$SPAD/src/input richder24c.input

Albert Rich and Timothy Daly

December 3, 2016

Abstract

Exponential Functions

Contents

2

— * —

)set break resume
)sys rm -f richder24c.output
)spool richder24c.output
)set message test on
)set message auto off
)clear all
--S 1 of 602
t0:=F^(a+b*(c+d*x)^n)*(c+d*x)^(-1+4*n)
--E 1
--S 2 of 602
r0:=-6*F^(a+b*(c+d*x)^n)/(b^4*d*n*log(F)^4)+6*F^(a+b*(c+d*x)^n)*_
   (c+d*x)^n/(b^3*d*n*log(F)^3)-3*F^(a+b*(c+d*x)^n)*(c+d*x)^(2*n)/_
   (b^2*d*n*log(F)^2)+F^(a+b*(c+d*x)^n)*(c+d*x)^(3*n)/(b*d*n*log(F))
--E 2
--S 3 of 602
d0:=normalize(D(m0,x))
--E 3
)clear all
--S 4 of 602
t0:=F^(a+b*(c+d*x)^n)*(c+d*x)^(-1+3*n)
--E 4
--S 5 of 602
r0:=2*F^(a+b*(c+d*x)^n)/(b^3*d*n*log(F)^3)-2*F^(a+b*(c+d*x)^n)*(c+d*x)^n/_
   (b^2*d*n*log(F)^2)+F^(a+b*(c+d*x)^n)*(c+d*x)^(2*n)/(b*d*n*log(F))
--E 5
--S 6 of 602
d0:=normalize(D(m0,x))
--E 6
)clear all
--S 7 of 602
t0:=F^(a+b*(c+d*x)^n)*(c+d*x)^(-1+2*n)
--E 7
--S 8 of 602
r0:=-F^(a+b*(c+d*x)^n)/(b^2*d*n*log(F)^2)+F^(a+b*(c+d*x)^n)*(c+d*x)^n/_
   (b*d*n*log(F))
--E 8

--S 9 of 602
d0:=normalize(D(m0,x))
--E 9
)clear all
--S 10 of 602
t0:=F^(a+b*(c+d*x)^n)*(c+d*x)^(-1+n)
--E 10
--S 11 of 602
r0:=F^(a+b*(c+d*x)^n)/(b*d*n*log(F))
--E 11
--S 12 of 602
d0:=normalize(D(m0,x))
--E 12
)clear all
--S 13 of 602
t0:=F^(a+b*(c+d*x)^n)/(c+d*x)
--E 13
--S 14 of 602
--r0:=F^a*Ei(b*(c+d*x)^n*log(F))/(d*n)
--E 14
--S 15 of 602
--d0:=normalize(D(m0,x))
--E 15
)clear all
--S 16 of 602
t0:=F^(a+b*(c+d*x)^n)*(c+d*x)^(-1-n)
--E 16
--S 17 of 602
--r0:=-F^(a+b*(c+d*x)^n)/(d*n*(c+d*x)^n)+b*F^a*Ei(b*(c+d*x)^n*log(F))*_
--   log(F)/(d*n)
--E 17
--S 18 of 602
--d0:=normalize(D(m0,x))
--E 18
)clear all
--S 19 of 602

t0:=F^(a+b*(c+d*x)^n)*(c+d*x)^(-1-2*n)
--E 19
--S 20 of 602
--r0:=-1/2*F^(a+b*(c+d*x)^n)/(d*n*(c+d*x)^(2*n))-1/2*b*F^(a+b*(c+d*x)^n)*_
--   log(F)/(d*n*(c+d*x)^n)+1/2*b^2*F^a*Ei(b*(c+d*x)^n*log(F))*log(F)^2/(d*n)
--E 20
--S 21 of 602
--d0:=normalize(D(m0,x))
--E 21
)clear all
--S 22 of 602
t0:=F^(a+b*(c+d*x)^n)*(c+d*x)^(-1-3*n)
--E 22
--S 23 of 602
--r0:=-1/3*F^(a+b*(c+d*x)^n)/(d*n*(c+d*x)^(3*n))-1/6*b*F^(a+b*(c+d*x)^n)*_
--   log(F)/(d*n*(c+d*x)^(2*n))-1/6*b^2*F^(a+b*(c+d*x)^n)*log(F)^2/_
--   (d*n*(c+d*x)^n)+1/6*b^3*F^a*Ei(b*(c+d*x)^n*log(F))*log(F)^3/(d*n)
--E 23
--S 24 of 602
--d0:=normalize(D(m0,x))
--E 24
)clear all
--S 25 of 602
t0:=F^(a+b*(c+d*x)^n)*(c+d*x)^(-1-4*n)
--E 25
--S 26 of 602
--r0:=-b^4*F^a*GAMMA(-4,-b*(c+d*x)^n*log(F))*log(F)^4/(d*n)
--E 26
--S 27 of 602
--d0:=normalize(D(m0,x))
--E 27
)clear all
--S 28 of 602
t0:=F^(a+b*(c+d*x)^n)*(c+d*x)^(-1-5*n)
--E 28
--S 29 of 602
--r0:=b^5*F^a*GAMMA(-5,-b*(c+d*x)^n*log(F))*log(F)^5/(d*n)

--E 29
--S 30 of 602
--d0:=normalize(D(m0,x))
--E 30
)clear all
--S 31 of 602
t0:=F^(c*(a+b*x)^n)*(a+b*x)^(-1+1/2*n)
--E 31
--S 32 of 602
--r0:=erfi((a+b*x)^(1/2*n)*sqrt(c)*sqrt(log(F)))*sqrt(%pi)/(b*n*sqrt(c)*_
--   sqrt(log(F)))
--E 32
--S 33 of 602
--d0:=normalize(D(m0,x))
--E 33
)clear all
--S 34 of 602
t0:=(a+b*x)^(-1+1/2*n)/F^(c*(a+b*x)^n)
--E 34
--S 35 of 602
--r0:=erf((a+b*x)^(1/2*n)*sqrt(c)*sqrt(log(F)))*sqrt(%pi)/(b*n*sqrt(c)*_
--   sqrt(log(F)))
--E 35
--S 36 of 602
--d0:=normalize(D(m0,x))
--E 36
)clear all
--S 37 of 602
t0:=F^(a+b*(c+d*x)^2)*(e+f*x)^5
--E 37
--S 38 of 602
--r0:=f^5*F^(a+b*(c+d*x)^2)/(b^3*d^6*log(F)^3)-5*f^3*(d*e-c*f)^2*F^(a+b*_
--   (c+d*x)^2)/(b^2*d^6*log(F)^2)-15/4*f^4*(d*e-c*f)*F^(a+b*(c+d*x)^2)*_
--   (c+d*x)/(b^2*d^6*log(F)^2)-f^5*F^(a+b*(c+d*x)^2)*(c+d*x)^2/(b^2*d^6*_
--   log(F)^2)+5/2*f*(d*e-c*f)^4*F^(a+b*(c+d*x)^2)/(b*d^6*log(F))+5*f^2*_
--   (d*e-c*f)^3*F^(a+b*(c+d*x)^2)*(c+d*x)/(b*d^6*log(F))+5*f^3*_
--   (d*e-c*f)^2*F^(a+b*(c+d*x)^2)*(c+d*x)^2/(b*d^6*log(F))+5/2*f^4*_
--   (d*e-c*f)*F^(a+b*(c+d*x)^2)*(c+d*x)^3/(b*d^6*log(F))+1/2*f^5*F^(a+_

--   b*(c+d*x)^2)*(c+d*x)^4/(b*d^6*log(F))+15/8*f^4*(d*e-c*f)*F^a*_
--   erfi((c+d*x)*sqrt(b)*sqrt(log(F)))*sqrt(%pi)/(b^(5/2)*d^6*_
--   log(F)^(5/2))-5/2*f^2*(d*e-c*f)^3*F^a*erfi((c+d*x)*sqrt(b)*_
--   sqrt(log(F)))*sqrt(%pi)/(b^(3/2)*d^6*log(F)^(3/2))+1/2*(d*e-c*f)^5*_
--   F^a*erfi((c+d*x)*sqrt(b)*sqrt(log(F)))*sqrt(%pi)/(d^6*sqrt(b)*_
--   sqrt(log(F)))
--E 38
--S 39 of 602
--d0:=normalize(D(m0,x))
--E 39
)clear all
--S 40 of 602
t0:=F^(a+b*(c+d*x)^2)*(e+f*x)^4
--E 40
--S 41 of 602
--r0:=-2*f^3*(d*e-c*f)*F^(a+b*(c+d*x)^2)/(b^2*d^5*log(F)^2)-3/4*f^4*_
--   F^(a+b*(c+d*x)^2)*(c+d*x)/(b^2*d^5*log(F)^2)+2*f*(d*e-c*f)^3*_
--   F^(a+b*(c+d*x)^2)/(b*d^5*log(F))+3*f^2*(d*e-c*f)^2*F^(a+b*(c+d*_
--   x)^2)*(c+d*x)/(b*d^5*log(F))+2*f^3*(d*e-c*f)*F^(a+b*(c+d*x)^2)*_
--   (c+d*x)^2/(b*d^5*log(F))+1/2*f^4*F^(a+b*(c+d*x)^2)*(c+d*x)^3/_
--   (b*d^5*log(F))+3/8*f^4*F^a*erfi((c+d*x)*sqrt(b)*sqrt(log(F)))*_
--   sqrt(%pi)/(b^(5/2)*d^5*log(F)^(5/2))-3/2*f^2*(d*e-c*f)^2*F^a*_
--   erfi((c+d*x)*sqrt(b)*sqrt(log(F)))*sqrt(%pi)/(b^(3/2)*d^5*_
--   log(F)^(3/2))+1/2*(d*e-c*f)^4*F^a*erfi((c+d*x)*sqrt(b)*_
--   sqrt(log(F)))*sqrt(%pi)/(d^5*sqrt(b)*sqrt(log(F)))
--E 41
--S 42 of 602
--d0:=normalize(D(m0,x))
--E 42
)clear all
--S 43 of 602
t0:=F^(a+b*(c+d*x)^2)*(e+f*x)^3
--E 43
--S 44 of 602
--r0:=-1/2*f^3*F^(a+b*(c+d*x)^2)/(b^2*d^4*log(F)^2)+3/2*f*(d*e-c*f)^2*_
--   F^(a+b*(c+d*x)^2)/(b*d^4*log(F))+3/2*f^2*(d*e-c*f)*F^(a+b*(c+d*x)^2)*_
--   (c+d*x)/(b*d^4*log(F))+1/2*f^3*F^(a+b*(c+d*x)^2)*(c+d*x)^2/(b*d^4*_
--   log(F))-3/4*f^2*(d*e-c*f)*F^a*erfi((c+d*x)*sqrt(b)*sqrt(log(F)))*_
--   sqrt(%pi)/(b^(3/2)*d^4*log(F)^(3/2))+1/2*(d*e-c*f)^3*F^a*_
--   erfi((c+d*x)*sqrt(b)*sqrt(log(F)))*sqrt(%pi)/(d^4*sqrt(b)*sqrt(log(F)))
--E 44

--S 45 of 602
--d0:=normalize(D(m0,x))
--E 45
)clear all
--S 46 of 602
t0:=F^(a+b*(c+d*x)^2)*(e+f*x)^2
--E 46
--S 47 of 602
--r0:=f*(d*e-c*f)*F^(a+b*(c+d*x)^2)/(b*d^3*log(F))+1/2*f^2*F^(a+b*(c+_
--   d*x)^2)*(c+d*x)/(b*d^3*log(F))-1/4*f^2*F^a*erfi((c+d*x)*sqrt(b)*_
--   sqrt(log(F)))*sqrt(%pi)/(b^(3/2)*d^3*log(F)^(3/2))+1/2*(d*e-c*f)^2*_
--   F^a*erfi((c+d*x)*sqrt(b)*sqrt(log(F)))*sqrt(%pi)/(d^3*sqrt(b)*_
--   sqrt(log(F)))
--E 47
--S 48 of 602
--d0:=normalize(D(m0,x))
--E 48
)clear all
--S 49 of 602
t0:=F^(a+b*(c+d*x)^2)*(e+f*x)
--E 49
--S 50 of 602
--r0:=1/2*f*F^(a+b*(c+d*x)^2)/(b*d^2*log(F))+1/2*(d*e-c*f)*F^a*_
--   erfi((c+d*x)*sqrt(b)*sqrt(log(F)))*sqrt(%pi)/(d^2*sqrt(b)*sqrt(log(F)))
--E 50
--S 51 of 602
--d0:=normalize(D(m0,x))
--E 51
)clear all
--S 52 of 602
t0:=F^(a+b*(c+d*x)^2)
--E 52
--S 53 of 602
--r0:=1/2*F^a*erfi((c+d*x)*sqrt(b)*sqrt(log(F)))*sqrt(%pi)/(d*sqrt(b)*_
--   sqrt(log(F)))
--E 53
--S 54 of 602
--d0:=normalize(D(m0,x))

--E 54
)clear all
--S 55 of 602
t0:=F^(a+b*(c+d*x)^2)/(e+f*x)
--E 55
--S 56 of 602
--r0:=Int(F^(a+b*(c+d*x)^2)/(e+f*x),x)
--E 56
--S 57 of 602
--d0:=normalize(D(m0,x))
--E 57
)clear all
--S 58 of 602
t0:=F^(a+b*(c+d*x)^2)/(e+f*x)^2
--E 58
--S 59 of 602
--r0:=-F^(a+b*(c+d*x)^2)/(f*(e+f*x))+d*F^a*erfi((c+d*x)*sqrt(b)*_
--   sqrt(log(F)))*sqrt(%pi)*sqrt(b)*sqrt(log(F))/f^2-2*b*d*(d*e-c*f)*_
--   log(F)*Int(F^(a+b*(c+d*x)^2)/(e+f*x),x)/f^2
--E 59
--S 60 of 602
--d0:=normalize(D(m0,x))
--E 60
)clear all
--S 61 of 602
t0:=F^(a+b*(c+d*x)^2)/(e+f*x)^3
--E 61
--S 62 of 602
--r0:=-1/2*F^(a+b*(c+d*x)^2)/(f*(e+f*x)^2)+b*d*(d*e-c*f)*F^(a+b*(c+d*x)^2)*_
--   log(F)/(f^3*(e+f*x))-b^(3/2)*d^2*(d*e-c*f)*F^a*erfi((c+d*x)*sqrt(b)*_
--   sqrt(log(F)))*log(F)^(3/2)*sqrt(%pi)/f^4+b*d^2*log(F)*Int(F^(a+b*_
--   (c+d*x)^2)/(e+f*x),x)/f^2+2*b^2*d^2*(d*e-c*f)^2*log(F)^2*Int(F^(a+_
--   b*(c+d*x)^2)/(e+f*x),x)/f^4
--E 62
--S 63 of 602
--d0:=normalize(D(m0,x))
--E 63

)clear all
--S 64 of 602
t0:=%e^(e*(c+d*x)^3)*(a+b*x)^3
--E 64
--S 65 of 602
--r0:=-%e^(e*(c+d*x)^3)*b^2*(b*c-a*d)/(d^4*e)+1/3*(b*c-a*d)^3*(c+d*x)*_
--   GAMMA(1/3,-e*(c+d*x)^3)/(d^4*(-e*(c+d*x)^3)^(1/3))-b*(b*c-a*d)^2*_
--   (c+d*x)^2*GAMMA(2/3,-e*(c+d*x)^3)/(d^4*(-e*(c+d*x)^3)^(2/3))-_
--   1/3*b^3*(c+d*x)^4*GAMMA(4/3,-e*(c+d*x)^3)/(d^4*(-e*(c+d*x)^3)^(4/3))
--E 65
--S 66 of 602
--d0:=normalize(D(m0,x))
--E 66
)clear all
--S 67 of 602
t0:=%e^(e*(c+d*x)^3)*(a+b*x)^2
--E 67
--S 68 of 602
--r0:=1/3*%e^(e*(c+d*x)^3)*b^2/(d^3*e)-1/3*(b*c-a*d)^2*(c+d*x)*_
--   GAMMA(1/3,-e*(c+d*x)^3)/(d^3*(-e*(c+d*x)^3)^(1/3))+2/3*b*(b*c-a*d)*_
--   (c+d*x)^2*GAMMA(2/3,-e*(c+d*x)^3)/(d^3*(-e*(c+d*x)^3)^(2/3))
--E 68
--S 69 of 602
--d0:=normalize(D(m0,x))
--E 69
)clear all
--S 70 of 602
t0:=%e^(e*(c+d*x)^3)*(a+b*x)
--E 70
--S 71 of 602
--r0:=1/3*(b*c-a*d)*(c+d*x)*GAMMA(1/3,-e*(c+d*x)^3)/(d^2*(-e*_
--   (c+d*x)^3)^(1/3))-1/3*b*(c+d*x)^2*GAMMA(2/3,-e*(c+d*x)^3)/_
--   (d^2*(-e*(c+d*x)^3)^(2/3))
--E 71
--S 72 of 602
--d0:=normalize(D(m0,x))
--E 72
)clear all

--S 73 of 602
t0:=%e^(e*(c+d*x)^3)
--E 73
--S 74 of 602
--r0:=-1/3*(c+d*x)*GAMMA(1/3,-e*(c+d*x)^3)/(d*(-e*(c+d*x)^3)^(1/3))
--E 74
--S 75 of 602
--d0:=normalize(D(m0,x))
--E 75
)clear all
--S 76 of 602
t0:=%e^(e*(c+d*x)^3)/(a+b*x)
--E 76
--S 77 of 602
--r0:=Int(%e^(e*(c+d*x)^3)/(a+b*x),x)
--E 77
--S 78 of 602
--d0:=normalize(D(m0,x))
--E 78
)clear all
--S 79 of 602
t0:=%e^(e*(c+d*x)^3)/(a+b*x)^2
--E 79
--S 80 of 602
--r0:=-%e^(e*(c+d*x)^3)/(b*(a+b*x))-d*(b*c-a*d)*e*(c+d*x)*GAMMA(1/3,_
--   -e*(c+d*x)^3)/(b^3*(-e*(c+d*x)^3)^(1/3))-d*e*(c+d*x)^2*GAMMA(2/3,_
--   -e*(c+d*x)^3)/(b^2*(-e*(c+d*x)^3)^(2/3))+3*d*(b*c-a*d)^2*e*_
--   Int(%e^(e*(c+d*x)^3)/(a+b*x),x)/b^3
--E 80
--S 81 of 602
--d0:=normalize(D(m0,x))
--E 81
)clear all
--S 82 of 602
t0:=F^(a+b/(c+d*x))/(e+f*x)
--E 82

--S 83 of 602
--r0:=-F^a*Ei(b*log(F)/(c+d*x))/f+F^(a-b*f/(d*e-c*f))*Ei(b*d*(e+f*x)*_
--   log(F)/((d*e-c*f)*(c+d*x)))/f
--E 83
--S 84 of 602
--d0:=normalize(D(m0,x))
--E 84
)clear all
--S 85 of 602
t0:=F^(a+b/(c+d*x))/(e+f*x)^2
--E 85
--S 86 of 602
--r0:=d*F^(a+b/(c+d*x))/(f*(d*e-c*f))-F^(a+b/(c+d*x))/(f*(e+f*x))-_
--   b*d*F^(a-b*f/(d*e-c*f))*Ei(b*d*(e+f*x)*log(F)/((d*e-c*f)*(c+d*x)))*_
--   log(F)/(d*e-c*f)^2
--E 86
--S 87 of 602
--d0:=normalize(D(m0,x))
--E 87
)clear all
--S 88 of 602
t0:=F^(a+b/(c+d*x))/(e+f*x)^3
--E 88
--S 89 of 602
--r0:=1/2*d^2*F^(a+b/(c+d*x))/(f*(d*e-c*f)^2)-1/2*F^(a+b/(c+d*x))/_
--   (f*(e+f*x)^2)-1/2*b*d^2*F^(a+b/(c+d*x))*log(F)/(d*e-c*f)^3+1/2*b*_
--   d*F^(a+b/(c+d*x))*log(F)/((d*e-c*f)^2*(e+f*x))-b*d^2*F^(a-b*f/_
--   (d*e-c*f))*Ei(b*d*(e+f*x)*log(F)/((d*e-c*f)*(c+d*x)))*log(F)/_
--   (d*e-c*f)^3+1/2*b^2*d^2*f*F^(a-b*f/(d*e-c*f))*Ei(b*d*(e+f*x)*_
--   log(F)/((d*e-c*f)*(c+d*x)))*log(F)^2/(d*e-c*f)^4
--E 89
--S 90 of 602
--d0:=normalize(D(m0,x))
--E 90
)clear all
--S 91 of 602
t0:=F^(a+b/(c+d*x))/(e+f*x)^4
--E 91

--S 92 of 602
--r0:=1/3*d^3*F^(a+b/(c+d*x))/(f*(d*e-c*f)^3)-1/3*F^(a+b/(c+d*x))/_
--   (f*(e+f*x)^3)-5/6*b*d^3*F^(a+b/(c+d*x))*log(F)/(d*e-c*f)^4+1/6*b*_
--   d*F^(a+b/(c+d*x))*log(F)/((d*e-c*f)^2*(e+f*x)^2)+2/3*b*d^2*F^(a+_
--   b/(c+d*x))*log(F)/((d*e-c*f)^3*(e+f*x))-b*d^3*F^(a-b*f/(d*e-c*f))*_
--   Ei(b*d*(e+f*x)*log(F)/((d*e-c*f)*(c+d*x)))*log(F)/(d*e-c*f)^4+_
--   1/6*b^2*d^3*f*F^(a+b/(c+d*x))*log(F)^2/(d*e-c*f)^5-1/6*b^2*d^2*_
--   f*F^(a+b/(c+d*x))*log(F)^2/((d*e-c*f)^4*(e+f*x))+b^2*d^3*f*F^(a-_
--   b*f/(d*e-c*f))*Ei(b*d*(e+f*x)*log(F)/((d*e-c*f)*(c+d*x)))*log(F)^2/_
--   (d*e-c*f)^5-1/6*b^3*d^3*f^2*F^(a-b*f/(d*e-c*f))*Ei(b*d*(e+f*x)*_
--   log(F)/((d*e-c*f)*(c+d*x)))*log(F)^3/(d*e-c*f)^6
--E 92
--S 93 of 602
--d0:=normalize(D(m0,x))
--E 93
)clear all
--S 94 of 602
t0:=%e^(e/(c+d*x))*(a+b*x)^4
--E 94
--S 95 of 602
--r0:=%e^(e/(c+d*x))*(b*c-a*d)^4*(c+d*x)/d^5-2*%e^(e/(c+d*x))*b*_
--   (b*c-a*d)^3*e*(c+d*x)/d^5+%e^(e/(c+d*x))*b^2*(b*c-a*d)^2*e^2*_
--   (c+d*x)/d^5-2*%e^(e/(c+d*x))*b*(b*c-a*d)^3*(c+d*x)^2/d^5+%e^(e/_
--   (c+d*x))*b^2*(b*c-a*d)^2*e*(c+d*x)^2/d^5+2*%e^(e/(c+d*x))*b^2*_
--   (b*c-a*d)^2*(c+d*x)^3/d^5-(b*c-a*d)^4*e*Ei(e/(c+d*x))/d^5+2*b*_
--   (b*c-a*d)^3*e^2*Ei(e/(c+d*x))/d^5-b^2*(b*c-a*d)^2*e^3*Ei(e/(c+d*x))/_
--   d^5-b^4*e^5*GAMMA(-5,-e/(c+d*x))/d^5-4*b^3*(b*c-a*d)*e^4*_
--   GAMMA(-4,-e/(c+d*x))/d^5
--E 95
--S 96 of 602
--d0:=normalize(D(m0,x))
--E 96
)clear all
--S 97 of 602
t0:=%e^(e/(c+d*x))*(a+b*x)^3
--E 97
--S 98 of 602
--r0:=-%e^(e/(c+d*x))*(b*c-a*d)^3*(c+d*x)/d^4+3/2*%e^(e/(c+d*x))*b*_
--   (b*c-a*d)^2*e*(c+d*x)/d^4-1/2*%e^(e/(c+d*x))*b^2*(b*c-a*d)*e^2*_
--   (c+d*x)/d^4+3/2*%e^(e/(c+d*x))*b*(b*c-a*d)^2*(c+d*x)^2/d^4-_
--   1/2*%e^(e/(c+d*x))*b^2*(b*c-a*d)*e*(c+d*x)^2/d^4-%e^(e/(c+d*x))*_
--   b^2*(b*c-a*d)*(c+d*x)^3/d^4+(b*c-a*d)^3*e*Ei(e/(c+d*x))/d^4-3/2*_

--   b*(b*c-a*d)^2*e^2*Ei(e/(c+d*x))/d^4+1/2*b^2*(b*c-a*d)*e^3*_
--   Ei(e/(c+d*x))/d^4+b^3*e^4*GAMMA(-4,-e/(c+d*x))/d^4
--E 98
--S 99 of 602
--d0:=normalize(D(m0,x))
--E 99
)clear all
--S 100 of 602
t0:=%e^(e/(c+d*x))*(a+b*x)^2
--E 100
--S 101 of 602
--r0:=%e^(e/(c+d*x))*(b*c-a*d)^2*(c+d*x)/d^3-%e^(e/(c+d*x))*b*(b*c-a*d)*_
--   e*(c+d*x)/d^3+1/6*%e^(e/(c+d*x))*b^2*e^2*(c+d*x)/d^3-%e^(e/(c+d*x))*_
--   b*(b*c-a*d)*(c+d*x)^2/d^3+1/6*%e^(e/(c+d*x))*b^2*e*(c+d*x)^2/d^3+_
--   1/3*%e^(e/(c+d*x))*b^2*(c+d*x)^3/d^3-(b*c-a*d)^2*e*Ei(e/(c+d*x))/d^3+_
--   b*(b*c-a*d)*e^2*Ei(e/(c+d*x))/d^3-1/6*b^2*e^3*Ei(e/(c+d*x))/d^3
--E 101
--S 102 of 602
--d0:=normalize(D(m0,x))
--E 102
)clear all
--S 103 of 602
t0:=%e^(e/(c+d*x))*(a+b*x)
--E 103
--S 104 of 602
--r0:=-%e^(e/(c+d*x))*(b*c-a*d)*(c+d*x)/d^2+1/2*%e^(e/(c+d*x))*b*e*_
--   (c+d*x)/d^2+1/2*%e^(e/(c+d*x))*b*(c+d*x)^2/d^2+(b*c-a*d)*e*_
--   Ei(e/(c+d*x))/d^2-1/2*b*e^2*Ei(e/(c+d*x))/d^2
--E 104
--S 105 of 602
--d0:=normalize(D(m0,x))
--E 105
)clear all
--S 106 of 602
t0:=%e^(e/(c+d*x))
--E 106
--S 107 of 602
--r0:=%e^(e/(c+d*x))*(c+d*x)/d-e*Ei(e/(c+d*x))/d

--E 107
--S 108 of 602
--d0:=normalize(D(m0,x))
--E 108
)clear all
--S 109 of 602
t0:=%e^(e/(c+d*x))/(a+b*x)
--E 109
--S 110 of 602
--r0:=-Ei(e/(c+d*x))/b+%e^(b*e/(b*c-a*d))*Ei(-d*e*(a+b*x)/((b*c-a*d)*_
--   (c+d*x)))/b
--E 110
--S 111 of 602
--d0:=normalize(D(m0,x))
--E 111
)clear all
--S 112 of 602
t0:=%e^(e/(c+d*x))/(a+b*x)^2
--E 112
--S 113 of 602
--r0:=-%e^(e/(c+d*x))*d/(b*(b*c-a*d))-%e^(e/(c+d*x))/(b*(a+b*x))-%e^(b*_
--   e/(b*c-a*d))*d*e*Ei(-d*e*(a+b*x)/((b*c-a*d)*(c+d*x)))/(b*c-a*d)^2
--E 113
--S 114 of 602
--d0:=normalize(D(m0,x))
--E 114
)clear all
--S 115 of 602
t0:=%e^(e/(c+d*x))/(a+b*x)^3
--E 115
--S 116 of 602
--r0:=1/2*%e^(e/(c+d*x))*d^2/(b*(b*c-a*d)^2)+1/2*%e^(e/(c+d*x))*d^2*e/_
--   (b*c-a*d)^3-1/2*%e^(e/(c+d*x))/(b*(a+b*x)^2)+1/2*%e^(e/(c+d*x))*d*e/_
--   ((b*c-a*d)^2*(a+b*x))+%e^(b*e/(b*c-a*d))*d^2*e*Ei(-d*e*(a+b*x)/_
--   ((b*c-a*d)*(c+d*x)))/(b*c-a*d)^3+1/2*%e^(b*e/(b*c-a*d))*b*d^2*e^2*_
--   Ei(-d*e*(a+b*x)/((b*c-a*d)*(c+d*x)))/(b*c-a*d)^4
--E 116

)clear all
--S 118 of 602
t0:=%e^(e/(c+d*x)^2)*(a+b*x)^3
--E 118
--S 119 of 602
--r0:=-%e^(e/(c+d*x)^2)*(b*c-a*d)^3*(c+d*x)/d^4-2*%e^(e/(c+d*x)^2)*b^2*_
--   (b*c-a*d)*e*(c+d*x)/d^4+3/2*%e^(e/(c+d*x)^2)*b*(b*c-a*d)^2*(c+d*x)^2/_
--   d^4+1/4*%e^(e/(c+d*x)^2)*b^3*e*(c+d*x)^2/d^4-%e^(e/(c+d*x)^2)*b^2*_
--   (b*c-a*d)*(c+d*x)^3/d^4+1/4*%e^(e/(c+d*x)^2)*b^3*(c+d*x)^4/d^4-_
--   3/2*b*(b*c-a*d)^2*e*Ei(e/(c+d*x)^2)/d^4-1/4*b^3*e^2*Ei(e/(c+d*x)^2)/_
--   d^4+2*b^2*(b*c-a*d)*e^(3/2)*erfi(sqrt(e)/(c+d*x))*sqrt(%pi)/d^4+_
--   (b*c-a*d)^3*erfi(sqrt(e)/(c+d*x))*sqrt(%pi)*sqrt(e)/d^4
--E 119
--S 120 of 602
--d0:=normalize(D(m0,x))
--E 120
)clear all
--S 121 of 602
t0:=%e^(e/(c+d*x)^2)*(a+b*x)^2
--E 121
--S 122 of 602
--r0:=%e^(e/(c+d*x)^2)*(b*c-a*d)^2*(c+d*x)/d^3+2/3*%e^(e/(c+d*x)^2)*b^2*_
--   e*(c+d*x)/d^3-%e^(e/(c+d*x)^2)*b*(b*c-a*d)*(c+d*x)^2/d^3+_
--   1/3*%e^(e/(c+d*x)^2)*b^2*(c+d*x)^3/d^3+b*(b*c-a*d)*e*Ei(e/(c+_
--   d*x)^2)/d^3-2/3*b^2*e^(3/2)*erfi(sqrt(e)/(c+d*x))*sqrt(%pi)/d^3-_
--   (b*c-a*d)^2*erfi(sqrt(e)/(c+d*x))*sqrt(%pi)*sqrt(e)/d^3
--E 122
--S 123 of 602
--d0:=normalize(D(m0,x))
--E 123
)clear all
--S 124 of 602
t0:=%e^(e/(c+d*x)^2)*(a+b*x)
--E 124
--S 125 of 602
--r0:=-%e^(e/(c+d*x)^2)*(b*c-a*d)*(c+d*x)/d^2+1/2*%e^(e/(c+d*x)^2)*b*_

--   (c+d*x)^2/d^2-1/2*b*e*Ei(e/(c+d*x)^2)/d^2+(b*c-a*d)*erfi(sqrt(e)/_
--   (c+d*x))*sqrt(%pi)*sqrt(e)/d^2
--E 125
--S 126 of 602
--d0:=normalize(D(m0,x))
--E 126
)clear all
--S 127 of 602
t0:=%e^(e/(c+d*x)^2)
--E 127
--S 128 of 602
--r0:=%e^(e/(c+d*x)^2)*(c+d*x)/d-erfi(sqrt(e)/(c+d*x))*sqrt(%pi)*sqrt(e)/d
--E 128
--S 129 of 602
--d0:=normalize(D(m0,x))
--E 129
)clear all
--S 130 of 602
t0:=%e^(e/(c+d*x)^2)/(a+b*x)
--E 130
--S 131 of 602
--r0:=Int(%e^(e/(c+d*x)^2)/(a+b*x),x)
--E 131
--S 132 of 602
--d0:=normalize(D(m0,x))
--E 132
)clear all
--S 133 of 602
t0:=%e^(e/(c+d*x)^2)/(a+b*x)^2
--E 133
--S 134 of 602
--r0:=Int(%e^(e/(c+d*x)^2)/(a+b*x)^2,x)
--E 134
--S 135 of 602
--d0:=normalize(D(m0,x))
--E 135

--S 136 of 602
t0:=%e^(e/(c+d*x)^2)/(a+b*x)^3
--E 136
--S 137 of 602
--r0:=Int(%e^(e/(c+d*x)^2)/(a+b*x)^3,x)
--E 137
--S 138 of 602
--d0:=normalize(D(m0,x))
--E 138
)clear all
--S 139 of 602
t0:=%e^(e/(c+d*x)^3)*(a+b*x)^3
--E 139
--S 140 of 602
--r0:=-%e^(e/(c+d*x)^3)*b^2*(b*c-a*d)*(c+d*x)^3/d^4+b^2*(b*c-a*d)*e*_
--   Ei(e/(c+d*x)^3)/d^4+1/3*b^3*(-e/(c+d*x)^3)^(4/3)*(c+d*x)^4*_
--   GAMMA(-4/3,-e/(c+d*x)^3)/d^4+b*(b*c-a*d)^2*(-e/(c+d*x)^3)^(2/3)*_
--   (c+d*x)^2*GAMMA(-2/3,-e/(c+d*x)^3)/d^4-1/3*(b*c-a*d)^3*(-e/(c+_
--   d*x)^3)^(1/3)*(c+d*x)*GAMMA(-1/3,-e/(c+d*x)^3)/d^4
--E 140
--S 141 of 602
--d0:=normalize(D(m0,x))
--E 141
)clear all
--S 142 of 602
t0:=%e^(e/(c+d*x)^3)*(a+b*x)^2
--E 142
--S 143 of 602
--r0:=1/3*%e^(e/(c+d*x)^3)*b^2*(c+d*x)^3/d^3-1/3*b^2*e*Ei(e/(c+d*x)^3)/d^3-_
--   2/3*b*(b*c-a*d)*(-e/(c+d*x)^3)^(2/3)*(c+d*x)^2*GAMMA(-2/3,-e/_
--   (c+d*x)^3)/d^3+1/3*(b*c-a*d)^2*(-e/(c+d*x)^3)^(1/3)*(c+d*x)*_
--   GAMMA(-1/3,-e/(c+d*x)^3)/d^3
--E 143
--S 144 of 602
--d0:=normalize(D(m0,x))
--E 144
)clear all

--S 145 of 602
t0:=%e^(e/(c+d*x)^3)*(a+b*x)
--E 145
--S 146 of 602
--r0:=1/3*b*(-e/(c+d*x)^3)^(2/3)*(c+d*x)^2*GAMMA(-2/3,-e/(c+d*x)^3)/d^2-_
--   1/3*(b*c-a*d)*(-e/(c+d*x)^3)^(1/3)*(c+d*x)*GAMMA(-1/3,-e/(c+d*x)^3)/d^2
--E 146
--S 147 of 602
--d0:=normalize(D(m0,x))
--E 147
)clear all
--S 148 of 602
t0:=%e^(e/(c+d*x)^3)
--E 148
--S 149 of 602
--r0:=1/3*(-e/(c+d*x)^3)^(1/3)*(c+d*x)*GAMMA(-1/3,-e/(c+d*x)^3)/d
--E 149
--S 150 of 602
--d0:=normalize(D(m0,x))
--E 150
)clear all
--S 151 of 602
t0:=%e^(e/(c+d*x)^3)/(a+b*x)
--E 151
--S 152 of 602
--r0:=Int(%e^(e/(c+d*x)^3)/(a+b*x),x)
--E 152
--S 153 of 602
--d0:=normalize(D(m0,x))
--E 153
)clear all
--S 154 of 602
t0:=%e^(e/(c+d*x)^3)/(a+b*x)^2
--E 154
--S 155 of 602
--r0:=Int(%e^(e/(c+d*x)^3)/(a+b*x)^2,x)

--E 155
--S 156 of 602
--d0:=normalize(D(m0,x))
--E 156
)clear all
--S 157 of 602
t0:=F^(e+f*(a+b*x)/(c+d*x))/(g+h*x)
--E 157
--S 158 of 602
--r0:=-F^(e+b*f/d)*Ei(-(b*c-a*d)*f*log(F)/(d*(c+d*x)))/h+F^(e+f*(b*g-a*h)/_
--   (d*g-c*h))*Ei(-(b*c-a*d)*f*(g+h*x)*log(F)/((d*g-c*h)*(c+d*x)))/h
--E 158
--S 159 of 602
--d0:=normalize(D(m0,x))
--E 159
)clear all
--S 160 of 602
t0:=F^(e+f*(a+b*x)/(c+d*x))/(g+h*x)^2
--E 160
--S 161 of 602
--r0:=d*F^(e+b*f/d-(b*c-a*d)*f/(d*(c+d*x)))/(h*(d*g-c*h))-F^(e+f*(a+b*x)/_
--   (c+d*x))/(h*(g+h*x))+(b*c-a*d)*f*F^(e+f*(b*g-a*h)/(d*g-c*h))*_
--   Ei(-(b*c-a*d)*f*(g+h*x)*log(F)/((d*g-c*h)*(c+d*x)))*log(F)/(d*g-c*h)^2
--E 161
--S 162 of 602
--d0:=normalize(D(m0,x))
--E 162
)clear all
--S 163 of 602
t0:=F^(e+f*(a+b*x)/(c+d*x))/(g+h*x)^3
--E 163
--S 164 of 602
--r0:=1/2*d^2*F^(e+b*f/d-(b*c-a*d)*f/(d*(c+d*x)))/(h*(d*g-c*h)^2)-_
--   1/2*F^(e+f*(a+b*x)/(c+d*x))/(h*(g+h*x)^2)+1/2*d*(b*c-a*d)*f*F^(e+_
--   b*f/d-(b*c-a*d)*f/(d*(c+d*x)))*log(F)/(d*g-c*h)^3-1/2*(b*c-a*d)*f*_
--   F^(e+f*(a+b*x)/(c+d*x))*log(F)/((d*g-c*h)^2*(g+h*x))+d*(b*c-a*d)*f*_
--   F^(e+f*(b*g-a*h)/(d*g-c*h))*Ei(-(b*c-a*d)*f*(g+h*x)*log(F)/((d*g-c*h)*_
--   (c+d*x)))*log(F)/(d*g-c*h)^3+1/2*(b*c-a*d)^2*f^2*F^(e+f*(b*g-a*h)/_

--   (d*g-c*h))*h*Ei(-(b*c-a*d)*f*(g+h*x)*log(F)/((d*g-c*h)*(c+d*x)))*_
--   log(F)^2/(d*g-c*h)^4
--E 164
--S 165 of 602
--d0:=normalize(D(m0,x))
--E 165
)clear all
--S 166 of 602
t0:=F^(e+f*(a+b*x)/(c+d*x))/(g+h*x)^4
--E 166
--S 167 of 602
--r0:=1/3*d^3*F^(e+b*f/d-(b*c-a*d)*f/(d*(c+d*x)))/(h*(d*g-c*h)^3)-_
--   1/3*F^(e+f*(a+b*x)/(c+d*x))/(h*(g+h*x)^3)+5/6*d^2*(b*c-a*d)*f*_
--   F^(e+b*f/d-(b*c-a*d)*f/(d*(c+d*x)))*log(F)/(d*g-c*h)^4-1/6*(b*c-_
--   a*d)*f*F^(e+f*(a+b*x)/(c+d*x))*log(F)/((d*g-c*h)^2*(g+h*x)^2)-_
--   2/3*d*(b*c-a*d)*f*F^(e+f*(a+b*x)/(c+d*x))*log(F)/((d*g-c*h)^3*_
--   (g+h*x))+d^2*(b*c-a*d)*f*F^(e+f*(b*g-a*h)/(d*g-c*h))*Ei(-(b*c-a*d)*_
--   f*(g+h*x)*log(F)/((d*g-c*h)*(c+d*x)))*log(F)/(d*g-c*h)^4+1/6*d*_
--   (b*c-a*d)^2*f^2*F^(e+b*f/d-(b*c-a*d)*f/(d*(c+d*x)))*h*log(F)^2/_
--   (d*g-c*h)^5-1/6*(b*c-a*d)^2*f^2*F^(e+f*(a+b*x)/(c+d*x))*h*log(F)^2/_
--   ((d*g-c*h)^4*(g+h*x))+d*(b*c-a*d)^2*f^2*F^(e+f*(b*g-a*h)/(d*g-c*h))*_
--   h*Ei(-(b*c-a*d)*f*(g+h*x)*log(F)/((d*g-c*h)*(c+d*x)))*log(F)^2/_
--   (d*g-c*h)^5+1/6*(b*c-a*d)^3*f^3*F^(e+f*(b*g-a*h)/(d*g-c*h))*h^2*_
--   Ei(-(b*c-a*d)*f*(g+h*x)*log(F)/((d*g-c*h)*(c+d*x)))*log(F)^3/(d*g-c*h)^6
--E 167
--S 168 of 602
--d0:=normalize(D(m0,x))
--E 168
)clear all
--S 169 of 602
t0:=f^(a+b*x+c*x^2)*x^3
--E 169
--S 170 of 602
--r0:=-1/2*f^(a+b*x+c*x^2)/(c^2*log(f)^2)+1/8*b^2*f^(a+b*x+c*x^2)/(c^3*_
--   log(f))-1/4*b*f^(a+b*x+c*x^2)*x/(c^2*log(f))+1/2*f^(a+b*x+c*x^2)*x^2/_
--   (c*log(f))+3/8*b*f^(a-1/4*b^2/c)*erfi(1/2*(b+2*c*x)*sqrt(log(f))/_
--   sqrt(c))*sqrt(%pi)/(c^(5/2)*log(f)^(3/2))-1/16*b^3*f^(a-1/4*b^2/c)*_
--   erfi(1/2*(b+2*c*x)*sqrt(log(f))/sqrt(c))*sqrt(%pi)/(c^(7/2)*sqrt(log(f)))
--E 170
--S 171 of 602
--d0:=normalize(D(m0,x))

--E 171
)clear all
--S 172 of 602
t0:=f^(a+b*x+c*x^2)*x^2
--E 172
--S 173 of 602
--r0:=-1/4*b*f^(a+b*x+c*x^2)/(c^2*log(f))+1/2*f^(a+b*x+c*x^2)*x/(c*log(f))-_
--   1/4*f^(a-1/4*b^2/c)*erfi(1/2*(b+2*c*x)*sqrt(log(f))/sqrt(c))*_
--   sqrt(%pi)/(c^(3/2)*log(f)^(3/2))+1/8*b^2*f^(a-1/4*b^2/c)*_
--   erfi(1/2*(b+2*c*x)*sqrt(log(f))/sqrt(c))*sqrt(%pi)/(c^(5/2)*sqrt(log(f)))
--E 173
--S 174 of 602
--d0:=normalize(D(m0,x))
--E 174
)clear all
--S 175 of 602
t0:=f^(a+b*x+c*x^2)*x
--E 175
--S 176 of 602
--r0:=1/2*f^(a+b*x+c*x^2)/(c*log(f))-1/4*b*f^(a-1/4*b^2/c)*erfi(1/2*_
--   (b+2*c*x)*sqrt(log(f))/sqrt(c))*sqrt(%pi)/(c^(3/2)*sqrt(log(f)))
--E 176
--S 177 of 602
--d0:=normalize(D(m0,x))
--E 177
)clear all
--S 178 of 602
t0:=f^(a+b*x+c*x^2)
--E 178
--S 179 of 602
--r0:=1/2*f^(a-1/4*b^2/c)*erfi(1/2*(b+2*c*x)*sqrt(log(f))/sqrt(c))*_
--   sqrt(%pi)/(sqrt(c)*sqrt(log(f)))
--E 179
--S 180 of 602
--d0:=normalize(D(m0,x))
--E 180
)clear all

--S 181 of 602
t0:=f^(a+b*x+c*x^2)/x
--E 181
--S 182 of 602
--r0:=Int(f^(a+b*x+c*x^2)/x,x)
--E 182
--S 183 of 602
--d0:=normalize(D(m0,x))
--E 183
)clear all
--S 184 of 602
t0:=f^(a+b*x+c*x^2)/x^2
--E 184
--S 185 of 602
--r0:=-f^(a+b*x+c*x^2)/x+b*Int(f^(a+b*x+c*x^2)/x,x)*log(f)+f^(a-1/4*b^2/c)*_
--   erfi(1/2*(b+2*c*x)*sqrt(log(f))/sqrt(c))*sqrt(%pi)*sqrt(c)*sqrt(log(f))
--E 185
--S 186 of 602
--d0:=normalize(D(m0,x))
--E 186
)clear all
--S 187 of 602
t0:=%e^(a+b*x-c*x^2)*x^3
--E 187
--S 188 of 602
--r0:=-1/8*%e^(a+b*x-c*x^2)*b^2/c^3-1/2*%e^(a+b*x-c*x^2)/c^2-1/4*%e^(a+_
--   b*x-c*x^2)*b*x/c^2-1/2*%e^(a+b*x-c*x^2)*x^2/c-1/16*%e^(a+1/4*b^2/c)*_
--   b^3*erf(1/2*(b-2*c*x)/sqrt(c))*sqrt(%pi)/c^(7/2)-3/8*%e^(a+1/4*b^2/c)*_
--   b*erf(1/2*(b-2*c*x)/sqrt(c))*sqrt(%pi)/c^(5/2)
--E 188
--S 189 of 602
--d0:=normalize(D(m0,x))
--E 189
)clear all
--S 190 of 602
t0:=%e^(a+b*x-c*x^2)*x^2
--E 190

--S 191 of 602
--r0:=-1/4*%e^(a+b*x-c*x^2)*b/c^2-1/2*%e^(a+b*x-c*x^2)*x/c-1/8*%e^(a+1/4*_
--   b^2/c)*b^2*erf(1/2*(b-2*c*x)/sqrt(c))*sqrt(%pi)/c^(5/2)-1/4*%e^(a+_
--   1/4*b^2/c)*erf(1/2*(b-2*c*x)/sqrt(c))*sqrt(%pi)/c^(3/2)
--E 191
--S 192 of 602
--d0:=normalize(D(m0,x))
--E 192
)clear all
--S 193 of 602
t0:=%e^(a+b*x-c*x^2)*x
--E 193
--S 194 of 602
--r0:=-1/2*%e^(a+b*x-c*x^2)/c-1/4*%e^(a+1/4*b^2/c)*b*erf(1/2*(b-2*c*x)/_
--   sqrt(c))*sqrt(%pi)/c^(3/2)
--E 194
--S 195 of 602
--d0:=normalize(D(m0,x))
--E 195
)clear all
--S 196 of 602
t0:=%e^(a+b*x-c*x^2)
--E 196
--S 197 of 602
--r0:=-1/2*%e^(a+1/4*b^2/c)*erf(1/2*(b-2*c*x)/sqrt(c))*sqrt(%pi)/sqrt(c)
--E 197
--S 198 of 602
--d0:=normalize(D(m0,x))
--E 198
)clear all
--S 199 of 602
t0:=%e^(a+b*x-c*x^2)/x
--E 199
--S 200 of 602
--r0:=Int(%e^(a+b*x-c*x^2)/x,x)
--E 200

)clear all
--S 202 of 602
t0:=%e^(a+b*x-c*x^2)/x^2
--E 202
--S 203 of 602
--r0:=-%e^(a+b*x-c*x^2)/x+b*Int(%e^(a+b*x-c*x^2)/x,x)+%e^(a+1/4*b^2/c)*_
--   erf(1/2*(b-2*c*x)/sqrt(c))*sqrt(%pi)*sqrt(c)
--E 203
--S 204 of 602
--d0:=normalize(D(m0,x))
--E 204
)clear all
--S 205 of 602
t0:=%e^((a+b*x)*(c+d*x))*x^3
--E 205
--S 206 of 602
--r0:=-1/2*%e^(a*c+(b*c+a*d)*x+b*d*x^2)/(b^2*d^2)+1/8*%e^(a*c+(b*c+a*d)*x+_
--   b*d*x^2)*(b*c+a*d)^2/(b^3*d^3)-1/4*%e^(a*c+(b*c+a*d)*x+b*d*x^2)*_
--   (b*c+a*d)*x/(b^2*d^2)+1/2*%e^(a*c+(b*c+a*d)*x+b*d*x^2)*x^2/(b*d)+_
--   3/8*(b*c+a*d)*erfi(1/2*(b*c+a*d+2*b*d*x)/(sqrt(b)*sqrt(d)))*_
--   sqrt(%pi)/(%e^(1/4*(b*c-a*d)^2/(b*d))*b^(5/2)*d^(5/2))-1/16*(b*c+_
--   a*d)^3*erfi(1/2*(b*c+a*d+2*b*d*x)/(sqrt(b)*sqrt(d)))*sqrt(%pi)/_
--   (%e^(1/4*(b*c-a*d)^2/(b*d))*b^(7/2)*d^(7/2))
--E 206
--S 207 of 602
--d0:=normalize(D(m0,x))
--E 207
)clear all
--S 208 of 602
t0:=%e^((a+b*x)*(c+d*x))*x^2
--E 208
--S 209 of 602
--r0:=-1/4*%e^(a*c+(b*c+a*d)*x+b*d*x^2)*(b*c+a*d)/(b^2*d^2)+1/2*%e^(a*c+_
--   (b*c+a*d)*x+b*d*x^2)*x/(b*d)-1/4*erfi(1/2*(b*c+a*d+2*b*d*x)/(sqrt(b)*_
--   sqrt(d)))*sqrt(%pi)/(%e^(1/4*(b*c-a*d)^2/(b*d))*b^(3/2)*d^(3/2))+_
--   1/8*(b*c+a*d)^2*erfi(1/2*(b*c+a*d+2*b*d*x)/(sqrt(b)*sqrt(d)))*_

--   sqrt(%pi)/(%e^(1/4*(b*c-a*d)^2/(b*d))*b^(5/2)*d^(5/2))
--E 209
--S 210 of 602
--d0:=normalize(D(m0,x))
--E 210
)clear all
--S 211 of 602
t0:=%e^((a+b*x)*(c+d*x))*x
--E 211
--S 212 of 602
--r0:=1/2*%e^(a*c+(b*c+a*d)*x+b*d*x^2)/(b*d)-1/4*(b*c+a*d)*erfi(1/2*(b*c+_
--   a*d+2*b*d*x)/(sqrt(b)*sqrt(d)))*sqrt(%pi)/(%e^(1/4*(b*c-a*d)^2/_
--   (b*d))*b^(3/2)*d^(3/2))
--E 212
--S 213 of 602
--d0:=normalize(D(m0,x))
--E 213
)clear all
--S 214 of 602
t0:=%e^((a+b*x)*(c+d*x))
--E 214
--S 215 of 602
--r0:=1/2*erfi(1/2*(b*c+a*d+2*b*d*x)/(sqrt(b)*sqrt(d)))*sqrt(%pi)/_
--   (%e^(1/4*(b*c-a*d)^2/(b*d))*sqrt(b)*sqrt(d))
--E 215
--S 216 of 602
--d0:=normalize(D(m0,x))
--E 216
)clear all
--S 217 of 602
t0:=%e^((a+b*x)*(c+d*x))/x
--E 217
--S 218 of 602
--r0:=Int(%e^(a*c+(b*c+a*d)*x+b*d*x^2)/x,x)
--E 218
--S 219 of 602
--d0:=normalize(D(m0,x))

--E 219
)clear all
--S 220 of 602
t0:=%e^((a+b*x)*(c+d*x))/x^2
--E 220
--S 221 of 602
--r0:=-%e^(a*c+(b*c+a*d)*x+b*d*x^2)/x+(b*c+a*d)*Int(%e^(a*c+(b*c+a*d)*x+_
--   b*d*x^2)/x,x)+erfi(1/2*(b*c+a*d+2*b*d*x)/(sqrt(b)*sqrt(d)))*_
--   sqrt(%pi)*sqrt(b)*sqrt(d)/%e^(1/4*(b*c-a*d)^2/(b*d))
--E 221
--S 222 of 602
--d0:=normalize(D(m0,x))
--E 222
)clear all
--S 223 of 602
t0:=f^(a+b*x+c*x^2)*(d+e*x)^3
--E 223
--S 224 of 602
--r0:=-1/2*e^3*f^(a+b*x+c*x^2)/(c^2*log(f)^2)+1/8*e*(2*c*d-b*e)^2*f^(a+b*x+_
--   c*x^2)/(c^3*log(f))+1/4*e*(2*c*d-b*e)*f^(a+b*x+c*x^2)*(d+e*x)/(c^2*_
--   log(f))+1/2*e*f^(a+b*x+c*x^2)*(d+e*x)^2/(c*log(f))-3/8*e^2*(2*c*d-_
--   b*e)*f^(a-1/4*b^2/c)*erfi(1/2*(b+2*c*x)*sqrt(log(f))/sqrt(c))*_
--   sqrt(%pi)/(c^(5/2)*log(f)^(3/2))+1/16*(2*c*d-b*e)^3*f^(a-1/4*b^2/c)*_
--   erfi(1/2*(b+2*c*x)*sqrt(log(f))/sqrt(c))*sqrt(%pi)/(c^(7/2)*sqrt(log(f)))
--E 224
--S 225 of 602
--d0:=normalize(D(m0,x))
--E 225
)clear all
--S 226 of 602
t0:=f^(a+b*x+c*x^2)*(d+e*x)^2
--E 226
--S 227 of 602
--r0:=1/4*e*(2*c*d-b*e)*f^(a+b*x+c*x^2)/(c^2*log(f))+1/2*e*f^(a+b*x+c*x^2)*_
--   (d+e*x)/(c*log(f))-1/4*e^2*f^(a-1/4*b^2/c)*erfi(1/2*(b+2*c*x)*_
--   sqrt(log(f))/sqrt(c))*sqrt(%pi)/(c^(3/2)*log(f)^(3/2))+1/8*(2*c*d-_
--   b*e)^2*f^(a-1/4*b^2/c)*erfi(1/2*(b+2*c*x)*sqrt(log(f))/sqrt(c))*_
--   sqrt(%pi)/(c^(5/2)*sqrt(log(f)))
--E 227

)clear all
--S 229 of 602
t0:=f^(a+b*x+c*x^2)*(d+e*x)
--E 229
--S 230 of 602
--r0:=1/2*e*f^(a+b*x+c*x^2)/(c*log(f))+1/4*(2*c*d-b*e)*f^(a-1/4*b^2/c)*_
--   erfi(1/2*(b+2*c*x)*sqrt(log(f))/sqrt(c))*sqrt(%pi)/(c^(3/2)*sqrt(log(f)))
--E 230
--S 231 of 602
--d0:=normalize(D(m0,x))
--E 231
)clear all
--S 232 of 602
t0:=f^(a+b*x+c*x^2)/(d+e*x)
--E 232
--S 233 of 602
--r0:=Int(f^(a+b*x+c*x^2)/(d+e*x),x)
--E 233
--S 234 of 602
--d0:=normalize(D(m0,x))
--E 234
)clear all
--S 235 of 602
t0:=f^(a+b*x+c*x^2)/(d+e*x)^2
--E 235
--S 236 of 602
--r0:=-f^(a+b*x+c*x^2)/(e*(d+e*x))-(2*c*d-b*e)*Int(f^(a+b*x+c*x^2)/_
--   (d+e*x),x)*log(f)/e^2+f^(a-1/4*b^2/c)*erfi(1/2*(b+2*c*x)*_
--   sqrt(log(f))/sqrt(c))*sqrt(%pi)*sqrt(c)*sqrt(log(f))/e^2
--E 236
--S 237 of 602
--d0:=normalize(D(m0,x))
--E 237

--S 238 of 602
t0:=f^(a+b*x+c*x^2)/(d+e*x)^3
--E 238
--S 239 of 602
--r0:=-1/2*f^(a+b*x+c*x^2)/(e*(d+e*x)^2)+1/2*(2*c*d-b*e)*f^(a+b*x+c*x^2)*_
--   log(f)/(e^3*(d+e*x))+c*Int(f^(a+b*x+c*x^2)/(d+e*x),x)*log(f)/e^2+_
--   1/2*(2*c*d-b*e)^2*Int(f^(a+b*x+c*x^2)/(d+e*x),x)*log(f)^2/e^4-_
--   1/2*(2*c*d-b*e)*f^(a-1/4*b^2/c)*erfi(1/2*(b+2*c*x)*sqrt(log(f))/_
--   sqrt(c))*log(f)^(3/2)*sqrt(%pi)*sqrt(c)/e^4
--E 239
--S 240 of 602
--d0:=normalize(D(m0,x))
--E 240
)clear all
--S 241 of 602
t0:=f^(a+b*x+c*x^2)*(b+2*c*x)^3
--E 241
--S 242 of 602
r0:=-4*c*f^(a+b*x+c*x^2)/log(f)^2+f^(a+b*x+c*x^2)*(b+2*c*x)^2/log(f)
--E 242
--S 243 of 602
d0:=normalize(D(m0,x))
--E 243
)clear all
--S 244 of 602
t0:=f^(a+b*x+c*x^2)*(b+2*c*x)^2
--E 244
--S 245 of 602
--r0:=f^(a+b*x+c*x^2)*(b+2*c*x)/log(f)-f^(a-1/4*b^2/c)*erfi(1/2*(b+2*c*x)*_
--   sqrt(log(f))/sqrt(c))*sqrt(%pi)*sqrt(c)/log(f)^(3/2)
--E 245
--S 246 of 602
--d0:=normalize(D(m0,x))
--E 246
)clear all
--S 247 of 602

t0:=f^(a+b*x+c*x^2)*(b+2*c*x)
--E 247
--S 248 of 602
r0:=f^(a+b*x+c*x^2)/log(f)
--E 248
--S 249 of 602
d0:=normalize(D(m0,x))
--E 249
)clear all
--S 250 of 602
t0:=f^(a+b*x+c*x^2)/(b+2*c*x)
--E 250
--S 251 of 602
--r0:=1/4*f^(a-1/4*b^2/c)*Ei(1/4*(b+2*c*x)^2*log(f)/c)/c
--E 251
--S 252 of 602
--d0:=normalize(D(m0,x))
--E 252
)clear all
--S 253 of 602
t0:=f^(a+b*x+c*x^2)/(b+2*c*x)^2
--E 253
--S 254 of 602
--r0:=-1/2*f^(a+b*x+c*x^2)/(c*(b+2*c*x))+1/4*f^(a-1/4*b^2/c)*_
--   erfi(1/2*(b+2*c*x)*sqrt(log(f))/sqrt(c))*sqrt(%pi)*sqrt(log(f))/c^(3/2)
--E 254
--S 255 of 602
--d0:=normalize(D(m0,x))
--E 255
)clear all
--S 256 of 602
t0:=f^(a+b*x+c*x^2)/(b+2*c*x)^3
--E 256
--S 257 of 602
--r0:=-1/4*f^(a+b*x+c*x^2)/(c*(b+2*c*x)^2)+1/16*f^(a-1/4*b^2/c)*_
--   Ei(1/4*(b+2*c*x)^2*log(f)/c)*log(f)/c^2
--E 257

)clear all
--S 259 of 602
t0:=f^(b*x+c*x^2)*(b+2*c*x)^3
--E 259
--S 260 of 602
r0:=-4*c*f^(b*x+c*x^2)/log(f)^2+f^(b*x+c*x^2)*(b+2*c*x)^2/log(f)
--E 260
--S 261 of 602
d0:=normalize(D(m0,x))
--E 261
)clear all
--S 262 of 602
t0:=f^(b*x+c*x^2)*(b+2*c*x)^2
--E 262
--S 263 of 602
--r0:=f^(b*x+c*x^2)*(b+2*c*x)/log(f)-erfi(1/2*(b+2*c*x)*sqrt(log(f))/_
--   sqrt(c))*sqrt(%pi)*sqrt(c)/(f^(1/4*b^2/c)*log(f)^(3/2))
--E 263
--S 264 of 602
--d0:=normalize(D(m0,x))
--E 264
)clear all
--S 265 of 602
t0:=f^(b*x+c*x^2)*(b+2*c*x)
--E 265
--S 266 of 602
r0:=f^(b*x+c*x^2)/log(f)
--E 266
--S 267 of 602
d0:=normalize(D(m0,x))
--E 267
)clear all

--S 268 of 602
t0:=f^(b*x+c*x^2)/(b+2*c*x)
--E 268
--S 269 of 602
--r0:=1/4*Ei(1/4*(b+2*c*x)^2*log(f)/c)/(c*f^(1/4*b^2/c))
--E 269
--S 270 of 602
--d0:=normalize(D(m0,x))
--E 270
)clear all
--S 271 of 602
t0:=f^(b*x+c*x^2)/(b+2*c*x)^2
--E 271
--S 272 of 602
--r0:=-1/2*f^(b*x+c*x^2)/(c*(b+2*c*x))+1/4*erfi(1/2*(b+2*c*x)*_
--   sqrt(log(f))/sqrt(c))*sqrt(%pi)*sqrt(log(f))/(c^(3/2)*f^(1/4*b^2/c))
--E 272
--S 273 of 602
--d0:=normalize(D(m0,x))
--E 273
)clear all
--S 274 of 602
t0:=f^(b*x+c*x^2)/(b+2*c*x)^3
--E 274
--S 275 of 602
--r0:=-1/4*f^(b*x+c*x^2)/(c*(b+2*c*x)^2)+1/16*Ei(1/4*(b+2*c*x)^2*_
--   log(f)/c)*log(f)/(c^2*f^(1/4*b^2/c))
--E 275
--S 276 of 602
--d0:=normalize(D(m0,x))
--E 276
)clear all
--S 277 of 602
t0:=x^3*sqrt(%e^(a+b*x))
--E 277
--S 278 of 602
r0:=-96*sqrt(%e^(a+b*x))/b^4+48*x*sqrt(%e^(a+b*x))/b^3-12*x^2*_

   sqrt(%e^(a+b*x))/b^2+2*x^3*sqrt(%e^(a+b*x))/b
--E 278
-- integrate: implementation incomplete (constant residues)
--S 279 of 602
--d0:=normalize(D(m0,x))
--E 279
)clear all
--S 280 of 602
t0:=x^2*sqrt(%e^(a+b*x))
--E 280
--S 281 of 602
r0:=16*sqrt(%e^(a+b*x))/b^3-8*x*sqrt(%e^(a+b*x))/b^2+2*x^2*sqrt(%e^(a+b*x))/b
--E 281
-- integrate: implementation incomplete (constant residues)
--S 282 of 602
--d0:=normalize(D(m0,x))
--E 282
)clear all
--S 283 of 602
t0:=x*sqrt(%e^(a+b*x))
--E 283
--S 284 of 602
r0:=-4*sqrt(%e^(a+b*x))/b^2+2*x*sqrt(%e^(a+b*x))/b
--E 284
-- integrate: implementation incomplete (constant residues)
--S 285 of 602
--d0:=normalize(D(m0,x))
--E 285
)clear all
--S 286 of 602
t0:=sqrt(%e^(a+b*x))
--E 286
--S 287 of 602
r0:=2*sqrt(%e^(a+b*x))/b
--E 287
--S 288 of 602
d0:=normalize(D(m0,x))

--E 288
)clear all
--S 289 of 602
t0:=sqrt(%e^(a+b*x))/x
--E 289
--S 290 of 602
--r0:=Ei(1/2*b*x)*sqrt(%e^(a+b*x))/%e^(1/2*b*x)
--E 290
--S 291 of 602
--d0:=normalize(D(m0,x))
--E 291
)clear all
--S 292 of 602
t0:=sqrt(%e^(a+b*x))/x^2
--E 292
--S 293 of 602
--r0:=-sqrt(%e^(a+b*x))/x+1/2*b*Ei(1/2*b*x)*sqrt(%e^(a+b*x))/%e^(1/2*b*x)
--E 293
--S 294 of 602
--d0:=normalize(D(m0,x))
--E 294
)clear all
--S 295 of 602
t0:=sqrt(%e^(a+b*x))/x^3
--E 295
--S 296 of 602
--r0:=-1/2*sqrt(%e^(a+b*x))/x^2-1/4*b*sqrt(%e^(a+b*x))/x+1/8*b^2*_
--   Ei(1/2*b*x)*sqrt(%e^(a+b*x))/%e^(1/2*b*x)
--E 296
--S 297 of 602
--d0:=normalize(D(m0,x))
--E 297
)clear all
--S 298 of 602
t0:=1/((a+%e^(c+d*x)*b)*x)
--E 298

--S 299 of 602
--r0:=Int(1/((a+%e^(c+d*x)*b)*x),x)
--E 299
--S 300 of 602
--d0:=normalize(D(m0,x))
--E 300
)clear all
--S 301 of 602
t0:=1/(a+%e^(c+d*x)*b)
--E 301
--S 302 of 602
r0:=x/a-log(a+%e^(c+d*x)*b)/(a*d)
--E 302
--S 303 of 602
d0:=normalize(D(m0,x))
--E 303
)clear all
--S 304 of 602
t0:=x/(a+%e^(c+d*x)*b)
--E 304
--S 305 of 602
--r0:=1/2*x^2/a-x*log(1+%e^(c+d*x)*b/a)/(a*d)-polylog(2,_
--   -%e^(c+d*x)*b/a)/(a*d^2)
--E 305
--S 306 of 602
--d0:=normalize(D(m0,x))
--E 306
)clear all
--S 307 of 602
t0:=x^2/(a+%e^(c+d*x)*b)
--E 307
--S 308 of 602
--r0:=1/3*x^3/a-x^2*log(1+%e^(c+d*x)*b/a)/(a*d)-2*x*polylog(2,_
--   -%e^(c+d*x)*b/a)/(a*d^2)+2*polylog(3,-%e^(c+d*x)*b/a)/(a*d^3)
--E 308
--S 309 of 602

--d0:=normalize(D(m0,x))
--E 309
)clear all
--S 310 of 602
t0:=x^3/(a+%e^(c+d*x)*b)
--E 310
--S 311 of 602
--r0:=1/4*x^4/a-x^3*log(1+%e^(c+d*x)*b/a)/(a*d)-3*x^2*polylog(2,_
--   -%e^(c+d*x)*b/a)/(a*d^2)+6*x*polylog(3,-%e^(c+d*x)*b/a)/(a*d^3)-_
--   6*polylog(4,-%e^(c+d*x)*b/a)/(a*d^4)
--E 311
--S 312 of 602
--d0:=normalize(D(m0,x))
--E 312
)clear all
--S 313 of 602
t0:=1/(a+%e^(c-d*x)*b)
--E 313
--S 314 of 602
r0:=x/a+log(a+%e^(c-d*x)*b)/(a*d)
--E 314
--S 315 of 602
d0:=normalize(D(m0,x))
--E 315
)clear all
--S 316 of 602
t0:=1/(a+%e^(-c-d*x)*b)
--E 316
--S 317 of 602
r0:=x/a+log(a+%e^(-c-d*x)*b)/(a*d)
--E 317
--S 318 of 602
d0:=normalize(D(m0,x))
--E 318
)clear all
--S 319 of 602

t0:=1/((a+%e^(c+d*x)*b)^2*x)
--E 319
--S 320 of 602
--r0:=Int(1/((a+%e^(c+d*x)*b)^2*x),x)
--E 320
--S 321 of 602
--d0:=normalize(D(m0,x))
--E 321
)clear all
--S 322 of 602
t0:=1/(a+%e^(c+d*x)*b)^2
--E 322
--S 323 of 602
r0:=1/(a*(a+%e^(c+d*x)*b)*d)+x/a^2-log(a+%e^(c+d*x)*b)/(a^2*d)
--E 323
--S 324 of 602
d0:=normalize(D(m0,x))
--E 324
)clear all
--S 325 of 602
t0:=x/(a+%e^(c+d*x)*b)^2
--E 325
--S 326 of 602
--r0:=-x/(a^2*d)+x/(a*(a+%e^(c+d*x)*b)*d)+1/2*x^2/a^2+log(a+%e^(c+d*x)*b)/_
--   (a^2*d^2)-x*log(1+%e^(c+d*x)*b/a)/(a^2*d)-polylog(2,-%e^(c+d*x)*_
--   b/a)/(a^2*d^2)
--E 326
--S 327 of 602
--d0:=normalize(D(m0,x))
--E 327
)clear all
--S 328 of 602
t0:=x^2/(a+%e^(c+d*x)*b)^2
--E 328
--S 329 of 602
--r0:=-x^2/(a^2*d)+x^2/(a*(a+%e^(c+d*x)*b)*d)+1/3*x^3/a^2+2*x*_
--   log(1+%e^(c+d*x)*b/a)/(a^2*d^2)-x^2*log(1+%e^(c+d*x)*b/a)/(a^2*d)+_

--   2*polylog(2,-%e^(c+d*x)*b/a)/(a^2*d^3)-2*x*polylog(2,-%e^(c+d*x)*_
--   b/a)/(a^2*d^2)+2*polylog(3,-%e^(c+d*x)*b/a)/(a^2*d^3)
--E 329
--S 330 of 602
--d0:=normalize(D(m0,x))
--E 330
)clear all
--S 331 of 602
t0:=x^3/(a+%e^(c+d*x)*b)^2
--E 331
--S 332 of 602
--r0:=-x^3/(a^2*d)+x^3/(a*(a+%e^(c+d*x)*b)*d)+1/4*x^4/a^2+3*x^2*_
--   log(1+%e^(c+d*x)*b/a)/(a^2*d^2)-x^3*log(1+%e^(c+d*x)*b/a)/(a^2*d)+_
--   6*x*polylog(2,-%e^(c+d*x)*b/a)/(a^2*d^3)-3*x^2*polylog(2,_
--   -%e^(c+d*x)*b/a)/(a^2*d^2)-6*polylog(3,-%e^(c+d*x)*b/a)/(a^2*d^4)+_
--   6*x*polylog(3,-%e^(c+d*x)*b/a)/(a^2*d^3)-6*polylog(4,-%e^(c+_
--   d*x)*b/a)/(a^2*d^4)
--E 332
--S 333 of 602
--d0:=normalize(D(m0,x))
--E 333
)clear all
--S 334 of 602
t0:=1/(a+%e^(c-d*x)*b)^2
--E 334
--S 335 of 602
r0:=(-1)/(a*(a+%e^(c-d*x)*b)*d)+x/a^2+log(a+%e^(c-d*x)*b)/(a^2*d)
--E 335
--S 336 of 602
d0:=normalize(D(m0,x))
--E 336
)clear all
--S 337 of 602
t0:=1/(a+%e^(-c-d*x)*b)^2
--E 337
--S 338 of 602
r0:=(-1)/(a*(a+%e^(-c-d*x)*b)*d)+x/a^2+log(a+%e^(-c-d*x)*b)/(a^2*d)
--E 338

)clear all
--S 340 of 602
t0:=1/((a+%e^(c+d*x)*b)^3*x)
--E 340
--S 341 of 602
--r0:=Int(1/((a+%e^(c+d*x)*b)^3*x),x)
--E 341
--S 342 of 602
--d0:=normalize(D(m0,x))
--E 342
)clear all
--S 343 of 602
t0:=1/(a+%e^(c+d*x)*b)^3
--E 343
--S 344 of 602
r0:=1/2/(a*(a+%e^(c+d*x)*b)^2*d)+1/(a^2*(a+%e^(c+d*x)*b)*d)+x/a^3-_
   log(a+%e^(c+d*x)*b)/(a^3*d)
--E 344
--S 345 of 602
d0:=normalize(D(m0,x))
--E 345
)clear all
--S 346 of 602
t0:=x/(a+%e^(c+d*x)*b)^3
--E 346
--S 347 of 602
--r0:=(-1/2)/(a^2*(a+%e^(c+d*x)*b)*d^2)-3/2*x/(a^3*d)+1/2*x/(a*(a+_
--   %e^(c+d*x)*b)^2*d)+x/(a^2*(a+%e^(c+d*x)*b)*d)+1/2*x^2/a^3+3/2*_
--   log(a+%e^(c+d*x)*b)/(a^3*d^2)-x*log(1+%e^(c+d*x)*b/a)/(a^3*d)-_
--   polylog(2,-%e^(c+d*x)*b/a)/(a^3*d^2)
--E 347
--S 348 of 602
--d0:=normalize(D(m0,x))
--E 348

--S 349 of 602
t0:=x^2/(a+%e^(c+d*x)*b)^3
--E 349
--S 350 of 602
--r0:=x/(a^3*d^2)-x/(a^2*(a+%e^(c+d*x)*b)*d^2)-3/2*x^2/(a^3*d)+1/2*x^2/_
--   (a*(a+%e^(c+d*x)*b)^2*d)+x^2/(a^2*(a+%e^(c+d*x)*b)*d)+1/3*x^3/a^3-_
--   log(a+%e^(c+d*x)*b)/(a^3*d^3)+3*x*log(1+%e^(c+d*x)*b/a)/(a^3*d^2)-_
--   x^2*log(1+%e^(c+d*x)*b/a)/(a^3*d)+3*polylog(2,-%e^(c+d*x)*b/a)/_
--   (a^3*d^3)-2*x*polylog(2,-%e^(c+d*x)*b/a)/(a^3*d^2)+2*polylog(3,_
--   -%e^(c+d*x)*b/a)/(a^3*d^3)
--E 350
--S 351 of 602
--d0:=normalize(D(m0,x))
--E 351
)clear all
--S 352 of 602
--t0:=1 + (b*E^(c + d*x))/a])/(a^3*d^3) + (9*x^2*Log[1 + _
--   (b*E^(c + d*x))/a])/(2*a^3*d^2) - (x^3*Log[1 + (b*E^(c + d*x))/a])/_
--   (a^3*d) - (3*PolyLog[2
--E 352
--S 353 of 602
--r0:= -((b*E^(c + d*x))/a)
--E 353
--S 354 of 602
--d0:=normalize(D(m0,x))
--E 354
)clear all
--S 355 of 602
t0:=1/(a+%e^(c-d*x)*b)^3
--E 355
--S 356 of 602
r0:=(-1/2)/(a*(a+%e^(c-d*x)*b)^2*d)+(-1)/(a^2*(a+%e^(c-d*x)*b)*d)+x/a^3+_
   log(a+%e^(c-d*x)*b)/(a^3*d)
--E 356
--S 357 of 602
d0:=normalize(D(m0,x))
--E 357

--S 358 of 602
t0:=1/(a+%e^(-c-d*x)*b)^3
--E 358
--S 359 of 602
r0:=(-1/2)/(a*(a+%e^(-c-d*x)*b)^2*d)+(-1)/(a^2*(a+%e^(-c-d*x)*b)*d)+_
   x/a^3+log(a+%e^(-c-d*x)*b)/(a^3*d)
--E 359
--S 360 of 602
d0:=normalize(D(m0,x))
--E 360
)clear all
--S 361 of 602
t0:=%e^(a+b*x)/(x^2*(c+d*x^2))
--E 361
--S 362 of 602
--r0:=-%e^(a+b*x)/(c*x)+%e^a*b*Ei(b*x)/c+1/2*%e^(a+b*sqrt(-c)/sqrt(d))*_
--   Ei(-b*(sqrt(-c)-x*sqrt(d))/sqrt(d))*sqrt(d)/(-c)^(3/2)-_
--   1/2*%e^(a-b*sqrt(-c)/sqrt(d))*Ei(b*(sqrt(-c)+x*sqrt(d))/sqrt(d))*_
--   sqrt(d)/(-c)^(3/2)
--E 362
--S 363 of 602
--d0:=normalize(D(m0,x))
--E 363
)clear all
--S 364 of 602
t0:=%e^(a+b*x)/(x*(c+d*x^2))
--E 364
--S 365 of 602
--r0:=%e^a*Ei(b*x)/c-1/2*%e^(a+b*sqrt(-c)/sqrt(d))*Ei(-b*(sqrt(-c)-_
--   x*sqrt(d))/sqrt(d))/c-1/2*%e^(a-b*sqrt(-c)/sqrt(d))*Ei(b*_
--   (sqrt(-c)+x*sqrt(d))/sqrt(d))/c
--E 365
--S 366 of 602
--d0:=normalize(D(m0,x))
--E 366
)clear all

--S 367 of 602
t0:=%e^(a+b*x)/(c+d*x^2)
--E 367
--S 368 of 602
--r0:=1/2*%e^(a+b*sqrt(-c)/sqrt(d))*Ei(-b*(sqrt(-c)-x*sqrt(d))/sqrt(d))/_
--   (sqrt(-c)*sqrt(d))-1/2*%e^(a-b*sqrt(-c)/sqrt(d))*Ei(b*(sqrt(-c)+_
--   x*sqrt(d))/sqrt(d))/(sqrt(-c)*sqrt(d))
--E 368
--S 369 of 602
--d0:=normalize(D(m0,x))
--E 369
)clear all
--S 370 of 602
t0:=%e^(a+b*x)*x/(c+d*x^2)
--E 370
--S 371 of 602
--r0:=1/2*%e^(a+b*sqrt(-c)/sqrt(d))*Ei(-b*(sqrt(-c)-x*sqrt(d))/sqrt(d))/d+_
--   1/2*%e^(a-b*sqrt(-c)/sqrt(d))*Ei(b*(sqrt(-c)+x*sqrt(d))/sqrt(d))/d
--E 371
--S 372 of 602
--d0:=normalize(D(m0,x))
--E 372
)clear all
--S 373 of 602
t0:=%e^(a+b*x)*x^2/(c+d*x^2)
--E 373
--S 374 of 602
--r0:=%e^(a+b*x)/(b*d)+1/2*%e^(a+b*sqrt(-c)/sqrt(d))*Ei(-b*(sqrt(-c)-_
--   x*sqrt(d))/sqrt(d))*sqrt(-c)/d^(3/2)-1/2*%e^(a-b*sqrt(-c)/sqrt(d))*_
--   Ei(b*(sqrt(-c)+x*sqrt(d))/sqrt(d))*sqrt(-c)/d^(3/2)
--E 374
--S 375 of 602
--d0:=normalize(D(m0,x))
--E 375
)clear all
--S 376 of 602
t0:=%e^(d+e*x)/(x^2*(a+b*x+c*x^2))

--E 376
--S 377 of 602
--r0:=-%e^(d+e*x)/(a*x)-%e^d*b*Ei(e*x)/a^2+%e^d*e*Ei(e*x)/a+1/2*_
--   %e^(d-1/2*e*(b+sqrt(b^2-4*a*c))/c)*Ei(1/2*e*(b+2*c*x+sqrt(b^2-_
--   4*a*c))/c)*(b+(-b^2+2*a*c)/sqrt(b^2-4*a*c))/a^2+1/2*%e^(d-1/2*_
--   e*(b-sqrt(b^2-4*a*c))/c)*Ei(1/2*e*(b+2*c*x-sqrt(b^2-4*a*c))/c)*_
--   (b+(b^2-2*a*c)/sqrt(b^2-4*a*c))/a^2
--E 377
--S 378 of 602
--d0:=normalize(D(m0,x))
--E 378
)clear all
--S 379 of 602
t0:=%e^(d+e*x)/(x*(a+b*x+c*x^2))
--E 379
--S 380 of 602
--r0:=%e^d*Ei(e*x)/a-1/2*%e^(d-1/2*e*(b+sqrt(b^2-4*a*c))/c)*Ei(1/2*e*_
--   (b+2*c*x+sqrt(b^2-4*a*c))/c)*(1-b/sqrt(b^2-4*a*c))/a-1/2*%e^(d-_
--   1/2*e*(b-sqrt(b^2-4*a*c))/c)*Ei(1/2*e*(b+2*c*x-sqrt(b^2-4*a*c))/c)*_
--   (1+b/sqrt(b^2-4*a*c))/a
--E 380
--S 381 of 602
--d0:=normalize(D(m0,x))
--E 381
)clear all
--S 382 of 602
t0:=%e^(d+e*x)/(a+b*x+c*x^2)
--E 382
--S 383 of 602
--r0:=%e^(d-1/2*e*(b-sqrt(b^2-4*a*c))/c)*Ei(1/2*e*(b+2*c*x-sqrt(b^2-_
--   4*a*c))/c)/sqrt(b^2-4*a*c)-%e^(d-1/2*e*(b+sqrt(b^2-4*a*c))/c)*_
--   Ei(1/2*e*(b+2*c*x+sqrt(b^2-4*a*c))/c)/sqrt(b^2-4*a*c)
--E 383
--S 384 of 602
--d0:=normalize(D(m0,x))
--E 384
)clear all
--S 385 of 602

t0:=%e^(d+e*x)*x/(a+b*x+c*x^2)
--E 385
--S 386 of 602
--r0:=1/2*%e^(d-1/2*e*(b-sqrt(b^2-4*a*c))/c)*Ei(1/2*e*(b+2*c*x-_
--   sqrt(b^2-4*a*c))/c)*(1-b/sqrt(b^2-4*a*c))/c+1/2*%e^(d-1/2*e*(b+_
--   sqrt(b^2-4*a*c))/c)*Ei(1/2*e*(b+2*c*x+sqrt(b^2-4*a*c))/c)*(1+_
--   b/sqrt(b^2-4*a*c))/c
--E 386
--S 387 of 602
--d0:=normalize(D(m0,x))
--E 387
)clear all
--S 388 of 602
t0:=%e^(d+e*x)*x^2/(a+b*x+c*x^2)
--E 388
--S 389 of 602
--r0:=%e^(d+e*x)/(c*e)-1/2*%e^(d-1/2*e*(b-sqrt(b^2-4*a*c))/c)*Ei(1/2*e*_
--   (b+2*c*x-sqrt(b^2-4*a*c))/c)*(b+(-b^2+2*a*c)/sqrt(b^2-4*a*c))/c^2-_
--   1/2*%e^(d-1/2*e*(b+sqrt(b^2-4*a*c))/c)*Ei(1/2*e*(b+2*c*x+sqrt(b^2-_
--   4*a*c))/c)*(b+(b^2-2*a*c)/sqrt(b^2-4*a*c))/c^2
--E 389
--S 390 of 602
--d0:=normalize(D(m0,x))
--E 390
)clear all
--S 391 of 602
t0:=%e^(d+e*x)*x^3/(a+b*x+c*x^2)
--E 391
--S 392 of 602
--r0:=-%e^(d+e*x)/(c*e^2)-%e^(d+e*x)*b/(c^2*e)+%e^(d+e*x)*x/(c*e)+_
--   1/2*%e^(d-1/2*e*(b-sqrt(b^2-4*a*c))/c)*Ei(1/2*e*(b+2*c*x-sqrt(b^2-_
--   4*a*c))/c)*(b^2-a*c-b*(b^2-3*a*c)/sqrt(b^2-4*a*c))/c^3+1/2*%e^(d-_
--   1/2*e*(b+sqrt(b^2-4*a*c))/c)*Ei(1/2*e*(b+2*c*x+sqrt(b^2-4*a*c))/c)*_
--   (b^2-a*c+b*(b^2-3*a*c)/sqrt(b^2-4*a*c))/c^3
--E 392
--S 393 of 602
--d0:=normalize(D(m0,x))
--E 393
)clear all

--S 394 of 602
t0:=4^x/(a+2^x*b)
--E 394
--S 395 of 602
r0:=2^x/(b*log(2))-a*log(a+2^x*b)/(b^2*log(2))
--E 395
--S 396 of 602
d0:=normalize(D(m0,x))
--E 396
)clear all
--S 397 of 602
t0:=2^(2*x)/(a+2^x*b)
--E 397
--S 398 of 602
r0:=2^x/(b*log(2))-a*log(a+2^x*b)/(b^2*log(2))
--E 398
--S 399 of 602
d0:=normalize(D(m0,x))
--E 399
)clear all
--S 400 of 602
t0:=4^x/(a-2^x*b)
--E 400
--S 401 of 602
r0:=-2^x/(b*log(2))-a*log(a-2^x*b)/(b^2*log(2))
--E 401
--S 402 of 602
d0:=normalize(D(m0,x))
--E 402
)clear all
--S 403 of 602
t0:=2^(2*x)/(a-2^x*b)
--E 403
--S 404 of 602
r0:=-2^x/(b*log(2))-a*log(a-2^x*b)/(b^2*log(2))
--E 404

)clear all
--S 406 of 602
t0:=4^x/(a+b/2^x)
--E 406
--S 407 of 602
r0:=2^(-1+2*x)/(a*log(2))-2^x*b/(a^2*log(2))+b^2*log(2^x*a+b)/(a^3*log(2))
--E 407
--S 408 of 602
d0:=normalize(D(m0,x))
--E 408
)clear all
--S 409 of 602
t0:=2^(2*x)/(a+b/2^x)
--E 409
--S 410 of 602
r0:=2^(-1+2*x)/(a*log(2))-2^x*b/(a^2*log(2))+b^2*log(2^x*a+b)/(a^3*log(2))
--E 410
--S 411 of 602
d0:=normalize(D(m0,x))
--E 411
)clear all
--S 412 of 602
t0:=4^x/(a-b/2^x)
--E 412
--S 413 of 602
r0:=2^(-1+2*x)/(a*log(2))+2^x*b/(a^2*log(2))+b^2*log(2^x*a-b)/(a^3*log(2))
--E 413
--S 414 of 602
d0:=normalize(D(m0,x))
--E 414
)clear all
--S 415 of 602

t0:=2^(2*x)/(a-b/2^x)
--E 415
--S 416 of 602
r0:=2^(-1+2*x)/(a*log(2))+2^x*b/(a^2*log(2))+b^2*log(2^x*a-b)/(a^3*log(2))
--E 416
--S 417 of 602
d0:=normalize(D(m0,x))
--E 417
)clear all
--S 418 of 602
t0:=2^x/(a+4^x*b)
--E 418
--S 419 of 602
r0:=atan(2^x*sqrt(b)/sqrt(a))/(log(2)*sqrt(a)*sqrt(b))
--E 419
--S 420 of 602
d0:=normalize(D(m0,x))
--E 420
)clear all
--S 421 of 602
t0:=2^x/(a+2^(2*x)*b)
--E 421
--S 422 of 602
r0:=atan(2^x*sqrt(b)/sqrt(a))/(log(2)*sqrt(a)*sqrt(b))
--E 422
--S 423 of 602
d0:=normalize(D(m0,x))
--E 423
)clear all
--S 424 of 602
t0:=2^x/(a-4^x*b)
--E 424
--S 425 of 602
r0:=atanh(2^x*sqrt(b)/sqrt(a))/(log(2)*sqrt(a)*sqrt(b))
--E 425
--S 426 of 602

d0:=normalize(D(m0,x))
--E 426
)clear all
--S 427 of 602
t0:=2^x/(a-2^(2*x)*b)
--E 427
--S 428 of 602
r0:=atanh(2^x*sqrt(b)/sqrt(a))/(log(2)*sqrt(a)*sqrt(b))
--E 428
--S 429 of 602
d0:=normalize(D(m0,x))
--E 429
)clear all
--S 430 of 602
t0:=2^x/(a+b/4^x)
--E 430
--S 431 of 602
r0:=2^x/(a*log(2))-atan(2^x*sqrt(a)/sqrt(b))*sqrt(b)/(a^(3/2)*log(2))
--E 431
--S 432 of 602
d0:=normalize(D(m0,x))
--E 432
)clear all
--S 433 of 602
t0:=2^x/(a+b/2^(2*x))
--E 433
--S 434 of 602
r0:=2^x/(a*log(2))-atan(2^x*sqrt(a)/sqrt(b))*sqrt(b)/(a^(3/2)*log(2))
--E 434
--S 435 of 602
d0:=normalize(D(m0,x))
--E 435
)clear all
--S 436 of 602
t0:=2^x/(a-b/4^x)
--E 436

--S 437 of 602
r0:=2^x/(a*log(2))-atanh(2^x*sqrt(a)/sqrt(b))*sqrt(b)/(a^(3/2)*log(2))
--E 437
--S 438 of 602
d0:=normalize(D(m0,x))
--E 438
)clear all
--S 439 of 602
t0:=2^x/(a-b/2^(2*x))
--E 439
--S 440 of 602
r0:=2^x/(a*log(2))-atanh(2^x*sqrt(a)/sqrt(b))*sqrt(b)/(a^(3/2)*log(2))
--E 440
--S 441 of 602
d0:=normalize(D(m0,x))
--E 441
)clear all
--S 442 of 602
t0:=2^x/sqrt(a+4^x*b)
--E 442
--S 443 of 602
r0:=atanh(2^x*sqrt(b)/sqrt(a+2^(2*x)*b))/(log(2)*sqrt(b))
--E 443
-- integrate: implementation incomplete (constant residues)
--S 444 of 602
--d0:=normalize(D(m0,x))
--E 444
)clear all
--S 445 of 602
t0:=2^x/sqrt(a+2^(2*x)*b)
--E 445
--S 446 of 602
r0:=atanh(2^x*sqrt(b)/sqrt(a+2^(2*x)*b))/(log(2)*sqrt(b))
--E 446
--S 447 of 602
d0:=normalize(D(m0,x))

--E 447
)clear all
--S 448 of 602
t0:=2^x/sqrt(a-4^x*b)
--E 448
--S 449 of 602
r0:=atan(2^x*sqrt(b)/sqrt(a-2^(2*x)*b))/(log(2)*sqrt(b))
--E 449
-- integrate: implementation incomplete (constant residues)
--S 450 of 602
--d0:=normalize(D(m0,x))
--E 450
)clear all
--S 451 of 602
t0:=2^x/sqrt(a-2^(2*x)*b)
--E 451
--S 452 of 602
r0:=atan(2^x*sqrt(b)/sqrt(a-2^(2*x)*b))/(log(2)*sqrt(b))
--E 452
--S 453 of 602
d0:=normalize(D(m0,x))
--E 453
)clear all
--S 454 of 602
t0:=2^x/sqrt(a+b/4^x)
--E 454
--S 455 of 602
r0:=2^x*sqrt(a+b/2^(2*x))/(a*log(2))
--E 455
-- integrate: implementation incomplete (constant residues)
--S 456 of 602
--d0:=normalize(D(m0,x))
--E 456
)clear all
--S 457 of 602
t0:=2^x/sqrt(a+b/2^(2*x))

--E 457
--S 458 of 602
r0:=2^x*sqrt(a+b/2^(2*x))/(a*log(2))
--E 458
--S 459 of 602
d0:=normalize(D(m0,x))
--E 459
)clear all
--S 460 of 602
t0:=2^x/sqrt(a-b/4^x)
--E 460
--S 461 of 602
r0:=2^x*sqrt(a-b/2^(2*x))/(a*log(2))
--E 461
-- integrate: implementation incomplete (constant residues)
--S 462 of 602
--d0:=normalize(D(m0,x))
--E 462
)clear all
--S 463 of 602
t0:=2^x/sqrt(a-b/2^(2*x))
--E 463
--S 464 of 602
r0:=2^x*sqrt(a-b/2^(2*x))/(a*log(2))
--E 464
--S 465 of 602
d0:=normalize(D(m0,x))
--E 465
)clear all
--S 466 of 602
t0:=4^x/sqrt(a+2^x*b)
--E 466
--S 467 of 602
r0:=2/3*(a+2^x*b)^(3/2)/(b^2*log(2))-2*a*sqrt(a+2^x*b)/(b^2*log(2))
--E 467
-- integrate: implementation incomplete (constant residues)

)clear all
--S 469 of 602
t0:=2^(2*x)/sqrt(a+2^x*b)
--E 469
--S 470 of 602
r0:=2/3*(a+2^x*b)^(3/2)/(b^2*log(2))-2*a*sqrt(a+2^x*b)/(b^2*log(2))
--E 470
--S 471 of 602
d0:=normalize(D(m0,x))
--E 471
)clear all
--S 472 of 602
t0:=4^x/sqrt(a-2^x*b)
--E 472
--S 473 of 602
r0:=2/3*(a-2^x*b)^(3/2)/(b^2*log(2))-2*a*sqrt(a-2^x*b)/(b^2*log(2))
--E 473
-- integrate: implementation incomplete (constant residues)
--S 474 of 602
--d0:=normalize(D(m0,x))
--E 474
)clear all
--S 475 of 602
t0:=2^(2*x)/sqrt(a-2^x*b)
--E 475
--S 476 of 602
r0:=2/3*(a-2^x*b)^(3/2)/(b^2*log(2))-2*a*sqrt(a-2^x*b)/(b^2*log(2))
--E 476
--S 477 of 602
d0:=normalize(D(m0,x))
--E 477
)clear all
--S 478 of 602

t0:=4^x/sqrt(a+b/2^x)
--E 478
--S 479 of 602
r0:=3/4*b^2*atanh(sqrt(a+b/2^x)/sqrt(a))/(a^(5/2)*log(2))+2^(-1+2*x)*_
   sqrt(a+b/2^x)/(a*log(2))-3*2^(-2+x)*b*sqrt(a+b/2^x)/(a^2*log(2))
--E 479
-- integrate: implementation incomplete (constant residues)
--S 480 of 602
--d0:=normalize(D(m0,x))
--E 480
)clear all
--S 481 of 602
t0:=2^(2*x)/sqrt(a+b/2^x)
--E 481
--S 482 of 602
r0:=3/4*b^2*atanh(sqrt(a+b/2^x)/sqrt(a))/(a^(5/2)*log(2))+2^(-1+2*x)*_
   sqrt(a+b/2^x)/(a*log(2))-3*2^(-2+x)*b*sqrt(a+b/2^x)/(a^2*log(2))
--E 482
--S 483 of 602
d0:=normalize(D(m0,x))
--E 483
)clear all
--S 484 of 602
t0:=4^x/sqrt(a-b/2^x)
--E 484
--S 485 of 602
r0:=3/4*b^2*atanh(sqrt(a-b/2^x)/sqrt(a))/(a^(5/2)*log(2))+2^(-1+2*x)*_
   sqrt(a-b/2^x)/(a*log(2))+3*2^(-2+x)*b*sqrt(a-b/2^x)/(a^2*log(2))
--E 485
-- integrate: implementation incomplete (constant residues)
--S 486 of 602
--d0:=normalize(D(m0,x))
--E 486
)clear all
--S 487 of 602
t0:=2^(2*x)/sqrt(a-b/2^x)
--E 487

--S 488 of 602
r0:=3/4*b^2*atanh(sqrt(a-b/2^x)/sqrt(a))/(a^(5/2)*log(2))+2^(-1+2*x)*_
   sqrt(a-b/2^x)/(a*log(2))+3*2^(-2+x)*b*sqrt(a-b/2^x)/(a^2*log(2))
--E 488
--S 489 of 602
d0:=normalize(D(m0,x))
--E 489
)clear all
--S 490 of 602
t0:=f^(c+d*x)*x^3/(a+b*f^(c+d*x))
--E 490
--S 491 of 602
--r0:=x^3*log(1+b*f^(c+d*x)/a)/(b*d*log(f))+3*x^2*polylog(2,-b*f^(c+_
--   d*x)/a)/(b*d^2*log(f)^2)-6*x*polylog(3,-b*f^(c+d*x)/a)/(b*d^3*_
--   log(f)^3)+6*polylog(4,-b*f^(c+d*x)/a)/(b*d^4*log(f)^4)
--E 491
--S 492 of 602
--d0:=normalize(D(m0,x))
--E 492
)clear all
--S 493 of 602
t0:=f^(c+d*x)*x^2/(a+b*f^(c+d*x))
--E 493
--S 494 of 602
--r0:=x^2*log(1+b*f^(c+d*x)/a)/(b*d*log(f))+2*x*polylog(2,-b*f^(c+_
--   d*x)/a)/(b*d^2*log(f)^2)-2*polylog(3,-b*f^(c+d*x)/a)/(b*d^3*log(f)^3)
--E 494
--S 495 of 602
--d0:=normalize(D(m0,x))
--E 495
)clear all
--S 496 of 602
t0:=f^(c+d*x)*x/(a+b*f^(c+d*x))
--E 496
--S 497 of 602
--r0:=x*log(1+b*f^(c+d*x)/a)/(b*d*log(f))+polylog(2,-b*f^(c+d*x)/a)/_
--   (b*d^2*log(f)^2)
--E 497

)clear all
--S 499 of 602
t0:=f^(c+d*x)/(a+b*f^(c+d*x))
--E 499
--S 500 of 602
r0:=log(a+b*f^(c+d*x))/(b*d*log(f))
--E 500
--S 501 of 602
d0:=normalize(D(m0,x))
--E 501
)clear all
--S 502 of 602
t0:=f^(c+d*x)/((a+b*f^(c+d*x))*x)
--E 502
--S 503 of 602
--r0:=Int(f^(c+d*x)/((a+b*f^(c+d*x))*x),x)
--E 503
--S 504 of 602
--d0:=normalize(D(m0,x))
--E 504
)clear all
--S 505 of 602
t0:=f^(c+d*x)/((a+b*f^(c+d*x))*x^2)
--E 505
--S 506 of 602
--r0:=Int(f^(c+d*x)/((a+b*f^(c+d*x))*x^2),x)
--E 506
--S 507 of 602
--d0:=normalize(D(m0,x))
--E 507
)clear all
--S 508 of 602

t0:=f^(c+d*x)*x^3/(a+b*f^(c+d*x))^2
--E 508
--S 509 of 602
--r0:=x^3/(a*b*d*log(f))-x^3/(b*d*(a+b*f^(c+d*x))*log(f))-3*x^2*log(1+b*_
--   f^(c+d*x)/a)/(a*b*d^2*log(f)^2)-6*x*polylog(2,-b*f^(c+d*x)/a)/_
--   (a*b*d^3*log(f)^3)+6*polylog(3,-b*f^(c+d*x)/a)/(a*b*d^4*log(f)^4)
--E 509
--S 510 of 602
--d0:=normalize(D(m0,x))
--E 510
)clear all
--S 511 of 602
t0:=f^(c+d*x)*x^2/(a+b*f^(c+d*x))^2
--E 511
--S 512 of 602
--r0:=x^2/(a*b*d*log(f))-x^2/(b*d*(a+b*f^(c+d*x))*log(f))-2*x*log(1+_
--   b*f^(c+d*x)/a)/(a*b*d^2*log(f)^2)-2*polylog(2,-b*f^(c+d*x)/a)/_
--   (a*b*d^3*log(f)^3)
--E 512
--S 513 of 602
--d0:=normalize(D(m0,x))
--E 513
)clear all
--S 514 of 602
t0:=f^(c+d*x)*x/(a+b*f^(c+d*x))^2
--E 514
--S 515 of 602
r0:=x/(a*b*d*log(f))-x/(b*d*(a+b*f^(c+d*x))*log(f))-log(a+b*f^(c+d*x))/_
   (a*b*d^2*log(f)^2)
--E 515
--S 516 of 602
d0:=normalize(D(m0,x))
--E 516
)clear all
--S 517 of 602
t0:=f^(c+d*x)/(a+b*f^(c+d*x))^2
--E 517

--S 518 of 602
r0:=(-1)/(b*d*(a+b*f^(c+d*x))*log(f))
--E 518
--S 519 of 602
d0:=normalize(D(m0,x))
--E 519
)clear all
--S 520 of 602
t0:=f^(c+d*x)/((a+b*f^(c+d*x))^2*x)
--E 520
--S 521 of 602
--r0:=(-1)/(b*d*(a+b*f^(c+d*x))*x*log(f))-Int(1/((a+b*f^(c+d*x))*x^2),x)/_
--   (b*d*log(f))
--E 521
--S 522 of 602
--d0:=normalize(D(m0,x))
--E 522
)clear all
--S 523 of 602
t0:=f^(c+d*x)/((a+b*f^(c+d*x))^2*x^2)
--E 523
--S 524 of 602
--r0:=(-1)/(b*d*(a+b*f^(c+d*x))*x^2*log(f))-2*Int(1/((a+b*f^(c+d*x))*_
--   x^3),x)/(b*d*log(f))
--E 524
--S 525 of 602
--d0:=normalize(D(m0,x))
--E 525
)clear all
--S 526 of 602
t0:=f^(c+d*x)*x^3/(a+b*f^(c+d*x))^3
--E 526
--S 527 of 602
--r0:=-3/2*x^2/(a^2*b*d^2*log(f)^2)+3/2*x^2/(a*b*d^2*(a+b*f^(c+d*x))*_
--   log(f)^2)+1/2*x^3/(a^2*b*d*log(f))-1/2*x^3/(b*d*(a+b*f^(c+d*x))^2*_
--   log(f))+3*x*log(1+b*f^(c+d*x)/a)/(a^2*b*d^3*log(f)^3)-3/2*x^2*_
--   log(1+b*f^(c+d*x)/a)/(a^2*b*d^2*log(f)^2)+3*polylog(2,-b*f^(c+_
--   d*x)/a)/(a^2*b*d^4*log(f)^4)-3*x*polylog(2,-b*f^(c+d*x)/a)/(a^2*b*_

--   d^3*log(f)^3)+3*polylog(3,-b*f^(c+d*x)/a)/(a^2*b*d^4*log(f)^4)
--E 527
--S 528 of 602
--d0:=normalize(D(m0,x))
--E 528
)clear all
--S 529 of 602
t0:=f^(c+d*x)*x^2/(a+b*f^(c+d*x))^3
--E 529
--S 530 of 602
--r0:=-x/(a^2*b*d^2*log(f)^2)+x/(a*b*d^2*(a+b*f^(c+d*x))*log(f)^2)+1/2*x^2/_
--   (a^2*b*d*log(f))-1/2*x^2/(b*d*(a+b*f^(c+d*x))^2*log(f))+log(a+b*_
--   f^(c+d*x))/(a^2*b*d^3*log(f)^3)-x*log(1+b*f^(c+d*x)/a)/(a^2*b*d^2*_
--   log(f)^2)-polylog(2,-b*f^(c+d*x)/a)/(a^2*b*d^3*log(f)^3)
--E 530
--S 531 of 602
--d0:=normalize(D(m0,x))
--E 531
)clear all
--S 532 of 602
t0:=f^(c+d*x)*x/(a+b*f^(c+d*x))^3
--E 532
--S 533 of 602
r0:=1/2/(a*b*d^2*(a+b*f^(c+d*x))*log(f)^2)+1/2*x/(a^2*b*d*log(f))-1/2*x/_
   (b*d*(a+b*f^(c+d*x))^2*log(f))-1/2*log(a+b*f^(c+d*x))/(a^2*b*d^2*log(f)^2)
--E 533
--S 534 of 602
d0:=normalize(D(m0,x))
--E 534
)clear all
--S 535 of 602
t0:=f^(c+d*x)/(a+b*f^(c+d*x))^3
--E 535
--S 536 of 602
r0:=(-1/2)/(b*d*(a+b*f^(c+d*x))^2*log(f))
--E 536
--S 537 of 602

)clear all
--S 538 of 602
t0:=f^(c+d*x)/((a+b*f^(c+d*x))^3*x)
--E 538
--S 539 of 602
--r0:=(-1/2)/(b*d*(a+b*f^(c+d*x))^2*x*log(f))-1/2*Int(1/((a+b*f^(c+d*x))^2*_
--   x^2),x)/(b*d*log(f))
--E 539
--S 540 of 602
--d0:=normalize(D(m0,x))
--E 540
)clear all
--S 541 of 602
t0:=f^(c+d*x)/((a+b*f^(c+d*x))^3*x^2)
--E 541
--S 542 of 602
--r0:=(-1/2)/(b*d*(a+b*f^(c+d*x))^2*x^2*log(f))-Int(1/((a+b*f^(c+d*x))^2*_
--   x^3),x)/(b*d*log(f))
--E 542
--S 543 of 602
--d0:=normalize(D(m0,x))
--E 543
)clear all
--S 544 of 602
t0:=%e^x/(4+6*%e^x)
--E 544
--S 545 of 602
r0:=1/6*log(2+3*%e^x)
--E 545
--S 546 of 602
d0:=normalize(D(m0,x))
--E 546
)clear all
--S 547 of 602

t0:=%e^x/(a+%e^x*b)
--E 547
--S 548 of 602
r0:=log(a+%e^x*b)/b
--E 548
--S 549 of 602
d0:=normalize(D(m0,x))
--E 549
)clear all
--S 550 of 602
t0:=%e^(d*x)/(a+%e^(c+d*x)*b)
--E 550
--S 551 of 602
r0:=log(a+%e^(c+d*x)*b)/(%e^c*b*d)
--E 551
--S 552 of 602
d0:=normalize(D(m0,x))
--E 552
)clear all
--S 553 of 602
t0:=%e^(c+d*x)/(a+%e^(c+d*x)*b)
--E 553
--S 554 of 602
r0:=log(a+%e^(c+d*x)*b)/(b*d)
--E 554
--S 555 of 602
d0:=normalize(D(m0,x))
--E 555
)clear all
--S 556 of 602
t0:=%e^x*(a+%e^x*b)^n
--E 556
--S 557 of 602
r0:=(a+%e^x*b)^(1+n)/(b*(1+n))
--E 557
--S 558 of 602

)clear all
--S 559 of 602
t0:=%e^(d*x)*(a+%e^(c+d*x)*b)^n
--E 559
--S 560 of 602
r0:=(a+%e^(c+d*x)*b)^(1+n)/(%e^c*b*d*(1+n))
--E 560
--S 561 of 602
d0:=normalize(D(m0,x))
--E 561
)clear all
--S 562 of 602
t0:=%e^(c+d*x)*(a+%e^(c+d*x)*b)^n
--E 562
--S 563 of 602
r0:=(a+%e^(c+d*x)*b)^(1+n)/(b*d*(1+n))
--E 563
--S 564 of 602
d0:=normalize(D(m0,x))
--E 564
)clear all
--S 565 of 602
t0:=f^x/(a+b*f^x)
--E 565
--S 566 of 602
r0:=log(a+b*f^x)/(b*log(f))
--E 566
--S 567 of 602
d0:=normalize(D(m0,x))
--E 567
)clear all
--S 568 of 602
t0:=f^(d*x)/(a+b*f^(c+d*x))
--E 568

--S 569 of 602
r0:=log(a+b*f^(c+d*x))/(b*d*f^c*log(f))
--E 569
--S 570 of 602
d0:=normalize(D(m0,x))
--E 570
)clear all
--S 571 of 602
t0:=f^(c+d*x)/(a+b*f^(c+d*x))
--E 571
--S 572 of 602
r0:=log(a+b*f^(c+d*x))/(b*d*log(f))
--E 572
--S 573 of 602
d0:=normalize(D(m0,x))
--E 573
)clear all
--S 574 of 602
t0:=f^x*(a+b*f^x)^n
--E 574
--S 575 of 602
r0:=(a+b*f^x)^(1+n)/(b*(1+n)*log(f))
--E 575
--S 576 of 602
d0:=normalize(D(m0,x))
--E 576
)clear all
--S 577 of 602
t0:=f^(d*x)*(a+b*f^(c+d*x))^n
--E 577
--S 578 of 602
r0:=(a+b*f^(c+d*x))^(1+n)/(b*d*f^c*(1+n)*log(f))
--E 578
--S 579 of 602
d0:=normalize(D(m0,x))
--E 579

--S 580 of 602
t0:=f^(c+d*x)*(a+b*f^(c+d*x))^n
--E 580
--S 581 of 602
r0:=(a+b*f^(c+d*x))^(1+n)/(b*d*(1+n)*log(f))
--E 581
--S 582 of 602
d0:=normalize(D(m0,x))
--E 582
)clear all
--S 583 of 602
t0:=1/(1+2*%e^x+%e^(2*x))
--E 583
--S 584 of 602
r0:=1/(1+%e^x)+x-log(1+%e^x)
--E 584
--S 585 of 602
d0:=normalize(D(m0,x))
--E 585
)clear all
--S 586 of 602
t0:=1/(2+3*%e^x+%e^(2*x))
--E 586
--S 587 of 602
r0:=1/2*x-log(1+%e^x)+1/2*log(2+%e^x)
--E 587
--S 588 of 602
d0:=normalize(D(m0,x))
--E 588
)clear all
--S 589 of 602
t0:=1/(-1+%e^x+%e^(2*x))
--E 589
--S 590 of 602

r0:=-x+1/10*log(1+2*%e^x+sqrt(5))*(5-sqrt(5))+1/10*log(1+2*%e^x-sqrt(5))*_
   (5+sqrt(5))
--E 590
--S 591 of 602
d0:=normalize(D(m0,x))
--E 591
)clear all
--S 592 of 602
t0:=1/(3+3*%e^x+%e^(2*x))
--E 592
--S 593 of 602
--r0:=1/3*x-1/6*log(3+3*%e^x+%e^(2*x))-atan((3+2*%e^x)/sqrt(3))/sqrt(3)
--E 593
--S 594 of 602
--d0:=normalize(D(m0,x))
--E 594
)clear all
--S 595 of 602
t0:=1/(a+%e^x*b+%e^(2*x)*c)
--E 595
--S 596 of 602
r0:=x/a-1/2*log(a+%e^x*b+%e^(2*x)*c)/a+b*atanh((b+2*%e^x*c)/sqrt(b^2-_
   4*a*c))/(a*sqrt(b^2-4*a*c))
--E 596
--S 597 of 602
d0a:=normalize(D(m0a,x))
--E 597
--S 598 of 602
m0b:=a0.2-r0
--E 598
--S 599 of 602
d0b:=normalize(D(m0b,x))
--E 599
)clear all
--S 600 of 602
t0:=x/(1+2*%e^x+%e^(2*x))
--E 600

--S 601 of 602
--r0:=-x+x/(1+%e^x)+1/2*x^2+log(1+%e^x)-x*log(1+%e^x)-polylog(2,-%e^x)
--E 601
--S 602 of 602
--d0:=normalize(D(m0,x))
--E 602
)spool
)lisp (bye)

———-

References^{[1] nothing}

66