$SPAD/src/input richder3s.input

Albert Rich and Timothy Daly December 3, 2016

Abstract

(a+b x)^m (c+d)^n (e+f x)^p

There are no derivatives in the file.

Contents

2

— * —

)set break resume
)sys rm -f richder3s.output
)spool richder3s.output
)set message test on
)set message auto off
)clear all

--S 1 of 300
t0:=(1-2*x)^(5/2)*(2+3*x)^(3/2)/sqrt(3+5*x)
--R
--R
--R            3     2           +--------+ +------+
--R        (12x  - 4x  - 5x + 2)\|- 2x + 1 \|3x + 2
--R   (1)  -----------------------------------------
--R                         +------+
--R                        \|5x + 3
--R                                                    Type: Expression(Integer)
--E 1
--S 2 of 300
--r0:=-21547/759375*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/_
--     sqrt(33)-8024546/759375*elliptic_e(asin(sqrt(5/11)*_
--     sqrt(1-2*x)),33/35)/sqrt(35)+106/1575*(1-2*x)^(3/2)*(2+3*x)^(3/2)*_
--     sqrt(3+5*x)+2/45*(1-2*x)^(5/2)*(2+3*x)^(3/2)*sqrt(3+5*x)+_
--     8878/118125*(2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x)+_
--     21547/1771875*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 2
--S 3 of 300
--d0:=t0-D(r0,x)
--E 3
)clear all
--S 4 of 300
t0:=(1-2*x)^(5/2)*sqrt(2+3*x)/sqrt(3+5*x)
--R
--R
--R           2           +--------+ +------+
--R        (4x  - 4x + 1)\|- 2x + 1 \|3x + 2
--R   (1)  ----------------------------------
--R                      +------+
--R                     \|5x + 3
--R                                                    Type: Expression(Integer)
--E 4

--S 5 of 300
--r0:=-101902/50625*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/_
--     sqrt(33)-408311/50625*elliptic_e(asin(sqrt(5/11)*_
--     sqrt(1-2*x)),33/35)/sqrt(35)+326/2625*(1-2*x)^(3/2)*_
--     sqrt(2+3*x)*sqrt(3+5*x)+2/35*(1-2*x)^(5/2)*sqrt(2+3*x)*_
--     sqrt(3+5*x)+30922/118125*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 5
--S 6 of 300
--d0:=t0-D(r0,x)
--E 6
)clear all
--S 7 of 300
t0:=(1-2*x)^(5/2)/(sqrt(2+3*x)*sqrt(3+5*x))
--R
--R
--R           2           +--------+
--R        (4x  - 4x + 1)\|- 2x + 1
--R   (1)  -------------------------
--R             +------+ +------+
--R            \|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 7
--S 8 of 300
--r0:=53194/10125*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*_
--     sqrt(7/5)-246694/10125*elliptic_f(asin(sqrt(3/7)*_
--     sqrt(1-2*x)),35/33)/sqrt(33)-4/75*(1-2*x)^(3/2)*sqrt(2+3*x)*_
--     sqrt(3+5*x)-1088/3375*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 8
--S 9 of 300
--d0:=t0-D(r0,x)
--E 9
)clear all
--S 10 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(3/2)*sqrt(3+5*x))
--R
--R
--R            2           +--------+
--R         (4x  - 4x + 1)\|- 2x + 1
--R   (1)  --------------------------
--R                 +------+ +------+
--R        (3x + 2)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 10

--S 11 of 300
--r0:=-8314/405*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)+_
--     8764/405*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2*(1-2*x)^(5/2)*sqrt(3+5*x)/sqrt(2+3*x)+4/3*(1-2*x)^(3/2)*_
--     sqrt(2+3*x)*sqrt(3+5*x)+428/135*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 11
--S 12 of 300
--d0:=t0-D(r0,x)
--E 12
)clear all
--S 13 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(5/2)*sqrt(3+5*x))
--R
--R
--R               2           +--------+
--R            (4x  - 4x + 1)\|- 2x + 1
--R   (1)  ---------------------------------
--R           2            +------+ +------+
--R        (9x  + 12x + 4)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 13
--S 14 of 300
--r0:=-3896/81*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)+_
--     476/81*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2/3*(1-2*x)^(5/2)*sqrt(3+5*x)/(2+3*x)^(3/2)+40/3*(1-2*x)^(3/2)*_
--     sqrt(3+5*x)/sqrt(2+3*x)+232/27*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 14
--S 15 of 300
--d0:=t0-D(r0,x)
--E 15
)clear all
--S 16 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(7/2)*sqrt(3+5*x))
--R
--R
--R                   2           +--------+
--R                (4x  - 4x + 1)\|- 2x + 1
--R   (1)  -----------------------------------------
--R            3      2            +------+ +------+
--R        (27x  + 54x  + 36x + 8)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 16

--S 17 of 300
--r0:=-16564/81*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)+_
--     3352/81*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2/5*(1-2*x)^(5/2)*sqrt(3+5*x)/(2+3*x)^(5/2)+52/9*(1-2*x)^(3/2)*_
--     sqrt(3+5*x)/(2+3*x)^(3/2)+3412/27*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 17
--S 18 of 300
--d0:=t0-D(r0,x)
--E 18
)clear all
--S 19 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(9/2)*sqrt(3+5*x))
--R
--R
--R                        2           +--------+
--R                     (4x  - 4x + 1)\|- 2x + 1
--R   (1)  ---------------------------------------------------
--R            4       3       2             +------+ +------+
--R        (81x  + 216x  + 216x  + 96x + 16)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 19
--S 20 of 300
--r0:=-703480/567*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)+_
--     101240/567*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2/7*(1-2*x)^(5/2)*sqrt(3+5*x)/(2+3*x)^(7/2)+80/21*(1-2*x)^(3/2)*_
--     sqrt(3+5*x)/(2+3*x)^(5/2)+10580/189*sqrt(1-2*x)*sqrt(3+5*x)/_
--     (2+3*x)^(3/2)+703480/1323*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 20
--S 21 of 300
--d0:=t0-D(r0,x)
--E 21
)clear all
--S 22 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(11/2)*sqrt(3+5*x))
--R
--R
--R                              2           +--------+
--R                           (4x  - 4x + 1)\|- 2x + 1
--R   (1)  --------------------------------------------------------------
--R             5       4        3       2              +------+ +------+
--R        (243x  + 810x  + 1080x  + 720x  + 240x + 32)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)

--E 22
--S 23 of 300
--r0:=-66055016/11907*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*_
--     sqrt(5/7)+9505840/11907*elliptic_f(asin(sqrt(3/7)*_
--     sqrt(1-2*x)),35/33)/sqrt(33)+2/9*(1-2*x)^(5/2)*sqrt(3+5*x)/_
--     (2+3*x)^(9/2)+20/7*(1-2*x)^(3/2)*sqrt(3+5*x)/(2+3*x)^(7/2)+_
--     7148/189*sqrt(1-2*x)*sqrt(3+5*x)/(2+3*x)^(5/2)+_
--     950584/3969*sqrt(1-2*x)*sqrt(3+5*x)/(2+3*x)^(3/2)+_
--     66055016/27783*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 23
--S 24 of 300
--d0:=t0-D(r0,x)
--E 24
)clear all
--S 25 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(13/2)*sqrt(3+5*x))
--R
--R
--R   (1)
--R                              2           +--------+
--R                           (4x  - 4x + 1)\|- 2x + 1
--R   -------------------------------------------------------------------------
--R        6        5        4        3        2              +------+ +------+
--R   (729x  + 2916x  + 4860x  + 4320x  + 2160x  + 576x + 64)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 25
--S 26 of 300
--r0:=-23204503328/916839*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*_
--     sqrt(5/7)+3339309520/916839*elliptic_f(asin(sqrt(3/7)*_
--     sqrt(1-2*x)),35/33)/sqrt(33)+2/11*(1-2*x)^(5/2)*sqrt(3+5*x)/_
--     (2+3*x)^(11/2)+680/297*(1-2*x)^(3/2)*sqrt(3+5*x)/(2+3*x)^(9/2)+_
--     180020/6237*sqrt(1-2*x)*sqrt(3+5*x)/(2+3*x)^(7/2)+_
--     7173272/43659*sqrt(1-2*x)*sqrt(3+5*x)/(2+3*x)^(5/2)+_
--     333930952/305613*sqrt(1-2*x)*sqrt(3+5*x)/(2+3*x)^(3/2)+_
--     23204503328/2139291*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 26
--S 27 of 300
--d0:=t0-D(r0,x)
--E 27
)clear all
--S 28 of 300
t0:=(1-2*x)^(5/2)*(2+3*x)^(7/2)/(3+5*x)^(3/2)

--R
--R
--R             5       4      3      2           +--------+ +------+
--R        (108x  + 108x  - 45x  - 58x  + 4x + 8)\|- 2x + 1 \|3x + 2
--R   (1)  ----------------------------------------------------------
--R                                      +------+
--R                             (5x + 3)\|5x + 3
--R                                                    Type: Expression(Integer)
--E 28
--S 29 of 300
--r0:=703672/13921875*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/_
--     sqrt(33)-264260033/27843750*elliptic_e(asin(sqrt(5/11)*_
--     sqrt(1-2*x)),33/35)/sqrt(35)-2/5*(1-2*x)^(5/2)*(2+3*x)^(7/2)/_
--     sqrt(3+5*x)-48/275*(1-2*x)^(3/2)*(2+3*x)^(7/2)*sqrt(3+5*x)+_
--     2020841/6496875*(2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x)+_
--     346636/259875*(2+3*x)^(5/2)*sqrt(1-2*x)*sqrt(3+5*x)-_
--     2972/7425*(2+3*x)^(7/2)*sqrt(1-2*x)*sqrt(3+5*x)-_
--     703672/32484375*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 29
--S 30 of 300
--d0:=t0-D(r0,x)
--E 30
)clear all
--S 31 of 300
t0:=(1-2*x)^(5/2)*(2+3*x)^(5/2)/(3+5*x)^(3/2)
--R
--R
--R            4      3      2           +--------+ +------+
--R        (36x  + 12x  - 23x  - 4x + 4)\|- 2x + 1 \|3x + 2
--R   (1)  -------------------------------------------------
--R                                 +------+
--R                        (5x + 3)\|5x + 3
--R                                                    Type: Expression(Integer)
--E 31
--S 32 of 300
--r0:=-196499/253125*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/_
--     sqrt(33)-1509007/253125*elliptic_e(asin(sqrt(5/11)*_
--     sqrt(1-2*x)),33/35)/sqrt(35)-2/5*(1-2*x)^(5/2)*(2+3*x)^(5/2)/_
--     sqrt(3+5*x)-8/45*(1-2*x)^(3/2)*(2+3*x)^(5/2)*sqrt(3+5*x)+_
--     167228/118125*(2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x)-_
--     1972/4725*(2+3*x)^(5/2)*sqrt(1-2*x)*sqrt(3+5*x)+_
--     196499/590625*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 32
--S 33 of 300

--d0:=t0-D(r0,x)
--E 33
)clear all
--S 34 of 300
t0:=(1-2*x)^(5/2)*(2+3*x)^(3/2)/(3+5*x)^(3/2)
--R
--R
--R            3     2           +--------+ +------+
--R        (12x  - 4x  - 5x + 2)\|- 2x + 1 \|3x + 2
--R   (1)  -----------------------------------------
--R                             +------+
--R                    (5x + 3)\|5x + 3
--R                                                    Type: Expression(Integer)
--E 34
--S 35 of 300
--r0:=-106772/28125*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/_
--     sqrt(33)+53279/28125*elliptic_e(asin(sqrt(5/11)*_
--     sqrt(1-2*x)),33/35)/sqrt(35)-2/5*(1-2*x)^(5/2)*(2+3*x)^(3/2)/_
--     sqrt(3+5*x)-32/175*(1-2*x)^(3/2)*(2+3*x)^(3/2)*sqrt(3+5*x)-_
--     1972/4375*(2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x)+_
--     106772/65625*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 35
--S 36 of 300
--d0:=t0-D(r0,x)
--E 36
)clear all
--S 37 of 300
t0:=(1-2*x)^(5/2)*sqrt(2+3*x)/(3+5*x)^(3/2)
--R
--R
--R           2           +--------+ +------+
--R        (4x  - 4x + 1)\|- 2x + 1 \|3x + 2
--R   (1)  ----------------------------------
--R                          +------+
--R                 (5x + 3)\|5x + 3
--R                                                    Type: Expression(Integer)
--E 37
--S 38 of 300
--r0:=81164/16875*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)-_
--     218414/16875*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/_
--     sqrt(33)-2/5*(1-2*x)^(5/2)*sqrt(2+3*x)/sqrt(3+5*x)-_
--     24/125*(1-2*x)^(3/2)*sqrt(2+3*x)*sqrt(3+5*x)-_
--     3028/5625*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)

--E 38
--S 39 of 300
--d0:=t0-D(r0,x)
--E 39
)clear all
--S 40 of 300
t0:=(1-2*x)^(5/2)/((3+5*x)^(3/2)*sqrt(2+3*x))
--R
--R
--R            2           +--------+
--R         (4x  - 4x + 1)\|- 2x + 1
--R   (1)  --------------------------
--R                 +------+ +------+
--R        (5x + 3)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 40
--S 41 of 300
--r0:=5594/675*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)+_
--     5656/675*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     2*(1-2*x)^(5/2)*sqrt(2+3*x)/sqrt(3+5*x)-4/5*(1-2*x)^(3/2)*_
--     sqrt(2+3*x)*sqrt(3+5*x)-388/225*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 41
--S 42 of 300
--d0:=t0-D(r0,x)
--E 42
)clear all
--S 43 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(3/2)*(3+5*x)^(3/2))
--R
--R
--R                2           +--------+
--R             (4x  - 4x + 1)\|- 2x + 1
--R   (1)  ----------------------------------
--R            2            +------+ +------+
--R        (15x  + 19x + 6)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 43
--S 44 of 300
--r0:=4636/45*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)-_
--     1036/45*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2*(1-2*x)^(5/2)/(sqrt(2+3*x)*sqrt(3+5*x))-44*(1-2*x)^(3/2)*_
--     sqrt(2+3*x)/sqrt(3+5*x)-272/15*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)

--E 44
--S 45 of 300
--d0:=t0-D(r0,x)
--E 45
)clear all
--S 46 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(5/2)*(3+5*x)^(3/2))
--R
--R
--R                    2           +--------+
--R                 (4x  - 4x + 1)\|- 2x + 1
--R   (1)  ------------------------------------------
--R            3      2             +------+ +------+
--R        (45x  + 87x  + 56x + 12)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 46
--S 47 of 300
--r0:=17804/27*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)-_
--     3584/27*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2/3*(1-2*x)^(5/2)/((2+3*x)^(3/2)*sqrt(3+5*x))+260/9*(1-2*x)^(3/2)/_
--     (sqrt(2+3*x)*sqrt(3+5*x))-5764/9*sqrt(1-2*x)*sqrt(2+3*x)/sqrt(3+5*x)
--E 47
--S 48 of 300
--d0:=t0-D(r0,x)
--E 48
)clear all
--S 49 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(7/2)*(3+5*x)^(3/2))
--R
--R
--R                         2           +--------+
--R                      (4x  - 4x + 1)\|- 2x + 1
--R   (1)  -----------------------------------------------------
--R             4       3       2              +------+ +------+
--R        (135x  + 351x  + 342x  + 148x + 24)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 49
--S 50 of 300
--r0:=105584/27*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)-_
--     21272/27*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2/5*(1-2*x)^(5/2)/((2+3*x)^(5/2)*sqrt(3+5*x))+80/9*(1-2*x)^(3/2)/_
--     ((2+3*x)^(3/2)*sqrt(3+5*x))+10636/27*sqrt(1-2*x)/(sqrt(2+3*x)*_

--     sqrt(3+5*x))-105584/27*sqrt(1-2*x)*sqrt(2+3*x)/sqrt(3+5*x)
--E 50
--S 51 of 300
--d0:=t0-D(r0,x)
--E 51
)clear all
--S 52 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(9/2)*(3+5*x)^(3/2))
--R
--R
--R                               2           +--------+
--R                            (4x  - 4x + 1)\|- 2x + 1
--R   (1)  ----------------------------------------------------------------
--R             5        4        3        2              +------+ +------+
--R        (405x  + 1323x  + 1728x  + 1128x  + 368x + 48)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 52
--S 53 of 300
--r0:=1959032/63*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)-_
--     281920/63*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2/7*(1-2*x)^(5/2)/((2+3*x)^(7/2)*sqrt(3+5*x))+36/7*(1-2*x)^(3/2)/_
--     ((2+3*x)^(5/2)*sqrt(3+5*x))+7204/63*sqrt(1-2*x)/((2+3*x)^(3/2)*_
--     sqrt(3+5*x))+324104/147*sqrt(1-2*x)/(sqrt(2+3*x)*sqrt(3+5*x))-_
--     9795160/441*sqrt(1-2*x)*sqrt(2+3*x)/sqrt(3+5*x)
--E 53
--S 54 of 300
--d0:=t0-D(r0,x)
--E 54
)clear all
--S 55 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(11/2)*(3+5*x)^(3/2))
--R
--R
--R   (1)
--R                               2           +--------+
--R                            (4x  - 4x + 1)\|- 2x + 1
--R   --------------------------------------------------------------------------
--R         6        5        4        3        2              +------+ +------+
--R   (1215x  + 4779x  + 7830x  + 6840x  + 3360x  + 880x + 96)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 55
--S 56 of 300

--r0:=683150096/3969*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*_
--     sqrt(5/7)-98310640/3969*elliptic_f(asin(sqrt(3/7)*_
--     sqrt(1-2*x)),35/33)/sqrt(33)+2/9*(1-2*x)^(5/2)/((2+3*x)^(9/2)*_
--     sqrt(3+5*x))+680/189*(1-2*x)^(3/2)/((2+3*x)^(7/2)*sqrt(3+5*x))+_
--     36284/567*sqrt(1-2*x)/((2+3*x)^(5/2)*sqrt(3+5*x))+_
--     813208/1323*sqrt(1-2*x)/((2+3*x)^(3/2)*sqrt(3+5*x))+_
--     113020952/9261*sqrt(1-2*x)/(sqrt(2+3*x)*sqrt(3+5*x))-_
--     3415750480/27783*sqrt(1-2*x)*sqrt(2+3*x)/sqrt(3+5*x)
--E 56
--S 57 of 300
--d0:=t0-D(r0,x)
--E 57
)clear all
--S 58 of 300
t0:=(1-2*x)^(5/2)*(2+3*x)^(7/2)/(3+5*x)^(5/2)
--R
--R
--R             5       4      3      2           +--------+ +------+
--R        (108x  + 108x  - 45x  - 58x  + 4x + 8)\|- 2x + 1 \|3x + 2
--R   (1)  ----------------------------------------------------------
--R                             2            +------+
--R                         (25x  + 30x + 9)\|5x + 3
--R                                                    Type: Expression(Integer)
--E 58
--S 59 of 300
--r0:=-2/15*(1-2*x)^(5/2)*(2+3*x)^(7/2)/(3+5*x)^(3/2)-_
--     500501/421875*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     1065118/421875*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/_
--     sqrt(35)-442/75*(1-2*x)^(3/2)*(2+3*x)^(7/2)/sqrt(3+5*x)+_
--     373022/196875*(2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x)+_
--     59662/7875*(2+3*x)^(5/2)*sqrt(1-2*x)*sqrt(3+5*x)-_
--     524/225*(2+3*x)^(7/2)*sqrt(1-2*x)*sqrt(3+5*x)+_
--     500501/984375*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 59
--S 60 of 300
--d0:=t0-D(r0,x)
--E 60
)clear all
--S 61 of 300
t0:=(1-2*x)^(5/2)*(2+3*x)^(5/2)/(3+5*x)^(5/2)
--R
--R
--R            4      3      2           +--------+ +------+

--R        (36x  + 12x  - 23x  - 4x + 4)\|- 2x + 1 \|3x + 2
--R   (1)  -------------------------------------------------
--R                        2            +------+
--R                    (25x  + 30x + 9)\|5x + 3
--R                                                    Type: Expression(Integer)
--E 61
--S 62 of 300
--r0:=-2/15*(1-2*x)^(5/2)*(2+3*x)^(5/2)/(3+5*x)^(3/2)-_
--     33778/9375*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     49321/9375*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)-_
--     62/15*(1-2*x)^(3/2)*(2+3*x)^(5/2)/sqrt(3+5*x)+_
--     22866/4375*(2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x)-_
--     284/175*(2+3*x)^(5/2)*sqrt(1-2*x)*sqrt(3+5*x)+_
--     33778/21875*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 62
--S 63 of 300
--d0:=t0-D(r0,x)
--E 63
)clear all
--S 64 of 300
t0:=(1-2*x)^(5/2)*(2+3*x)^(3/2)/(3+5*x)^(5/2)
--R
--R
--R            3     2           +--------+ +------+
--R        (12x  - 4x  - 5x + 2)\|- 2x + 1 \|3x + 2
--R   (1)  -----------------------------------------
--R                    2            +------+
--R                (25x  + 30x + 9)\|5x + 3
--R                                                    Type: Expression(Integer)
--E 64
--S 65 of 300
--r0:=-2/15*(1-2*x)^(5/2)*(2+3*x)^(3/2)/(3+5*x)^(3/2)-_
--     6902/3125*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)*_
--     sqrt(3/11)+9206/3125*elliptic_e(asin(sqrt(5/11)*_
--     sqrt(1-2*x)),33/35)*sqrt(7/5)-178/75*(1-2*x)^(3/2)*(2+3*x)^(3/2)/_
--     sqrt(3+5*x)-572/625*(2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x)+_
--     8874/3125*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 65
--S 66 of 300
--d0:=t0-D(r0,x)
--E 66
)clear all

--S 67 of 300
t0:=(1-2*x)^(5/2)*sqrt(2+3*x)/(3+5*x)^(5/2)
--R
--R
--R           2           +--------+ +------+
--R        (4x  - 4x + 1)\|- 2x + 1 \|3x + 2
--R   (1)  ----------------------------------
--R                 2            +------+
--R             (25x  + 30x + 9)\|5x + 3
--R                                                    Type: Expression(Integer)
--E 67
--S 68 of 300
--r0:=338/1125*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)+_
--     6412/1125*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     2/15*(1-2*x)^(5/2)*sqrt(2+3*x)/(3+5*x)^(3/2)-46/75*(1-2*x)^(3/2)*_
--     sqrt(2+3*x)/sqrt(3+5*x)-76/375*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 68
--S 69 of 300
--d0:=t0-D(r0,x)
--E 69
)clear all
--S 70 of 300
t0:=(1-2*x)^(5/2)/((3+5*x)^(5/2)*sqrt(2+3*x))
--R
--R
--R                2           +--------+
--R             (4x  - 4x + 1)\|- 2x + 1
--R   (1)  ----------------------------------
--R            2            +------+ +------+
--R        (25x  + 30x + 9)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 70
--S 71 of 300
--r0:=28/25*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)*sqrt(3/11)-_
--     584/25*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)-_
--     2/3*(1-2*x)^(5/2)*sqrt(2+3*x)/(3+5*x)^(3/2)+152/15*(1-2*x)^(3/2)*_
--     sqrt(2+3*x)/sqrt(3+5*x)+104/25*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 71
--S 72 of 300
--d0:=t0-D(r0,x)
--E 72
)clear all

--S 73 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(3/2)*(3+5*x)^(5/2))
--R
--R
--R                    2           +--------+
--R                 (4x  - 4x + 1)\|- 2x + 1
--R   (1)  -------------------------------------------
--R            3       2             +------+ +------+
--R        (75x  + 140x  + 87x + 18)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 73
--S 74 of 300
--r0:=-6388/15*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)+_
--     1288/15*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2*(1-2*x)^(5/2)/((3+5*x)^(3/2)*sqrt(2+3*x))-88/3*(1-2*x)^(3/2)*_
--     sqrt(2+3*x)/(3+5*x)^(3/2)+2068/5*sqrt(1-2*x)*sqrt(2+3*x)/sqrt(3+5*x)
--E 74
--S 75 of 300
--d0:=t0-D(r0,x)
--E 75
)clear all
--S 76 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(5/2)*(3+5*x)^(5/2))
--R
--R
--R                         2           +--------+
--R                      (4x  - 4x + 1)\|- 2x + 1
--R   (1)  -----------------------------------------------------
--R             4       3       2              +------+ +------+
--R        (225x  + 570x  + 541x  + 228x + 36)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 76
--S 77 of 300
--r0:=2/3*(1-2*x)^(5/2)/((2+3*x)^(3/2)*(3+5*x)^(3/2))-_
--     36968/9*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)+_
--     7448/9*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     400/9*(1-2*x)^(3/2)/((3+5*x)^(3/2)*sqrt(2+3*x))-5852/9*_
--     sqrt(1-2*x)*sqrt(2+3*x)/(3+5*x)^(3/2)+36968/9*sqrt(1-2*x)*_
--     sqrt(2+3*x)/sqrt(3+5*x)
--E 77
--S 78 of 300
--d0:=t0-D(r0,x)
--E 78

)clear all
--S 79 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(7/2)*(3+5*x)^(5/2))
--R
--R
--R                               2           +--------+
--R                            (4x  - 4x + 1)\|- 2x + 1
--R   (1)  ----------------------------------------------------------------
--R             5        4        3        2              +------+ +------+
--R        (675x  + 2160x  + 2763x  + 1766x  + 564x + 72)\|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 79
--S 80 of 300
--r0:=2/5*(1-2*x)^(5/2)/((2+3*x)^(5/2)*(3+5*x)^(3/2))+12*(1-2*x)^(3/2)/_
--     ((2+3*x)^(3/2)*(3+5*x)^(3/2))-96808/3*elliptic_e(asin(sqrt(5/11)*_
--     sqrt(1-2*x)),33/35)*sqrt(7/5)+19504/3*elliptic_f(asin(sqrt(3/7)*_
--     sqrt(1-2*x)),35/33)/sqrt(33)+2420/3*sqrt(1-2*x)/((3+5*x)^(3/2)*_
--     sqrt(2+3*x))-16016/3*sqrt(1-2*x)*sqrt(2+3*x)/(3+5*x)^(3/2)+_
--     96808/3*sqrt(1-2*x)*sqrt(2+3*x)/sqrt(3+5*x)
--E 80
--S 81 of 300
--d0:=t0-D(r0,x)
--E 81
)clear all
--S 82 of 300
t0:=(1-2*x)^(5/2)/((2+3*x)^(9/2)*(3+5*x)^(5/2))
--R
--R
--R   (1)
--R        2           +--------+
--R     (4x  - 4x + 1)\|- 2x + 1
--R  /
--R             6        5         4         3        2                +------+
--R       (2025x  + 7830x  + 12609x  + 10824x  + 5224x  + 1344x + 144)\|3x + 2
--R    *
--R        +------+
--R       \|5x + 3
--R                                                    Type: Expression(Integer)
--E 82
--S 83 of 300
--r0:=2/7*(1-2*x)^(5/2)/((2+3*x)^(7/2)*(3+5*x)^(3/2))+136/21*(1-2*x)^(3/2)/_
--     ((2+3*x)^(5/2)*(3+5*x)^(3/2))-2234208/7*elliptic_e(asin(sqrt(5/11)*_
--     sqrt(1-2*x)),33/35)*sqrt(5/7)+321520/7*elliptic_f(asin(sqrt(3/7)*_
--     sqrt(1-2*x)),35/33)/sqrt(33)+12188/63*sqrt(1-2*x)/((2+3*x)^(3/2)*_

--     (3+5*x)^(3/2))+2488904/441*sqrt(1-2*x)/((3+5*x)^(3/2)*sqrt(2+3*x))-_
--     5544440/147*sqrt(1-2*x)*sqrt(2+3*x)/(3+5*x)^(3/2)+11171040/49*_
--     sqrt(1-2*x)*sqrt(2+3*x)/sqrt(3+5*x)
--E 83
--S 84 of 300
--d0:=t0-D(r0,x)
--E 84
)clear all
--S 85 of 300
t0:=(2+3*x)^(5/2)*sqrt(3+5*x)/sqrt(1-2*x)
--R
--R
--R           2            +------+ +------+
--R        (9x  + 12x + 4)\|3x + 2 \|5x + 3
--R   (1)  ---------------------------------
--R                    +--------+
--R                   \|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 85
--S 86 of 300
--r0:=1613/250*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     56041/250*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)-_
--     104/175*(2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x)-1/7*(2+3*x)^(5/2)*_
--     sqrt(1-2*x)*sqrt(3+5*x)-4839/1750*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 86
--S 87 of 300
--d0:=t0-D(r0,x)
--E 87
)clear all
--S 88 of 300
t0:=(2+3*x)^(3/2)*sqrt(3+5*x)/sqrt(1-2*x)
--R
--R
--R                 +------+ +------+
--R        (3x + 2)\|3x + 2 \|5x + 3
--R   (1)  --------------------------
--R                 +--------+
--R                \|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 88
--S 89 of 300
--r0:=-1597/150*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)+_

--     161/75*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     1/5*(2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x)-23/25*sqrt(1-2*x)*_
--     sqrt(2+3*x)*sqrt(3+5*x)
--E 89
--S 90 of 300
--d0:=t0-D(r0,x)
--E 90
)clear all
--S 91 of 300
t0:=sqrt(2+3*x)*sqrt(3+5*x)/sqrt(1-2*x)
--R
--R
--R         +------+ +------+
--R        \|3x + 2 \|5x + 3
--R   (1)  ------------------
--R             +--------+
--R            \|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 91
--S 92 of 300
--r0:=-34/9*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)+_
--     7/9*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     1/3*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 92
--S 93 of 300
--d0:=t0-D(r0,x)
--E 93
)clear all
--S 94 of 300
t0:=sqrt(3+5*x)/(sqrt(1-2*x)*sqrt(2+3*x))
--R
--R
--R               +------+
--R              \|5x + 3
--R   (1)  --------------------
--R         +--------+ +------+
--R        \|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 94
--S 95 of 300
--r0:=-elliptic_e(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)*sqrt(11/3)
--E 95

--S 96 of 300
--d0:=t0-D(r0,x)
--E 96
)clear all
--S 97 of 300
t0:=sqrt(3+5*x)/((2+3*x)^(3/2)*sqrt(1-2*x))
--R
--R
--R                   +------+
--R                  \|5x + 3
--R   (1)  ----------------------------
--R                 +--------+ +------+
--R        (3x + 2)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 97
--S 98 of 300
--r0:=2/3*elliptic_e(asin(sqrt(5)*sqrt(2+3*x)),2/35)*sqrt(5/7)*_
--     sqrt(-3-5*x)/sqrt(3+5*x)-2/7*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 98
--S 99 of 300
--d0:=t0-D(r0,x)
--E 99
)clear all
--S 100 of 300
t0:=sqrt(3+5*x)/((2+3*x)^(5/2)*sqrt(1-2*x))
--R
--R
--R                      +------+
--R                     \|5x + 3
--R   (1)  -----------------------------------
--R           2            +--------+ +------+
--R        (9x  + 12x + 4)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 100
--S 101 of 300
--r0:=-62/63*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)-_
--     20/63*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     2/21*sqrt(1-2*x)*sqrt(3+5*x)/(2+3*x)^(3/2)+62/147*sqrt(1-2*x)*_
--     sqrt(3+5*x)/sqrt(2+3*x)
--E 101
--S 102 of 300

)clear all
--S 103 of 300
t0:=sqrt(3+5*x)/((2+3*x)^(7/2)*sqrt(1-2*x))
--R
--R
--R                          +------+
--R                         \|5x + 3
--R   (1)  -------------------------------------------
--R            3      2            +--------+ +------+
--R        (27x  + 54x  + 36x + 8)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 103
--S 104 of 300
--r0:=4/49*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)*sqrt(3/11)-_
--     584/49*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)-_
--     2/35*sqrt(1-2*x)*sqrt(3+5*x)/(2+3*x)^(5/2)+18/245*sqrt(1-2*x)*_
--     sqrt(3+5*x)/(2+3*x)^(3/2)+1752/1715*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 104
--S 105 of 300
--d0:=t0-D(r0,x)
--E 105
)clear all
--S 106 of 300
t0:=(2+3*x)^(5/2)*(3+5*x)^(3/2)/sqrt(1-2*x)
--R
--R
--R            3      2             +------+ +------+
--R        (45x  + 87x  + 56x + 12)\|3x + 2 \|5x + 3
--R   (1)  ------------------------------------------
--R                         +--------+
--R                        \|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 106
--S 107 of 300
--r0:=317384/10125*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     44109377/40500*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/_
--     sqrt(35)-137/315*(2+3*x)^(3/2)*(3+5*x)^(3/2)*sqrt(1-2*x)-_
--     1/9*(2+3*x)^(5/2)*(3+5*x)^(3/2)*sqrt(1-2*x)-9547/5250*(3+5*x)^(3/2)*_
--     sqrt(1-2*x)*sqrt(2+3*x)-663409/47250*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 107

)clear all
--S 109 of 300
t0:=(2+3*x)^(3/2)*(3+5*x)^(3/2)/sqrt(1-2*x)
--R
--R
--R            2            +------+ +------+
--R        (15x  + 19x + 6)\|3x + 2 \|5x + 3
--R   (1)  ----------------------------------
--R                     +--------+
--R                    \|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 109
--S 110 of 300
--r0:=4517/450*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     78472/225*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)-_
--     1/7*(2+3*x)^(3/2)*(3+5*x)^(3/2)*sqrt(1-2*x)-102/175*(3+5*x)^(3/2)*_
--     sqrt(1-2*x)*sqrt(2+3*x)-4721/1050*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 110
--S 111 of 300
--d0:=t0-D(r0,x)
--E 111
)clear all
--S 112 of 300
t0:=(3+5*x)^(3/2)*sqrt(2+3*x)/sqrt(1-2*x)
--R
--R
--R                 +------+ +------+
--R        (5x + 3)\|3x + 2 \|5x + 3
--R   (1)  --------------------------
--R                 +--------+
--R                \|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 112
--S 113 of 300
--r0:=-4451/270*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)+_
--     448/135*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     1/5*(3+5*x)^(3/2)*sqrt(1-2*x)*sqrt(2+3*x)-67/45*sqrt(1-2*x)*_
--     sqrt(2+3*x)*sqrt(3+5*x)
--E 113

)clear all
--S 115 of 300
t0:=(3+5*x)^(3/2)/(sqrt(1-2*x)*sqrt(2+3*x))
--R
--R
--R                   +------+
--R          (5x + 3)\|5x + 3
--R   (1)  --------------------
--R         +--------+ +------+
--R        \|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 115
--S 116 of 300
--r0:=29/27*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     31/27*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(35)-_
--     5/9*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 116
--S 117 of 300
--d0:=t0-D(r0,x)
--E 117
)clear all
--S 118 of 300
t0:=(3+5*x)^(3/2)/((2+3*x)^(3/2)*sqrt(1-2*x))
--R
--R
--R                       +------+
--R              (5x + 3)\|5x + 3
--R   (1)  ----------------------------
--R                 +--------+ +------+
--R        (3x + 2)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 118
--S 119 of 300
--r0:=-37/9*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)+_
--     20/9*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     2/7*(3+5*x)^(3/2)*sqrt(1-2*x)/sqrt(2+3*x)+10/21*sqrt(1-2*x)*_
--     sqrt(2+3*x)*sqrt(3+5*x)
--E 119
--S 120 of 300

)clear all
--S 121 of 300
t0:=(3+5*x)^(3/2)/((2+3*x)^(5/2)*sqrt(1-2*x))
--R
--R
--R                          +------+
--R                 (5x + 3)\|5x + 3
--R   (1)  -----------------------------------
--R           2            +--------+ +------+
--R        (9x  + 12x + 4)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 121
--S 122 of 300
--r0:=272/189*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)-_
--     1030/189*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     2/21*(3+5*x)^(3/2)*sqrt(1-2*x)/(2+3*x)^(3/2)-202/441*_
--     sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 122
--S 123 of 300
--d0:=t0-D(r0,x)
--E 123
)clear all
--S 124 of 300
t0:=(3+5*x)^(3/2)/((2+3*x)^(7/2)*sqrt(1-2*x))
--R
--R
--R                              +------+
--R                     (5x + 3)\|5x + 3
--R   (1)  -------------------------------------------
--R            3      2            +--------+ +------+
--R        (27x  + 54x  + 36x + 8)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 124
--S 125 of 300
--r0:=-808/1323*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     5594/1323*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)-_
--     2/35*(3+5*x)^(3/2)*sqrt(1-2*x)/(2+3*x)^(5/2)-194/2205*sqrt(1-2*x)*_
--     sqrt(3+5*x)/(2+3*x)^(3/2)+5594/15435*sqrt(1-2*x)*_
--     sqrt(3+5*x)/sqrt(2+3*x)
--E 125

)clear all
--S 127 of 300
t0:=(3+5*x)^(3/2)/((2+3*x)^(9/2)*sqrt(1-2*x))
--R
--R
--R                                   +------+
--R                          (5x + 3)\|5x + 3
--R   (1)  -----------------------------------------------------
--R            4       3       2             +--------+ +------+
--R        (81x  + 216x  + 216x  + 96x + 16)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 127
--S 128 of 300
--r0:=1948/21609*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     184636/21609*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)-_
--     2/49*(3+5*x)^(3/2)*sqrt(1-2*x)/(2+3*x)^(7/2)-62/1715*sqrt(1-2*x)*_
--     sqrt(3+5*x)/(2+3*x)^(5/2)+974/36015*sqrt(1-2*x)*sqrt(3+5*x)/_
--     (2+3*x)^(3/2)+184636/252105*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 128
--S 129 of 300
--d0:=t0-D(r0,x)
--E 129
)clear all
--S 130 of 300
t0:=(2+3*x)^(7/2)*(3+5*x)^(5/2)/sqrt(1-2*x)
--R
--R
--R             5        4        3        2              +------+ +------+
--R        (675x  + 2160x  + 2763x  + 1766x  + 564x + 72)\|3x + 2 \|5x + 3
--R   (1)  ----------------------------------------------------------------
--R                                    +--------+
--R                                   \|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 130
--S 131 of 300
--r0:=8787401429/17374500*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/_
--     sqrt(33)-610627101631/34749000*elliptic_e(asin(sqrt(5/11)*_
--     sqrt(1-2*x)),33/35)/sqrt(35)-14303/12870*(2+3*x)^(3/2)*(3+5*x)^(5/2)*_
--     sqrt(1-2*x)-41/143*(2+3*x)^(5/2)*(3+5*x)^(5/2)*sqrt(1-2*x)-_
--     1/13*(2+3*x)^(7/2)*(3+5*x)^(5/2)*sqrt(1-2*x)-138809831/4504500*_

--     (3+5*x)^(3/2)*sqrt(1-2*x)*sqrt(2+3*x)-221673/50050*(3+5*x)^(5/2)*_
--     sqrt(1-2*x)*sqrt(2+3*x)-2295970088/10135125*sqrt(1-2*x)*_
--     sqrt(2+3*x)*sqrt(3+5*x)
--E 131
--S 132 of 300
--d0:=t0-D(r0,x)
--E 132
)clear all
--S 133 of 300
t0:=(2+3*x)^(5/2)*(3+5*x)^(5/2)/sqrt(1-2*x)
--R
--R
--R             4       3       2              +------+ +------+
--R        (225x  + 570x  + 541x  + 228x + 36)\|3x + 2 \|5x + 3
--R   (1)  -----------------------------------------------------
--R                              +--------+
--R                             \|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 133
--S 134 of 300
--r0:=41741369/267300*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/_
--     sqrt(33)-725140729/133650*elliptic_e(asin(sqrt(5/11)*_
--     sqrt(1-2*x)),33/35)/sqrt(35)-34/99*(2+3*x)^(3/2)*(3+5*x)^(5/2)*_
--     sqrt(1-2*x)-1/11*(2+3*x)^(5/2)*(3+5*x)^(5/2)*sqrt(1-2*x)-_
--     329683/34650*(3+5*x)^(3/2)*sqrt(1-2*x)*sqrt(2+3*x)-_
--     1053/770*(3+5*x)^(5/2)*sqrt(1-2*x)*sqrt(2+3*x)-_
--     43624697/623700*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 134
--S 135 of 300
--d0:=t0-D(r0,x)
--E 135
)clear all
--S 136 of 300
t0:=(2+3*x)^(3/2)*(3+5*x)^(5/2)/sqrt(1-2*x)
--R
--R
--R            3       2             +------+ +------+
--R        (75x  + 140x  + 87x + 18)\|3x + 2 \|5x + 3
--R   (1)  -------------------------------------------
--R                         +--------+
--R                        \|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 136

--S 137 of 300
--r0:=118823/2430*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     8256877/4860*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/_
--     sqrt(35)-1/9*(2+3*x)^(3/2)*(3+5*x)^(5/2)*sqrt(1-2*x)-_
--     1877/630*(3+5*x)^(3/2)*sqrt(1-2*x)*sqrt(2+3*x)-3/7*(3+5*x)^(5/2)*_
--     sqrt(1-2*x)*sqrt(2+3*x)-62092/2835*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 137
--S 138 of 300
--d0:=t0-D(r0,x)
--E 138
)clear all
--S 139 of 300
t0:=(3+5*x)^(5/2)*sqrt(2+3*x)/sqrt(1-2*x)
--R
--R
--R            2            +------+ +------+
--R        (25x  + 30x + 9)\|3x + 2 \|5x + 3
--R   (1)  ----------------------------------
--R                     +--------+
--R                    \|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 139
--S 140 of 300
--r0:=-17587/162*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)+_
--     2531/162*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     20/21*(3+5*x)^(3/2)*sqrt(1-2*x)*sqrt(2+3*x)-1/7*(3+5*x)^(5/2)*_
--     sqrt(1-2*x)*sqrt(2+3*x)-2645/378*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 140
--S 141 of 300
--d0:=t0-D(r0,x)
--E 141
)clear all
--S 142 of 300
t0:=(3+5*x)^(5/2)/(sqrt(1-2*x)*sqrt(2+3*x))
--R
--R
--R            2            +------+
--R        (25x  + 30x + 9)\|5x + 3
--R   (1)  -------------------------
--R            +--------+ +------+
--R           \|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)

--E 142
--S 143 of 300
--r0:=-4141/162*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)+_
--     419/81*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     1/3*(3+5*x)^(3/2)*sqrt(1-2*x)*sqrt(2+3*x)-62/27*sqrt(1-2*x)*_
--     sqrt(2+3*x)*sqrt(3+5*x)
--E 143
--S 144 of 300
--d0:=t0-D(r0,x)
--E 144
)clear all
--S 145 of 300
t0:=(3+5*x)^(5/2)/((2+3*x)^(3/2)*sqrt(1-2*x))
--R
--R
--R              2            +------+
--R          (25x  + 30x + 9)\|5x + 3
--R   (1)  ----------------------------
--R                 +--------+ +------+
--R        (3x + 2)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 145
--S 146 of 300
--r0:=-974/81*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)+_
--     85/81*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     2/7*(3+5*x)^(5/2)*sqrt(1-2*x)/sqrt(2+3*x)+10/21*(3+5*x)^(3/2)*_
--     sqrt(1-2*x)*sqrt(2+3*x)-205/189*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 146
--S 147 of 300
--d0:=t0-D(r0,x)
--E 147
)clear all
--S 148 of 300
t0:=(3+5*x)^(5/2)/((2+3*x)^(5/2)*sqrt(1-2*x))
--R
--R
--R                 2            +------+
--R             (25x  + 30x + 9)\|5x + 3
--R   (1)  -----------------------------------
--R           2            +--------+ +------+
--R        (9x  + 12x + 4)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)

--E 148
--S 149 of 300
--r0:=-4157/567*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)+_
--     3130/567*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     2/21*(3+5*x)^(5/2)*sqrt(1-2*x)/(2+3*x)^(3/2)-38/49*(3+5*x)^(3/2)*_
--     sqrt(1-2*x)/sqrt(2+3*x)+2060/1323*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 149
--S 150 of 300
--d0:=t0-D(r0,x)
--E 150
)clear all
--S 151 of 300
t0:=(3+5*x)^(5/2)/((2+3*x)^(7/2)*sqrt(1-2*x))
--R
--R
--R                     2            +------+
--R                 (25x  + 30x + 9)\|5x + 3
--R   (1)  -------------------------------------------
--R            3      2            +--------+ +------+
--R        (27x  + 54x  + 36x + 8)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 151
--S 152 of 300
--r0:=-35242/3969*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     53194/3969*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)-_
--     334/2205*(3+5*x)^(3/2)*sqrt(1-2*x)/(2+3*x)^(3/2)-2/35*(3+5*x)^(5/2)*_
--     sqrt(1-2*x)/(2+3*x)^(5/2)-34154/46305*sqrt(1-2*x)*_
--     sqrt(3+5*x)/sqrt(2+3*x)
--E 152
--S 153 of 300
--d0:=t0-D(r0,x)
--E 153
)clear all
--S 154 of 300
t0:=(3+5*x)^(5/2)/((2+3*x)^(9/2)*sqrt(1-2*x))
--R
--R
--R                          2            +------+
--R                      (25x  + 30x + 9)\|5x + 3
--R   (1)  -----------------------------------------------------
--R            4       3       2             +--------+ +------+
--R        (81x  + 216x  + 216x  + 96x + 16)\|- 2x + 1 \|3x + 2

--R                                                    Type: Expression(Integer)
--E 154
--S 155 of 300
--r0:=-203804/194481*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     816622/194481*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)-_
--     326/5145*(3+5*x)^(3/2)*sqrt(1-2*x)/(2+3*x)^(5/2)-2/49*(3+5*x)^(5/2)*_
--     sqrt(1-2*x)/(2+3*x)^(7/2)-30922/324135*sqrt(1-2*x)*sqrt(3+5*x)/_
--     (2+3*x)^(3/2)+816622/2268945*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 155
--S 156 of 300
--d0:=t0-D(r0,x)
--E 156
)clear all
--S 157 of 300
t0:=(3+5*x)^(5/2)/((2+3*x)^(11/2)*sqrt(1-2*x))
--R
--R
--R                                2            +------+
--R                            (25x  + 30x + 9)\|5x + 3
--R   (1)  ----------------------------------------------------------------
--R             5       4        3       2              +--------+ +------+
--R        (243x  + 810x  + 1080x  + 720x  + 240x + 32)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 157
--S 158 of 300
--r0:=-86188/4084101*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     32098184/4084101*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/_
--     sqrt(35)-106/3087*(3+5*x)^(3/2)*sqrt(1-2*x)/(2+3*x)^(7/2)-_
--     2/63*(3+5*x)^(5/2)*sqrt(1-2*x)/(2+3*x)^(9/2)-8878/324135*sqrt(1-2*x)*_
--     sqrt(3+5*x)/(2+3*x)^(5/2)-43094/6806835*sqrt(1-2*x)*sqrt(3+5*x)/_
--     (2+3*x)^(3/2)+32098184/47647845*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 158
--S 159 of 300
--d0:=t0-D(r0,x)
--E 159
)clear all
--S 160 of 300
t0:=(3+5*x)^(5/2)/((2+3*x)^(13/2)*sqrt(1-2*x))
--R
--R
--R   (1)
--R                                2            +------+

--R                            (25x  + 30x + 9)\|5x + 3
--R   ---------------------------------------------------------------------------
--R        6        5        4        3        2              +--------+ +------+
--R   (729x  + 2916x  + 4860x  + 4320x  + 2160x  + 576x + 64)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 160
--S 161 of 300
--r0:=-924247516/314475777*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*_
--     sqrt(5/7)+114606440/314475777*elliptic_f(asin(sqrt(3/7)*_
--     sqrt(1-2*x)),35/33)/sqrt(33)-310/14553*(3+5*x)^(3/2)*sqrt(1-2*x)/_
--     (2+3*x)^(9/2)-2/77*(3+5*x)^(5/2)*sqrt(1-2*x)/(2+3*x)^(11/2)-_
--     21290/2139291*sqrt(1-2*x)*sqrt(3+5*x)/(2+3*x)^(7/2)-_
--     362666/14975037*sqrt(1-2*x)*sqrt(3+5*x)/(2+3*x)^(5/2)+_
--     11460644/104825259*sqrt(1-2*x)*sqrt(3+5*x)/(2+3*x)^(3/2)+_
--     924247516/733776813*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 161
--S 162 of 300
--d0:=t0-D(r0,x)
--E 162
)clear all
--S 163 of 300
t0:=(2+3*x)^(7/2)/(sqrt(1-2*x)*sqrt(3+5*x))
--R
--R
--R            3      2            +------+
--R        (27x  + 54x  + 36x + 8)\|3x + 2
--R   (1)  --------------------------------
--R               +--------+ +------+
--R              \|- 2x + 1 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 163
--S 164 of 300
--r0:=15553/3750*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     270248/1875*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)-_
--     333/875*(2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x)-3/35*(2+3*x)^(5/2)*_
--     sqrt(1-2*x)*sqrt(3+5*x)-15553/8750*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 164
--S 165 of 300
--d0:=t0-D(r0,x)
--E 165
)clear all
--S 166 of 300

t0:=(2+3*x)^(5/2)/(sqrt(1-2*x)*sqrt(3+5*x))
--R
--R
--R           2            +------+
--R        (9x  + 12x + 4)\|3x + 2
--R   (1)  ------------------------
--R           +--------+ +------+
--R          \|- 2x + 1 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 166
--S 167 of 300
--r0:=-5161/750*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)+_
--     518/375*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     3/25*(2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x)-74/125*sqrt(1-2*x)*_
--     sqrt(2+3*x)*sqrt(3+5*x)
--E 167
--S 168 of 300
--d0:=t0-D(r0,x)
--E 168
)clear all
--S 169 of 300
t0:=(2+3*x)^(3/2)/(sqrt(1-2*x)*sqrt(3+5*x))
--R
--R
--R                   +------+
--R          (3x + 2)\|3x + 2
--R   (1)  --------------------
--R         +--------+ +------+
--R        \|- 2x + 1 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 169
--S 170 of 300
--r0:=-37/15*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)+_
--     7/15*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     1/5*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 170
--S 171 of 300
--d0:=t0-D(r0,x)
--E 171
)clear all
--S 172 of 300
t0:=sqrt(2+3*x)/(sqrt(1-2*x)*sqrt(3+5*x))

--R
--R
--R               +------+
--R              \|3x + 2
--R   (1)  --------------------
--R         +--------+ +------+
--R        \|- 2x + 1 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 172
--S 173 of 300
--r0:=-elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)
--E 173
--S 174 of 300
--d0:=t0-D(r0,x)
--E 174
)clear all
--S 175 of 300
t0:=1/(sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x))
--R
--R
--R                      1
--R   (1)  -----------------------------
--R         +--------+ +------+ +------+
--R        \|- 2x + 1 \|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 175
--S 176 of 300
--r0:=-2*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)
--E 176
--S 177 of 300
--d0:=t0-D(r0,x)
--E 177
)clear all
--S 178 of 300
t0:=1/((2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x))
--R
--R
--R                          1
--R   (1)  -------------------------------------
--R                 +--------+ +------+ +------+
--R        (3x + 2)\|- 2x + 1 \|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)

--E 178
--S 179 of 300
--r0:=-2*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)+_
--     6/7*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 179
--S 180 of 300
--d0:=t0-D(r0,x)
--E 180
)clear all
--S 181 of 300
t0:=1/((2+3*x)^(5/2)*sqrt(1-2*x)*sqrt(3+5*x))
--R
--R
--R                              1
--R   (1)  --------------------------------------------
--R           2            +--------+ +------+ +------+
--R        (9x  + 12x + 4)\|- 2x + 1 \|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 181
--S 182 of 300
--r0:=-148/21*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)+_
--     20/21*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2/7*sqrt(1-2*x)*sqrt(3+5*x)/(2+3*x)^(3/2)+148/49*sqrt(1-2*x)*_
--     sqrt(3+5*x)/sqrt(2+3*x)
--E 182
--S 183 of 300
--d0:=t0-D(r0,x)
--E 183
)clear all
--S 184 of 300
t0:=1/((2+3*x)^(7/2)*sqrt(1-2*x)*sqrt(3+5*x))
--R
--R
--R                                  1
--R   (1)  ----------------------------------------------------
--R            3      2            +--------+ +------+ +------+
--R        (27x  + 54x  + 36x + 8)\|- 2x + 1 \|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 184
--S 185 of 300
--r0:=592/147*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_

--     20644/147*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)+_
--     6/35*sqrt(1-2*x)*sqrt(3+5*x)/(2+3*x)^(5/2)+296/245*sqrt(1-2*x)*_
--     sqrt(3+5*x)/(2+3*x)^(3/2)+20644/1715*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 185
--S 186 of 300
--d0:=t0-D(r0,x)
--E 186
)clear all
--S 187 of 300
t0:=(2+3*x)^(7/2)/((3+5*x)^(3/2)*sqrt(1-2*x))
--R
--R
--R            3      2            +------+
--R        (27x  + 54x  + 36x + 8)\|3x + 2
--R   (1)  --------------------------------
--R                   +--------+ +------+
--R          (5x + 3)\|- 2x + 1 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 187
--S 188 of 300
--r0:=-61151/13750*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*_
--     sqrt(7/5)+6013/6875*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/_
--     sqrt(33)-2/11*(2+3*x)^(7/2)*sqrt(1-2*x)/sqrt(3+5*x)-_
--     69/1375*(2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x)+6/55*(2+3*x)^(5/2)*_
--     sqrt(1-2*x)*sqrt(3+5*x)-2577/6875*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 188
--S 189 of 300
--d0:=t0-D(r0,x)
--E 189
)clear all
--S 190 of 300
t0:=(2+3*x)^(5/2)/((3+5*x)^(3/2)*sqrt(1-2*x))
--R
--R
--R             2            +------+
--R          (9x  + 12x + 4)\|3x + 2
--R   (1)  ----------------------------
--R                 +--------+ +------+
--R        (5x + 3)\|- 2x + 1 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 190
--S 191 of 300

--r0:=21/275*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)*sqrt(3/11)-_
--     438/275*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)-_
--     2/11*(2+3*x)^(5/2)*sqrt(1-2*x)/sqrt(3+5*x)+6/55*(2+3*x)^(3/2)*_
--     sqrt(1-2*x)*sqrt(3+5*x)-27/275*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 191
--S 192 of 300
--d0:=t0-D(r0,x)
--E 192
)clear all
--S 193 of 300
t0:=(2+3*x)^(3/2)/((3+5*x)^(3/2)*sqrt(1-2*x))
--R
--R
--R                       +------+
--R              (3x + 2)\|3x + 2
--R   (1)  ----------------------------
--R                 +--------+ +------+
--R        (5x + 3)\|- 2x + 1 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 193
--S 194 of 300
--r0:=-31/55*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)-_
--     14/55*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     2/11*(2+3*x)^(3/2)*sqrt(1-2*x)/sqrt(3+5*x)+6/55*sqrt(1-2*x)*_
--     sqrt(2+3*x)*sqrt(3+5*x)
--E 194
--S 195 of 300
--d0:=t0-D(r0,x)
--E 195
)clear all
--S 196 of 300
t0:=sqrt(2+3*x)/((3+5*x)^(3/2)*sqrt(1-2*x))
--R
--R
--R                   +------+
--R                  \|3x + 2
--R   (1)  ----------------------------
--R                 +--------+ +------+
--R        (5x + 3)\|- 2x + 1 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 196
--S 197 of 300

--r0:=2/11*elliptic_e(asin(sqrt(5)*sqrt(2+3*x)),2/35)*sqrt(7/5)*_
--     sqrt(-3-5*x)/sqrt(3+5*x)-2/11*sqrt(1-2*x)*sqrt(2+3*x)/sqrt(3+5*x)
--E 197
--S 198 of 300
--d0:=t0-D(r0,x)
--E 198
)clear all
--S 199 of 300
t0:=1/((3+5*x)^(3/2)*sqrt(1-2*x)*sqrt(2+3*x))
--R
--R
--R                          1
--R   (1)  -------------------------------------
--R                 +--------+ +------+ +------+
--R        (5x + 3)\|- 2x + 1 \|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 199
--S 200 of 300
--r0:=2*elliptic_e(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)*sqrt(3/11)-_
--     10/11*sqrt(1-2*x)*sqrt(2+3*x)/sqrt(3+5*x)
--E 200
--S 201 of 300
--d0:=t0-D(r0,x)
--E 201
)clear all
--S 202 of 300
t0:=1/((2+3*x)^(3/2)*(3+5*x)^(3/2)*sqrt(1-2*x))
--R
--R
--R                              1
--R   (1)  ---------------------------------------------
--R            2            +--------+ +------+ +------+
--R        (15x  + 19x + 6)\|- 2x + 1 \|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 202
--S 203 of 300
--r0:=136/11*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)-_
--     20/11*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     6/7*sqrt(1-2*x)/(sqrt(2+3*x)*sqrt(3+5*x))-680/77*sqrt(1-2*x)*_
--     sqrt(2+3*x)/sqrt(3+5*x)
--E 203

)clear all
--S 205 of 300
t0:=1/((2+3*x)^(5/2)*(3+5*x)^(3/2)*sqrt(1-2*x))
--R
--R
--R                                  1
--R   (1)  -----------------------------------------------------
--R            3      2             +--------+ +------+ +------+
--R        (45x  + 87x  + 56x + 12)\|- 2x + 1 \|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 205
--S 206 of 300
--r0:=6388/77*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)-_
--     920/77*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2/7*sqrt(1-2*x)/((2+3*x)^(3/2)*sqrt(3+5*x))+288/49*sqrt(1-2*x)/_
--     (sqrt(2+3*x)*sqrt(3+5*x))-31940/539*sqrt(1-2*x)*_
--     sqrt(2+3*x)/sqrt(3+5*x)
--E 206
--S 207 of 300
--d0:=t0-D(r0,x)
--E 207
)clear all
--S 208 of 300
t0:=1/((2+3*x)^(7/2)*(3+5*x)^(3/2)*sqrt(1-2*x))
--R
--R
--R                                        1
--R   (1)  ----------------------------------------------------------------
--R             4       3       2              +--------+ +------+ +------+
--R        (135x  + 351x  + 342x  + 148x + 24)\|- 2x + 1 \|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 208
--S 209 of 300
--r0:=-12904/539*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)*sqrt(3/11)+_
--     1344984/539*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)+_
--     6/35*sqrt(1-2*x)/((2+3*x)^(5/2)*sqrt(3+5*x))+436/245*sqrt(1-2*x)/_
--     ((2+3*x)^(3/2)*sqrt(3+5*x))+60684/1715*sqrt(1-2*x)/(sqrt(2+3*x)*_
--     sqrt(3+5*x))-1344984/3773*sqrt(1-2*x)*sqrt(2+3*x)/sqrt(3+5*x)
--E 209

)clear all
--S 211 of 300
t0:=(2+3*x)^(9/2)/((3+5*x)^(5/2)*sqrt(1-2*x))
--R
--R
--R            4       3       2             +------+
--R        (81x  + 216x  + 216x  + 96x + 16)\|3x + 2
--R   (1)  ------------------------------------------
--R               2            +--------+ +------+
--R           (25x  + 30x + 9)\|- 2x + 1 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 211
--S 212 of 300
--r0:=-6515539/2268750*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*_
--     sqrt(7/5)+612332/1134375*elliptic_f(asin(sqrt(3/7)*_
--     sqrt(1-2*x)),35/33)/sqrt(33)-2/33*(2+3*x)^(9/2)*sqrt(1-2*x)/_
--     (3+5*x)^(3/2)-602/1815*(2+3*x)^(7/2)*sqrt(1-2*x)/sqrt(3+5*x)+_
--     403/75625*(2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x)+668/3025*_
--     (2+3*x)^(5/2)*sqrt(1-2*x)*sqrt(3+5*x)-87476/378125*_
--     sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 212
--S 213 of 300
--d0:=t0-D(r0,x)
--E 213
)clear all
--S 214 of 300
t0:=(2+3*x)^(7/2)/((3+5*x)^(5/2)*sqrt(1-2*x))
--R
--R
--R              3      2            +------+
--R          (27x  + 54x  + 36x + 8)\|3x + 2
--R   (1)  ------------------------------------
--R            2            +--------+ +------+
--R        (25x  + 30x + 9)\|- 2x + 1 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 214
--S 215 of 300
--r0:=-46159/45375*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*_
--     sqrt(7/5)+3409/45375*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/_
--     sqrt(33)-2/33*(2+3*x)^(7/2)*sqrt(1-2*x)/(3+5*x)^(3/2)-_

--     94/363*(2+3*x)^(5/2)*sqrt(1-2*x)/sqrt(3+5*x)+536/3025*_
--     (2+3*x)^(3/2)*sqrt(1-2*x)*sqrt(3+5*x)-487/15125*sqrt(1-2*x)*_
--     sqrt(2+3*x)*sqrt(3+5*x)
--E 215
--S 216 of 300
--d0:=t0-D(r0,x)
--E 216
)clear all
--S 217 of 300
t0:=(2+3*x)^(5/2)/((3+5*x)^(5/2)*sqrt(1-2*x))
--R
--R
--R                 2            +------+
--R              (9x  + 12x + 4)\|3x + 2
--R   (1)  ------------------------------------
--R            2            +--------+ +------+
--R        (25x  + 30x + 9)\|- 2x + 1 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 217
--S 218 of 300
--r0:=-2797/9075*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)-_
--     2828/9075*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     2/33*(2+3*x)^(5/2)*sqrt(1-2*x)/(3+5*x)^(3/2)-338/1815*(2+3*x)^(3/2)*_
--     sqrt(1-2*x)/sqrt(3+5*x)+404/3025*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 218
--S 219 of 300
--d0:=t0-D(r0,x)
--E 219
)clear all
--S 220 of 300
t0:=(2+3*x)^(3/2)/((3+5*x)^(5/2)*sqrt(1-2*x))
--R
--R
--R                           +------+
--R                  (3x + 2)\|3x + 2
--R   (1)  ------------------------------------
--R            2            +--------+ +------+
--R        (25x  + 30x + 9)\|- 2x + 1 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 220
--S 221 of 300
--r0:=272/1815*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)-_

--     1442/1815*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     2/33*(2+3*x)^(3/2)*sqrt(1-2*x)/(3+5*x)^(3/2)-206/1815*sqrt(1-2*x)*_
--     sqrt(2+3*x)/sqrt(3+5*x)
--E 221
--S 222 of 300
--d0:=t0-D(r0,x)
--E 222
)clear all
--S 223 of 300
t0:=sqrt(2+3*x)/((3+5*x)^(5/2)*sqrt(1-2*x))
--R
--R
--R                       +------+
--R                      \|3x + 2
--R   (1)  ------------------------------------
--R            2            +--------+ +------+
--R        (25x  + 30x + 9)\|- 2x + 1 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 223
--S 224 of 300
--r0:=74/363*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)-_
--     56/363*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     2/33*sqrt(1-2*x)*sqrt(2+3*x)/(3+5*x)^(3/2)-74/363*sqrt(1-2*x)*_
--     sqrt(2+3*x)/sqrt(3+5*x)
--E 224
--S 225 of 300
--d0:=t0-D(r0,x)
--E 225
)clear all
--S 226 of 300
t0:=1/((3+5*x)^(5/2)*sqrt(1-2*x)*sqrt(2+3*x))
--R
--R
--R                              1
--R   (1)  ---------------------------------------------
--R            2            +--------+ +------+ +------+
--R        (25x  + 30x + 9)\|- 2x + 1 \|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 226
--S 227 of 300
--r0:=116/363*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     124/363*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(35)-_

--     10/33*sqrt(1-2*x)*sqrt(2+3*x)/(3+5*x)^(3/2)+620/363*_
--     sqrt(1-2*x)*sqrt(2+3*x)/sqrt(3+5*x)
--E 227
--S 228 of 300
--d0:=t0-D(r0,x)
--E 228
)clear all
--S 229 of 300
t0:=1/((2+3*x)^(3/2)*(3+5*x)^(5/2)*sqrt(1-2*x))
--R
--R
--R                                   1
--R   (1)  ------------------------------------------------------
--R            3       2             +--------+ +------+ +------+
--R        (75x  + 140x  + 87x + 18)\|- 2x + 1 \|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 229
--S 230 of 300
--r0:=-17804/363*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)+_
--     2560/363*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     6/7*sqrt(1-2*x)/((3+5*x)^(3/2)*sqrt(2+3*x))-1340/231*sqrt(1-2*x)*_
--     sqrt(2+3*x)/(3+5*x)^(3/2)+89020/2541*sqrt(1-2*x)*sqrt(2+3*x)/sqrt(3+5*x)
--E 230
--S 231 of 300
--d0:=t0-D(r0,x)
--E 231
)clear all
--S 232 of 300
t0:=1/((2+3*x)^(5/2)*(3+5*x)^(5/2)*sqrt(1-2*x))
--R
--R
--R                                        1
--R   (1)  ----------------------------------------------------------------
--R             4       3       2              +--------+ +------+ +------+
--R        (225x  + 570x  + 541x  + 228x + 36)\|- 2x + 1 \|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 232
--S 233 of 300
--r0:=-1255552/2541*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*_
--     sqrt(5/7)+180680/2541*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/_
--     sqrt(33)+2/7*sqrt(1-2*x)/((2+3*x)^(3/2)*(3+5*x)^(3/2))+_
--     428/49*sqrt(1-2*x)/((3+5*x)^(3/2)*sqrt(2+3*x))-_

--     94420/1617*sqrt(1-2*x)*sqrt(2+3*x)/(3+5*x)^(3/2)+_
--     6277760/17787*sqrt(1-2*x)*sqrt(2+3*x)/sqrt(3+5*x)
--E 233
--S 234 of 300
--d0:=t0-D(r0,x)
--E 234
)clear all
--S 235 of 300
t0:=1/((2+3*x)^(7/2)*(3+5*x)^(5/2)*sqrt(1-2*x))
--R
--R
--R   (1)
--R                                        1
--R   ---------------------------------------------------------------------------
--R        5        4        3        2              +--------+ +------+ +------+
--R   (675x  + 2160x  + 2763x  + 1766x  + 564x + 72)\|- 2x + 1 \|3x + 2 \|5x + 3
--R                                                    Type: Expression(Integer)
--E 235
--S 236 of 300
--r0:=10156288/17787*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     352875016/17787*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/_
--     sqrt(35)+6/35*sqrt(1-2*x)/((2+3*x)^(5/2)*(3+5*x)^(3/2))+_
--     576/245*sqrt(1-2*x)/((2+3*x)^(3/2)*(3+5*x)^(3/2))+_
--     120324/1715*sqrt(1-2*x)/((3+5*x)^(3/2)*sqrt(2+3*x))-_
--     5307272/11319*sqrt(1-2*x)*sqrt(2+3*x)/(3+5*x)^(3/2)+_
--     352875016/124509*sqrt(1-2*x)*sqrt(2+3*x)/sqrt(3+5*x)
--E 236
--S 237 of 300
--d0:=t0-D(r0,x)
--E 237
)clear all
--S 238 of 300
t0:=(2+3*x)^(7/2)*sqrt(3+5*x)/(1-2*x)^(3/2)
--R
--R
--R              3      2            +------+ +------+
--R        (- 27x  - 54x  - 36x - 8)\|3x + 2 \|5x + 3
--R   (1)  -------------------------------------------
--R                             +--------+
--R                    (2x - 1)\|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 238

--S 239 of 300
--r0:=-2663/375*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)*sqrt(11/3)+_
--     4071079/1500*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)+_
--     (2+3*x)^(7/2)*sqrt(3+5*x)/sqrt(1-2*x)+2517/350*(2+3*x)^(3/2)*_
--     sqrt(1-2*x)*sqrt(3+5*x)+12/7*(2+3*x)^(5/2)*sqrt(1-2*x)*sqrt(3+5*x)+_
--     29293/875*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 239
--S 240 of 300
--d0:=t0-D(r0,x)
--E 240
)clear all
--S 241 of 300
t0:=(2+3*x)^(5/2)*sqrt(3+5*x)/(1-2*x)^(3/2)
--R
--R
--R             2            +------+ +------+
--R        (- 9x  - 12x - 4)\|3x + 2 \|5x + 3
--R   (1)  -----------------------------------
--R                         +--------+
--R                (2x - 1)\|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 241
--S 242 of 300
--r0:=7279/75*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)-_
--     2933/150*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     (2+3*x)^(5/2)*sqrt(3+5*x)/sqrt(1-2*x)+9/5*(2+3*x)^(3/2)*sqrt(1-2*x)*_
--     sqrt(3+5*x)+419/50*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 242
--S 243 of 300
--d0:=t0-D(r0,x)
--E 243
)clear all
--S 244 of 300
t0:=(2+3*x)^(3/2)*sqrt(3+5*x)/(1-2*x)^(3/2)
--R
--R
--R                   +------+ +------+
--R        (- 3x - 2)\|3x + 2 \|5x + 3
--R   (1)  ----------------------------
--R                      +--------+
--R             (2x - 1)\|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 244

--S 245 of 300
--r0:=139/6*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)-_
--     14/3*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     (2+3*x)^(3/2)*sqrt(3+5*x)/sqrt(1-2*x)+2*sqrt(1-2*x)*_
--     sqrt(2+3*x)*sqrt(3+5*x)
--E 245
--S 246 of 300
--d0:=t0-D(r0,x)
--E 246
)clear all
--S 247 of 300
t0:=sqrt(2+3*x)*sqrt(3+5*x)/(1-2*x)^(3/2)
--R
--R
--R            +------+ +------+
--R           \|3x + 2 \|5x + 3
--R   (1)  - -------------------
--R                   +--------+
--R          (2x - 1)\|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 247
--S 248 of 300
--r0:=-elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(35)+_
--     sqrt(2+3*x)*sqrt(3+5*x)/sqrt(1-2*x)
--E 248
--S 249 of 300
--d0:=t0-D(r0,x)
--E 249
)clear all
--S 250 of 300
t0:=sqrt(3+5*x)/((1-2*x)^(3/2)*sqrt(2+3*x))
--R
--R
--R                     +------+
--R                    \|5x + 3
--R   (1)  - ----------------------------
--R                   +--------+ +------+
--R          (2x - 1)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 250

--S 251 of 300
--r0:=elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)+_
--     2/7*sqrt(2+3*x)*sqrt(3+5*x)/sqrt(1-2*x)
--E 251
--S 252 of 300
--d0:=t0-D(r0,x)
--E 252
)clear all
--S 253 of 300
t0:=sqrt(3+5*x)/((1-2*x)^(3/2)*(2+3*x)^(3/2))
--R
--R
--R                       +------+
--R                      \|5x + 3
--R   (1)  - ---------------------------------
--R             2          +--------+ +------+
--R          (6x  + x - 2)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 253
--S 254 of 300
--r0:=4/7*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)-_
--     10/7*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2/7*sqrt(3+5*x)/(sqrt(1-2*x)*sqrt(2+3*x))-12/49*sqrt(1-2*x)*_
--     sqrt(3+5*x)/sqrt(2+3*x)
--E 254
--S 255 of 300
--d0:=t0-D(r0,x)
--E 255
)clear all
--S 256 of 300
t0:=sqrt(3+5*x)/((1-2*x)^(3/2)*(2+3*x)^(5/2))
--R
--R
--R                            +------+
--R                           \|5x + 3
--R   (1)  - ------------------------------------------
--R              3      2           +--------+ +------+
--R          (18x  + 15x  - 4x - 4)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 256
--S 257 of 300
--r0:=-38/147*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)-_

--     80/147*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2/7*sqrt(3+5*x)/((2+3*x)^(3/2)*sqrt(1-2*x))-8/49*sqrt(1-2*x)*_
--     sqrt(3+5*x)/(2+3*x)^(3/2)+38/343*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 257
--S 258 of 300
--d0:=t0-D(r0,x)
--E 258
)clear all
--S 259 of 300
t0:=sqrt(3+5*x)/((1-2*x)^(3/2)*(2+3*x)^(7/2))
--R
--R
--R                                +------+
--R                               \|5x + 3
--R   (1)  - --------------------------------------------------
--R              4      3      2            +--------+ +------+
--R          (54x  + 81x  + 18x  - 20x - 8)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 259
--S 260 of 300
--r0:=-52/1029*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     5636/1029*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)+_
--     2/7*sqrt(3+5*x)/((2+3*x)^(5/2)*sqrt(1-2*x))-36/245*sqrt(1-2*x)*_
--     sqrt(3+5*x)/(2+3*x)^(5/2)-26/1715*sqrt(1-2*x)*sqrt(3+5*x)/_
--     (2+3*x)^(3/2)+5636/12005*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 260
--S 261 of 300
--d0:=t0-D(r0,x)
--E 261
)clear all
--S 262 of 300
t0:=(2+3*x)^(7/2)*(3+5*x)^(3/2)/(1-2*x)^(3/2)
--R
--R
--R               4       3       2              +------+ +------+
--R        (- 135x  - 351x  - 342x  - 148x - 24)\|3x + 2 \|5x + 3
--R   (1)  -------------------------------------------------------
--R                                   +--------+
--R                          (2x - 1)\|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 262
--S 263 of 300

--r0:=-6478333/13500*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     112543103/6750*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/_
--     sqrt(35)+(2+3*x)^(7/2)*(3+5*x)^(3/2)/sqrt(1-2*x)+1397/210*_
--     (2+3*x)^(3/2)*(3+5*x)^(3/2)*sqrt(1-2*x)+5/3*(2+3*x)^(5/2)*_
--     (3+5*x)^(3/2)*sqrt(1-2*x)+24358/875*(3+5*x)^(3/2)*sqrt(1-2*x)*_
--     sqrt(2+3*x)+6770629/31500*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 263
--S 264 of 300
--d0:=t0-D(r0,x)
--E 264
)clear all
--S 265 of 300
t0:=(2+3*x)^(5/2)*(3+5*x)^(3/2)/(1-2*x)^(3/2)
--R
--R
--R              3      2             +------+ +------+
--R        (- 45x  - 87x  - 56x - 12)\|3x + 2 \|5x + 3
--R   (1)  --------------------------------------------
--R                              +--------+
--R                     (2x - 1)\|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 265
--S 266 of 300
--r0:=-18551/150*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     1289089/300*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)+_
--     (2+3*x)^(5/2)*(3+5*x)^(3/2)/sqrt(1-2*x)+12/7*(2+3*x)^(3/2)*_
--     (3+5*x)^(3/2)*sqrt(1-2*x)+2511/350*(3+5*x)^(3/2)*sqrt(1-2*x)*_
--     sqrt(2+3*x)+9694/175*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 266
--S 267 of 300
--d0:=t0-D(r0,x)
--E 267
)clear all
--S 268 of 300
t0:=(2+3*x)^(3/2)*(3+5*x)^(3/2)/(1-2*x)^(3/2)
--R
--R
--R              2            +------+ +------+
--R        (- 15x  - 19x - 6)\|3x + 2 \|5x + 3
--R   (1)  ------------------------------------
--R                          +--------+
--R                 (2x - 1)\|- 2x + 1
--R                                                    Type: Expression(Integer)

--E 268
--S 269 of 300
--r0:=4621/30*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)-_
--     931/30*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     (2+3*x)^(3/2)*(3+5*x)^(3/2)/sqrt(1-2*x)+9/5*(3+5*x)^(3/2)*_
--     sqrt(1-2*x)*sqrt(2+3*x)+139/10*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 269
--S 270 of 300
--d0:=t0-D(r0,x)
--E 270
)clear all
--S 271 of 300
t0:=(3+5*x)^(3/2)*sqrt(2+3*x)/(1-2*x)^(3/2)
--R
--R
--R                   +------+ +------+
--R        (- 5x - 3)\|3x + 2 \|5x + 3
--R   (1)  ----------------------------
--R                      +--------+
--R             (2x - 1)\|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 271
--S 272 of 300
--r0:=-67/9*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     133/18*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(35)+_
--     (3+5*x)^(3/2)*sqrt(2+3*x)/sqrt(1-2*x)+10/3*sqrt(1-2*x)*_
--     sqrt(2+3*x)*sqrt(3+5*x)
--E 272
--S 273 of 300
--d0:=t0-D(r0,x)
--E 273
)clear all
--S 274 of 300
t0:=(3+5*x)^(3/2)/((1-2*x)^(3/2)*sqrt(2+3*x))
--R
--R
--R                        +------+
--R             (- 5x - 3)\|5x + 3
--R   (1)  ----------------------------
--R                 +--------+ +------+
--R        (2x - 1)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)

--E 274
--S 275 of 300
--r0:=34/3*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)-_
--     5/3*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2/7*(3+5*x)^(3/2)*sqrt(2+3*x)/sqrt(1-2*x)+5/7*sqrt(1-2*x)*_
--     sqrt(2+3*x)*sqrt(3+5*x)
--E 275
--S 276 of 300
--d0:=t0-D(r0,x)
--E 276
)clear all
--S 277 of 300
t0:=(3+5*x)^(3/2)/((1-2*x)^(3/2)*(2+3*x)^(3/2))
--R
--R
--R                          +------+
--R               (- 5x - 3)\|5x + 3
--R   (1)  ---------------------------------
--R           2          +--------+ +------+
--R        (6x  + x - 2)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 277
--S 278 of 300
--r0:=31/21*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)+_
--     10/21*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2/7*(3+5*x)^(3/2)/(sqrt(1-2*x)*sqrt(2+3*x))+4/49*sqrt(1-2*x)*_
--     sqrt(3+5*x)/sqrt(2+3*x)
--E 278
--S 279 of 300
--d0:=t0-D(r0,x)
--E 279
)clear all
--S 280 of 300
t0:=(3+5*x)^(3/2)/((1-2*x)^(3/2)*(2+3*x)^(5/2))
--R
--R
--R                               +------+
--R                    (- 5x - 3)\|5x + 3
--R   (1)  ------------------------------------------
--R            3      2           +--------+ +------+
--R        (18x  + 15x  - 4x - 4)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)

--E 280
--S 281 of 300
--r0:=458/441*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(5/7)-_
--     970/441*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     2/7*(3+5*x)^(3/2)/((2+3*x)^(3/2)*sqrt(1-2*x))+8/147*sqrt(1-2*x)*_
--     sqrt(3+5*x)/(2+3*x)^(3/2)-458/1029*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 281
--S 282 of 300
--d0:=t0-D(r0,x)
--E 282
)clear all
--S 283 of 300
t0:=(3+5*x)^(3/2)/((1-2*x)^(3/2)*(2+3*x)^(7/2))
--R
--R
--R                                   +------+
--R                        (- 5x - 3)\|5x + 3
--R   (1)  --------------------------------------------------
--R            4      3      2            +--------+ +------+
--R        (54x  + 81x  + 18x  - 20x - 8)\|- 2x + 1 \|3x + 2
--R                                                    Type: Expression(Integer)
--E 283
--S 284 of 300
--r0:=-916/1029*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     338/1029*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)+_
--     2/7*(3+5*x)^(3/2)/((2+3*x)^(5/2)*sqrt(1-2*x))+12/245*sqrt(1-2*x)*_
--     sqrt(3+5*x)/(2+3*x)^(5/2)-458/1715*sqrt(1-2*x)*sqrt(3+5*x)/_
--     (2+3*x)^(3/2)+338/12005*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 284
--S 285 of 300
--d0:=t0-D(r0,x)
--E 285
)clear all
--S 286 of 300
t0:=(3+5*x)^(3/2)/((1-2*x)^(3/2)*(2+3*x)^(9/2))
--R
--R
--R                                        +------+
--R                             (- 5x - 3)\|5x + 3
--R   (1)  -------------------------------------------------------------
--R             5       4       3      2             +--------+ +------+
--R        (162x  + 351x  + 216x  - 24x  - 64x - 16)\|- 2x + 1 \|3x + 2

--S 287 of 300
--r0:=-10876/50421*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)-_
--     189368/50421*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/_
--     sqrt(35)+2/7*(3+5*x)^(3/2)/((2+3*x)^(7/2)*sqrt(1-2*x))+16/343*_
--     sqrt(1-2*x)*sqrt(3+5*x)/(2+3*x)^(7/2)-2818/12005*sqrt(1-2*x)*_
--     sqrt(3+5*x)/(2+3*x)^(5/2)-5438/84035*sqrt(1-2*x)*sqrt(3+5*x)/_
--     (2+3*x)^(3/2)+189368/588245*sqrt(1-2*x)*sqrt(3+5*x)/sqrt(2+3*x)
--E 287
--S 288 of 300
--d0:=t0-D(r0,x)
--E 288
)clear all
--S 289 of 300
t0:=(2+3*x)^(7/2)*(3+5*x)^(5/2)/(1-2*x)^(3/2)
--R
--R
--R               5        4        3        2              +------+ +------+
--R        (- 675x  - 2160x  - 2763x  - 1766x  - 564x - 72)\|3x + 2 \|5x + 3
--R   (1)  ------------------------------------------------------------------
--R                                         +--------+
--R                                (2x - 1)\|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 289
--S 290 of 300
--r0:=-128715331/44550*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/_
--     sqrt(33)+17888580643/178200*elliptic_e(asin(sqrt(5/11)*_
--     sqrt(1-2*x)),33/35)/sqrt(35)+(2+3*x)^(7/2)*(3+5*x)^(5/2)/_
--     sqrt(1-2*x)+419/66*(2+3*x)^(3/2)*(3+5*x)^(5/2)*sqrt(1-2*x)+_
--     18/11*(2+3*x)^(5/2)*(3+5*x)^(5/2)*sqrt(1-2*x)+4066493/23100*_
--     (3+5*x)^(3/2)*sqrt(1-2*x)*sqrt(2+3*x)+9741/385*(3+5*x)^(5/2)*_
--     sqrt(1-2*x)*sqrt(2+3*x)+269045681/207900*sqrt(1-2*x)*_
--     sqrt(2+3*x)*sqrt(3+5*x)
--E 290
--S 291 of 300
--d0:=t0-D(r0,x)
--E 291
)clear all
--S 292 of 300
t0:=(2+3*x)^(5/2)*(3+5*x)^(5/2)/(1-2*x)^(3/2)
--R

--R
--R               4       3       2              +------+ +------+
--R        (- 225x  - 570x  - 541x  - 228x - 36)\|3x + 2 \|5x + 3
--R   (1)  -------------------------------------------------------
--R                                   +--------+
--R                          (2x - 1)\|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 292
--S 293 of 300
--r0:=-1228883/1620*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     42696881/1620*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/_
--     sqrt(35)+(2+3*x)^(5/2)*(3+5*x)^(5/2)/sqrt(1-2*x)+5/3*(2+3*x)^(3/2)*_
--     (3+5*x)^(5/2)*sqrt(1-2*x)+4853/105*(3+5*x)^(3/2)*sqrt(1-2*x)*_
--     sqrt(2+3*x)+93/14*(3+5*x)^(5/2)*sqrt(1-2*x)*sqrt(2+3*x)+_
--     1284329/3780*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 293
--S 294 of 300
--d0:=t0-D(r0,x)
--E 294
)clear all
--S 295 of 300
t0:=(2+3*x)^(3/2)*(3+5*x)^(5/2)/(1-2*x)^(3/2)
--R
--R
--R              3       2             +------+ +------+
--R        (- 75x  - 140x  - 87x - 18)\|3x + 2 \|5x + 3
--R   (1)  ---------------------------------------------
--R                              +--------+
--R                     (2x - 1)\|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 295
--S 296 of 300
--r0:=-1762/9*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     244879/36*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)/sqrt(35)+_
--     (2+3*x)^(3/2)*(3+5*x)^(5/2)/sqrt(1-2*x)+167/14*(3+5*x)^(3/2)*_
--     sqrt(1-2*x)*sqrt(2+3*x)+12/7*(3+5*x)^(5/2)*sqrt(1-2*x)*sqrt(2+3*x)+_
--     3683/42*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 296
--S 297 of 300
--d0:=t0-D(r0,x)
--E 297
)clear all

--S 298 of 300
t0:=(3+5*x)^(5/2)*sqrt(2+3*x)/(1-2*x)^(3/2)
--R
--R
--R              2            +------+ +------+
--R        (- 25x  - 30x - 9)\|3x + 2 \|5x + 3
--R   (1)  ------------------------------------
--R                          +--------+
--R                 (2x - 1)\|- 2x + 1
--R                                                    Type: Expression(Integer)
--E 298
--S 299 of 300
--r0:=6599/27*elliptic_e(asin(sqrt(5/11)*sqrt(1-2*x)),33/35)*sqrt(7/5)-_
--     2659/54*elliptic_f(asin(sqrt(3/7)*sqrt(1-2*x)),35/33)/sqrt(33)+_
--     (3+5*x)^(5/2)*sqrt(2+3*x)/sqrt(1-2*x)+3*(3+5*x)^(3/2)*sqrt(1-2*x)*_
--     sqrt(2+3*x)+397/18*sqrt(1-2*x)*sqrt(2+3*x)*sqrt(3+5*x)
--E 299
--S 300 of 300
--d0:=t0-D(r0,x)
--E 300
)spool
)lisp (bye)

———-

References^{[1] nothing}

55