2*c-28*a^2*c^2)/sqrt(b^2-4*a*c))/(a^3*(b^2-4*a*c)*sqrt(2)*_
   sqrt(b+sqrt(b^2-4*a*c)))
--E 1070

)clear all
--S 1072 of 1125
t0:=1/(x^3*(a*x+b*x^3+c*x^5)^2)
--E 1072
--S 1073 of 1125
r0:=1/4*(-3*b^2+8*a*c)/(a^2*(b^2-4*a*c)*x^4)+1/2*b*(3*b^2-11*a*c)/_
   (a^3*(b^2-4*a*c)*x^2)+1/2*(b^2-2*a*c+b*c*x^2)/(a*(b^2-4*a*c)*x^4*_
   (a+b*x^2+c*x^4))+1/2*b*(3*b^4-20*a*b^2*c+30*a^2*c^2)*atanh((b+_
   2*c*x^2)/sqrt(b^2-4*a*c))/(a^4*(b^2-4*a*c)^(3/2))+(3*b^2-2*a*c)*_
   log(x)/a^4-1/4*(3*b^2-2*a*c)*log(a+b*x^2+c*x^4)/a^4
--E 1073
--S 1074 of 1125
d0:=D(m0a,x)
--E 1074
)clear all
--S 1075 of 1125
t0:=x^(3/2)*sqrt(a*x+b*x^3+c*x^5)
--E 1075
--S 1076 of 1125
--r0:=1/15*(b+3*c*x^2)*sqrt(x)*sqrt(a*x+b*x^3+c*x^5)/c-1/15*(b^2-3*a*c)*elliptic_e(asin(x*sqrt(2)*sqrt(c)/sqrt(-b+sqrt(b^2-4*a*c))),(b-sqrt(b^2-4*a*c))/(b+sqrt(b^2-4*a*c)))*(b+sqrt(b^2-4*a*c))*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(-b+sqrt(b^2-4*a*c))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(c^(5/2)*sqrt(2)*sqrt(a*x+b*x^3+c*x^5))+1/15*elliptic_f(asin(x*sqrt(2)*sqrt(c)/sqrt(-b+sqrt(b^2-4*a*c))),(b-sqrt(b^2-4*a*c))/(b+sqrt(b^2-4*a*c)))*(b^3-4*a*b*c+(b^2-3*a*c)*sqrt(b^2-4*a*c))*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(-b+sqrt(b^2-4*a*c))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(c^(5/2)*sqrt(2)*sqrt(a*x+b*x^3+c*x^5))
--E 1076
--S 1077 of 1125
d0:=D(m0,x)
--E 1077
)clear all
--S 1078 of 1125
t0:=sqrt(x)*sqrt(a*x+b*x^3+c*x^5)
--E 1078
--S 1079 of 1125
r0:=-1/16*(b^2-4*a*c)*atanh(1/2*(b+2*c*x^2)/(sqrt(c)*sqrt(a+b*x^2+c*x^4)))*_
   sqrt(x)*sqrt(a+b*x^2+c*x^4)/(c^(3/2)*sqrt(a*x+b*x^3+c*x^5))+_
   1/8*(b+2*c*x^2)*sqrt(a*x+b*x^3+c*x^5)/(c*sqrt(x))
--E 1079
--S 1080 of 1125

)clear all
--S 1081 of 1125
t0:=sqrt(a*x+b*x^3+c*x^5)/sqrt(x)
--E 1081
--S 1082 of 1125
--r0:=1/3*sqrt(x)*sqrt(a*x+b*x^3+c*x^5)+1/6*b*elliptic_e(asin(x*sqrt(2)*sqrt(c)/sqrt(-b+sqrt(b^2-4*a*c))),(b-sqrt(b^2-4*a*c))/(b+sqrt(b^2-4*a*c)))*(b+sqrt(b^2-4*a*c))*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(-b+sqrt(b^2-4*a*c))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(c^(3/2)*sqrt(2)*sqrt(a*x+b*x^3+c*x^5))-1/6*elliptic_f(asin(x*sqrt(2)*sqrt(c)/sqrt(-b+sqrt(b^2-4*a*c))),(b-sqrt(b^2-4*a*c))/(b+sqrt(b^2-4*a*c)))*(b^2-4*a*c+b*sqrt(b^2-4*a*c))*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(-b+sqrt(b^2-4*a*c))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(c^(3/2)*sqrt(2)*sqrt(a*x+b*x^3+c*x^5))
--E 1082
--S 1083 of 1125
d0:=D(m0,x)
--E 1083
)clear all
--S 1084 of 1125
t0:=sqrt(a*x+b*x^3+c*x^5)/x^(3/2)
--E 1084
--S 1085 of 1125
r0:=-1/2*atanh(1/2*(2*a+b*x^2)/(sqrt(a)*sqrt(a+b*x^2+c*x^4)))*sqrt(a)*_
   sqrt(x)*sqrt(a+b*x^2+c*x^4)/sqrt(a*x+b*x^3+c*x^5)+1/4*b*atanh(1/2*(b+_
   2*c*x^2)/(sqrt(c)*sqrt(a+b*x^2+c*x^4)))*sqrt(x)*sqrt(a+b*x^2+c*x^4)/_
   (sqrt(c)*sqrt(a*x+b*x^3+c*x^5))+1/2*sqrt(a*x+b*x^3+c*x^5)/sqrt(x)
--E 1085
-- integrate: implementation incomplete (non-algebraic residues)
--S 1086 of 1125
d0:=D(m0,x)
--E 1086
)clear all
--S 1087 of 1125
t0:=x^(3/2)*(a*x+b*x^3+c*x^5)^(3/2)
--E 1087
--S 1088 of 1125
r0:=1/80*(3*b+8*c*x^2)*(a*x+b*x^3+c*x^5)^(3/2)*sqrt(x)/c-_
   3/512*b*(b^2-4*a*c)^2*atanh(1/2*(b+2*c*x^2)/(sqrt(c)*sqrt(a+_
   b*x^2+c*x^4)))*sqrt(x)*sqrt(a+b*x^2+c*x^4)/(c^(7/2)*sqrt(a*x+b*x^3+_
   c*x^5))-1/640*x^(3/2)*(b*(5*b^2-4*a*c)+4*c*(5*b^2-16*a*c)*x^2)*_
   sqrt(a*x+b*x^3+c*x^5)/c^2+1/1280*(15*b^4-100*a*b^2*c+128*a^2*c^2)*_
   sqrt(a*x+b*x^3+c*x^5)/(c^3*sqrt(x))
--E 1088

)clear all
--S 1090 of 1125
t0:=(a*x+b*x^3+c*x^5)^(3/2)*sqrt(x)
--E 1090
--S 1091 of 1125
--r0:=1/63*(3*b+7*c*x^2)*(a*x+b*x^3+c*x^5)^(3/2)/(c*sqrt(x))-1/315*(b*(4*b^2-9*a*c)+6*c*(2*b^2-7*a*c)*x^2)*sqrt(x)*sqrt(a*x+b*x^3+c*x^5)/c^2+1/630*(8*b^4-57*a*b^2*c+84*a^2*c^2)*elliptic_e(asin(x*sqrt(2)*sqrt(c)/sqrt(-b+sqrt(b^2-4*a*c))),(b-sqrt(b^2-4*a*c))/(b+sqrt(b^2-4*a*c)))*(b+sqrt(b^2-4*a*c))*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(-b+sqrt(b^2-4*a*c))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(c^(7/2)*sqrt(2)*sqrt(a*x+b*x^3+c*x^5))-1/630*elliptic_f(asin(x*sqrt(2)*sqrt(c)/sqrt(-b+sqrt(b^2-4*a*c))),(b-sqrt(b^2-4*a*c))/(b+sqrt(b^2-4*a*c)))*(b+sqrt(b^2-4*a*c))*(8*b^4-57*a*b^2*c+84*a^2*c^2-8*a*b*c*(b^2-6*a*c)/(b+sqrt(b^2-4*a*c)))*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(-b+sqrt(b^2-4*a*c))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(c^(7/2)*sqrt(2)*sqrt(a*x+b*x^3+c*x^5))
--E 1091
--S 1092 of 1125
d0:=D(m0,x)
--E 1092
)clear all
--S 1093 of 1125
t0:=(a*x+b*x^3+c*x^5)^(3/2)/sqrt(x)
--E 1093
--S 1094 of 1125
r0:=1/16*(b+2*c*x^2)*(a*x+b*x^3+c*x^5)^(3/2)/(c*x^(3/2))+3/256*(b^2-_
   4*a*c)^2*atanh(1/2*(b+2*c*x^2)/(sqrt(c)*sqrt(a+b*x^2+c*x^4)))*sqrt(x)*_
   sqrt(a+b*x^2+c*x^4)/(c^(5/2)*sqrt(a*x+b*x^3+c*x^5))-3/128*(b^2-4*a*c)*_
   (b+2*c*x^2)*sqrt(a*x+b*x^3+c*x^5)/(c^2*sqrt(x))
--E 1094
--S 1095 of 1125
d0:=D(m0,x)
--E 1095
)clear all
--S 1096 of 1125
t0:=(a*x+b*x^3+c*x^5)^(3/2)/x^(3/2)
--E 1096
--S 1097 of 1125
--r0:=1/7*(a*x+b*x^3+c*x^5)^(3/2)/sqrt(x)+1/35*(b^2+10*a*c+3*b*c*x^2)*sqrt(x)*sqrt(a*x+b*x^3+c*x^5)/c-1/35*b*(b^2-8*a*c)*elliptic_e(asin(x*sqrt(2)*sqrt(c)/sqrt(-b+sqrt(b^2-4*a*c))),(b-sqrt(b^2-4*a*c))/(b+sqrt(b^2-4*a*c)))*(b+sqrt(b^2-4*a*c))*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(-b+sqrt(b^2-4*a*c))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(c^(5/2)*sqrt(2)*sqrt(a*x+b*x^3+c*x^5))+1/35*elliptic_f(asin(x*sqrt(2)*sqrt(c)/sqrt(-b+sqrt(b^2-4*a*c))),(b-sqrt(b^2-4*a*c))/(b+sqrt(b^2-4*a*c)))*(b^4-9*a*b^2*c+20*a^2*c^2+b*(b^2-8*a*c)*sqrt(b^2-4*a*c))*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(-b+sqrt(b^2-4*a*c))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(c^(5/2)*sqrt(2)*sqrt(a*x+b*x^3+c*x^5))
--E 1097
--S 1098 of 1125
d0:=D(m0,x)
--E 1098
)clear all

--S 1099 of 1125
t0:=x^(3/2)/sqrt(a*x+b*x^3+c*x^5)
--E 1099
--S 1100 of 1125
r0:=1/2*atanh(1/2*(b+2*c*x^2)/(sqrt(c)*sqrt(a+b*x^2+c*x^4)))*sqrt(x)*_
   sqrt(a+b*x^2+c*x^4)/(sqrt(c)*sqrt(a*x+b*x^3+c*x^5))
--E 1100
--S 1101 of 1125
d0:=D(m0,x)
--E 1101
)clear all
--S 1102 of 1125
t0:=sqrt(x)/sqrt(a*x+b*x^3+c*x^5)
--E 1102
--S 1103 of 1125
--r0:=elliptic_f(asin(x*sqrt(2)*sqrt(c)/sqrt(-b+sqrt(b^2-4*a*c))),(b-sqrt(b^2-4*a*c))/(b+sqrt(b^2-4*a*c)))*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(-b+sqrt(b^2-4*a*c))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(sqrt(2)*sqrt(c)*sqrt(a*x+b*x^3+c*x^5))
--E 1103
--S 1104 of 1125
d0:=D(m0,x)
--E 1104
)clear all
--S 1105 of 1125
t0:=1/(sqrt(x)*sqrt(a*x+b*x^3+c*x^5))
--E 1105
--S 1106 of 1125
r0:=-1/2*atanh(1/2*(2*a+b*x^2)/(sqrt(a)*sqrt(a+b*x^2+c*x^4)))*sqrt(x)*_
   sqrt(a+b*x^2+c*x^4)/(sqrt(a)*sqrt(a*x+b*x^3+c*x^5))
--E 1106
--S 1107 of 1125
d0:=D(m0,x)
--E 1107
)clear all
--S 1108 of 1125
t0:=1/(x^(3/2)*sqrt(a*x+b*x^3+c*x^5))
--E 1108
--S 1109 of 1125

--r0:=-sqrt(a*x+b*x^3+c*x^5)/(a*x^(3/2))+1/2*elliptic_f(asin(x*sqrt(2)*sqrt(c)/sqrt(-b+sqrt(b^2-4*a*c))),(b-sqrt(b^2-4*a*c))/(b+sqrt(b^2-4*a*c)))*(-b+sqrt(b^2-4*a*c))^(3/2)*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(a*sqrt(2)*sqrt(c)*sqrt(a*x+b*x^3+c*x^5))+1/2*elliptic_e(asin(x*sqrt(2)*sqrt(-c)/sqrt(b+sqrt(b^2-4*a*c))),(b+sqrt(b^2-4*a*c))/(b-sqrt(b^2-4*a*c)))*(b-sqrt(b^2-4*a*c))*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(b+sqrt(b^2-4*a*c))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(a*sqrt(2)*sqrt(-c)*sqrt(a*x+b*x^3+c*x^5))
--E 1109
--S 1110 of 1125
d0:=D(m0,x)
--E 1110
)clear all
--S 1111 of 1125
t0:=x^(3/2)/(a*x+b*x^3+c*x^5)^(3/2)
--E 1111
--S 1112 of 1125
--r0:=x^(3/2)*(b^2-2*a*c+b*c*x^2)/(a*(b^2-4*a*c)*sqrt(a*x+b*x^3+c*x^5))-1/2*b*elliptic_e(asin(x*sqrt(2)*sqrt(c)/sqrt(-b+sqrt(b^2-4*a*c))),(b-sqrt(b^2-4*a*c))/(b+sqrt(b^2-4*a*c)))*(b+sqrt(b^2-4*a*c))*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(-b+sqrt(b^2-4*a*c))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(a*(b^2-4*a*c)*sqrt(2)*sqrt(c)*sqrt(a*x+b*x^3+c*x^5))+1/2*elliptic_f(asin(x*sqrt(2)*sqrt(c)/sqrt(-b+sqrt(b^2-4*a*c))),(b-sqrt(b^2-4*a*c))/(b+sqrt(b^2-4*a*c)))*(b^2-4*a*c+b*sqrt(b^2-4*a*c))*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(-b+sqrt(b^2-4*a*c))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(a*(b^2-4*a*c)*sqrt(2)*sqrt(c)*sqrt(a*x+b*x^3+c*x^5))
--E 1112
--S 1113 of 1125
d0:=D(m0,x)
--E 1113
)clear all
--S 1114 of 1125
t0:=sqrt(x)/(a*x+b*x^3+c*x^5)^(3/2)
--E 1114
--S 1115 of 1125
r0:=(b^2-2*a*c+b*c*x^2)*sqrt(x)/(a*(b^2-4*a*c)*sqrt(a*x+b*x^3+c*x^5))-_
   1/2*atanh(1/2*(2*a+b*x^2)/(sqrt(a)*sqrt(a+b*x^2+c*x^4)))*sqrt(x)*_
   sqrt(a+b*x^2+c*x^4)/(a^(3/2)*sqrt(a*x+b*x^3+c*x^5))
--E 1115
--S 1116 of 1125
d0:=D(m0,x)
--E 1116
)clear all
--S 1117 of 1125
t0:=1/((a*x+b*x^3+c*x^5)^(3/2)*sqrt(x))
--E 1117
--S 1118 of 1125
--r0:=(b^2-2*a*c+b*c*x^2)/(a*(b^2-4*a*c)*sqrt(x)*sqrt(a*x+b*x^3+c*x^5))-2*(b^2-3*a*c)*sqrt(a*x+b*x^3+c*x^5)/(a^2*(b^2-4*a*c)*x^(3/2))+(b^2-3*a*c)*elliptic_e(asin(x*sqrt(2)*sqrt(c)/sqrt(-b+sqrt(b^2-4*a*c))),(b-sqrt(b^2-4*a*c))/(b+sqrt(b^2-4*a*c)))*(b+sqrt(b^2-4*a*c))*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(-b+sqrt(b^2-4*a*c))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(a^2*(b^2-4*a*c)*sqrt(2)*sqrt(c)*sqrt(a*x+b*x^3+c*x^5))-elliptic_f(asin(x*sqrt(2)*sqrt(c)/sqrt(-b+sqrt(b^2-4*a*c))),(b-sqrt(b^2-4*a*c))/(b+sqrt(b^2-4*a*c)))*(b^3-4*a*b*c+(b^2-3*a*c)*sqrt(b^2-4*a*c))*sqrt(x)*sqrt(1+2*c*x^2/(b-sqrt(b^2-4*a*c)))*sqrt(-b+sqrt(b^2-4*a*c))*sqrt(1+2*c*x^2/(b+sqrt(b^2-4*a*c)))/(a^2*(b^2-4*a*c)*sqrt(2)*sqrt(c)*sqrt(a*x+b*x^3+c*x^5))
--E 1118
--S 1119 of 1125
d0:=D(m0,x)
--E 1119

--S 1120 of 1125
t0:=1/(x^(3/2)*(a*x+b*x^3+c*x^5)^(3/2))
--E 1120
--S 1121 of 1125
r0:=(b^2-2*a*c+b*c*x^2)/(a*(b^2-4*a*c)*x^(3/2)*sqrt(a*x+b*x^3+c*x^5))+_
   3/4*b*atanh(1/2*(2*a+b*x^2)/(sqrt(a)*sqrt(a+b*x^2+c*x^4)))*sqrt(x)*_
   sqrt(a+b*x^2+c*x^4)/(a^(5/2)*sqrt(a*x+b*x^3+c*x^5))-1/2*(3*b^2-8*a*c)*_
   sqrt(a*x+b*x^3+c*x^5)/(a^2*(b^2-4*a*c)*x^(5/2))
--E 1121
--S 1122 of 1125
d0:=D(m0,x)
--E 1122
)clear all
--S 1123 of 1125
t0:=x^(3/2*(-1+n))/(a*x^(-1+n)+b*x^n+c*x^(1+n))^(3/2)
--E 1123
--S 1124 of 1125
r0:=-2*x^(1/2*(-1+n))*(b+2*c*x)/((b^2-4*a*c)*sqrt(a*x^(-1+n)+b*x^n+c*x^(1+n)))
--E 1124
-- integrate: implementation incomplete (constant residues)
--S 1125 of 1125
d0:=D(m0,x)
--E 1125
)spool
)lisp (bye)

———-

References^{[1] nothing}

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