Index
stringlengths 1
5
| Challenge
stringlengths 41
1.55k
| Answer in Latex
stringclasses 122
values | Answer in Sympy
stringlengths 1
774
| Variation
stringclasses 31
values | Source
stringclasses 61
values |
|---|---|---|---|---|---|
16701
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(75\right) \log( \left(43\right) (\sin(x))^{1 \left(46\right) }) dx$
|
pi*log(2**(-46)*43)*75
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16702
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(28\right) \log( \left(72\right) (\sin(x))^{1 \left(16\right) }) dx$
|
pi*log(2**(-16)*72)*28
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16703
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(94\right) \log( \left(91\right) (\sin(x))^{1 \left(12\right) }) dx$
|
pi*log(2**(-12)*91)*94
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16704
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(45\right) \log( \left(58\right) (\sin(x))^{1 \left(73\right) }) dx$
|
pi*log(2**(-73)*58)*45
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16705
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(54\right) \log( \left(52\right) (\sin(x))^{1 \left(16\right) }) dx$
|
pi*log(2**(-16)*52)*54
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16706
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(30\right) \log( \left(50\right) (\sin(x))^{1 \left(75\right) }) dx$
|
pi*log(2**(-75)*50)*30
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16707
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(49\right) \log( \left(83\right) (\sin(x))^{1 \left(65\right) }) dx$
|
pi*log(2**(-65)*83)*49
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16708
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(36\right) \log( \left(19\right) (\sin(x))^{1 \left(97\right) }) dx$
|
pi*log(2**(-97)*19)*36
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16709
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(95\right) \log( \left(80\right) (\sin(x))^{1 \left(48\right) }) dx$
|
pi*log(2**(-48)*80)*95
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16710
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(83\right) \log( \left(95\right) (\sin(x))^{1 \left(86\right) }) dx$
|
pi*log(2**(-86)*95)*83
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16711
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(31\right) \log( \left(43\right) (\sin(x))^{1 \left(72\right) }) dx$
|
pi*log(2**(-72)*43)*31
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16712
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(65\right) \log( \left(86\right) (\sin(x))^{1 \left(51\right) }) dx$
|
pi*log(2**(-51)*86)*65
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16713
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(74\right) \log( \left(18\right) (\sin(x))^{1 \left(22\right) }) dx$
|
pi*log(2**(-22)*18)*74
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16714
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(69\right) \log( \left(47\right) (\sin(x))^{1 \left(63\right) }) dx$
|
pi*log(2**(-63)*47)*69
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16715
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(12\right) \log( \left(80\right) (\sin(x))^{1 \left(35\right) }) dx$
|
pi*log(2**(-35)*80)*12
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16716
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(44\right) \log( \left(63\right) (\sin(x))^{1 \left(54\right) }) dx$
|
pi*log(2**(-54)*63)*44
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16717
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(33\right) \log( \left(19\right) (\sin(x))^{1 \left(88\right) }) dx$
|
pi*log(2**(-88)*19)*33
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16718
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(62\right) \log( \left(75\right) (\sin(x))^{1 \left(14\right) }) dx$
|
pi*log(2**(-14)*75)*62
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16719
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(10\right) \log( \left(67\right) (\sin(x))^{1 \left(48\right) }) dx$
|
pi*log(2**(-48)*67)*10
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16720
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(99\right) \log( \left(14\right) (\sin(x))^{1 \left(78\right) }) dx$
|
pi*log(2**(-78)*14)*99
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16721
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(39\right) \log( \left(27\right) (\sin(x))^{1 \left(54\right) }) dx$
|
pi*log(2**(-54)*27)*39
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16722
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(32\right) \log( \left(51\right) (\sin(x))^{1 \left(84\right) }) dx$
|
pi*log(2**(-84)*51)*32
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16723
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(64\right) \log( \left(43\right) (\sin(x))^{1 \left(88\right) }) dx$
|
pi*log(2**(-88)*43)*64
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16724
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(12\right) \log( \left(12\right) (\sin(x))^{1 \left(46\right) }) dx$
|
pi*log(2**(-46)*12)*12
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16725
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(49\right) \log( \left(44\right) (\sin(x))^{1 \left(58\right) }) dx$
|
pi*log(2**(-58)*44)*49
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16726
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(36\right) \log( \left(81\right) (\sin(x))^{1 \left(46\right) }) dx$
|
pi*log(2**(-46)*81)*36
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16727
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(44\right) \log( \left(74\right) (\sin(x))^{1 \left(66\right) }) dx$
|
pi*log(2**(-66)*74)*44
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16728
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(63\right) \log( \left(86\right) (\sin(x))^{1 \left(48\right) }) dx$
|
pi*log(2**(-48)*86)*63
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16729
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(55\right) \log( \left(46\right) (\sin(x))^{1 \left(73\right) }) dx$
|
pi*log(2**(-73)*46)*55
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16730
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(83\right) \log( \left(85\right) (\sin(x))^{1 \left(28\right) }) dx$
|
pi*log(2**(-28)*85)*83
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16731
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(34\right) \log( \left(23\right) (\sin(x))^{1 \left(89\right) }) dx$
|
pi*log(2**(-89)*23)*34
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16732
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(68\right) \log( \left(21\right) (\sin(x))^{1 \left(98\right) }) dx$
|
pi*log(2**(-98)*21)*68
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16733
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(50\right) \log( \left(16\right) (\sin(x))^{1 \left(52\right) }) dx$
|
pi*log(2**(-52)*16)*50
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16734
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(40\right) \log( \left(95\right) (\sin(x))^{1 \left(90\right) }) dx$
|
pi*log(2**(-90)*95)*40
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16735
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(40\right) \log( \left(34\right) (\sin(x))^{1 \left(11\right) }) dx$
|
pi*log(2**(-11)*34)*40
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16736
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(65\right) \log( \left(12\right) (\sin(x))^{1 \left(19\right) }) dx$
|
pi*log(2**(-19)*12)*65
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16737
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(44\right) \log( \left(50\right) (\sin(x))^{1 \left(90\right) }) dx$
|
pi*log(2**(-90)*50)*44
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16738
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(15\right) \log( \left(30\right) (\sin(x))^{1 \left(44\right) }) dx$
|
pi*log(2**(-44)*30)*15
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16739
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(55\right) \log( \left(95\right) (\sin(x))^{1 \left(28\right) }) dx$
|
pi*log(2**(-28)*95)*55
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16740
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(64\right) \log( \left(12\right) (\sin(x))^{1 \left(83\right) }) dx$
|
pi*log(2**(-83)*12)*64
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16741
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(86\right) \log( \left(11\right) (\sin(x))^{1 \left(78\right) }) dx$
|
pi*log(2**(-78)*11)*86
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16742
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(70\right) \log( \left(28\right) (\sin(x))^{1 \left(70\right) }) dx$
|
pi*log(2**(-70)*28)*70
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16743
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(54\right) \log( \left(90\right) (\sin(x))^{1 \left(31\right) }) dx$
|
pi*log(2**(-31)*90)*54
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16744
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(57\right) \log( \left(98\right) (\sin(x))^{1 \left(55\right) }) dx$
|
pi*log(2**(-55)*98)*57
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16745
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(69\right) \log( \left(80\right) (\sin(x))^{1 \left(55\right) }) dx$
|
pi*log(2**(-55)*80)*69
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16746
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(31\right) \log( \left(71\right) (\sin(x))^{1 \left(58\right) }) dx$
|
pi*log(2**(-58)*71)*31
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16747
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(58\right) \log( \left(79\right) (\sin(x))^{1 \left(29\right) }) dx$
|
pi*log(2**(-29)*79)*58
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16748
|
Solve the following integral.
Solve the following integral:
$\int_{0}^{\pi} \left(32\right) \log( \left(80\right) (\sin(x))^{1 \left(58\right) }) dx$
|
pi*log(2**(-58)*80)*32
|
Numeric-All-2-S
|
OBMU 2019 - Q22
|
|
16749
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(46\right) }{ 1 \left(20\right) + (x \left(31\right) )^3 } dx $
|
-31**(-1)*20**(-2/3)*(-2*log(x*31 + 20**(1/3)) + log(x**2*31**2 - x*31*20**(1/3) + 20**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*20**(-1/3)*(-2*x*31 + 20**(1/3))/3))*46/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16750
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(97\right) }{ 1 \left(21\right) + (x \left(32\right) )^3 } dx $
|
-32**(-1)*21**(-2/3)*(-2*log(x*32 + 21**(1/3)) + log(x**2*32**2 - x*32*21**(1/3) + 21**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*21**(-1/3)*(-2*x*32 + 21**(1/3))/3))*97/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16751
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(20\right) }{ 1 \left(13\right) + (x \left(75\right) )^3 } dx $
|
-75**(-1)*13**(-2/3)*(-2*log(x*75 + 13**(1/3)) + log(x**2*75**2 - x*75*13**(1/3) + 13**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*13**(-1/3)*(-2*x*75 + 13**(1/3))/3))*20/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16752
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(35\right) }{ 1 \left(19\right) + (x \left(68\right) )^3 } dx $
|
-68**(-1)*19**(-2/3)*(-2*log(x*68 + 19**(1/3)) + log(x**2*68**2 - x*68*19**(1/3) + 19**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*19**(-1/3)*(-2*x*68 + 19**(1/3))/3))*35/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16753
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(59\right) }{ 1 \left(74\right) + (x \left(71\right) )^3 } dx $
|
-71**(-1)*74**(-2/3)*(-2*log(x*71 + 74**(1/3)) + log(x**2*71**2 - x*71*74**(1/3) + 74**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*74**(-1/3)*(-2*x*71 + 74**(1/3))/3))*59/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16754
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(51\right) }{ 1 \left(24\right) + (x \left(28\right) )^3 } dx $
|
-28**(-1)*24**(-2/3)*(-2*log(x*28 + 24**(1/3)) + log(x**2*28**2 - x*28*24**(1/3) + 24**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*24**(-1/3)*(-2*x*28 + 24**(1/3))/3))*51/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16755
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(89\right) }{ 1 \left(63\right) + (x \left(25\right) )^3 } dx $
|
-25**(-1)*63**(-2/3)*(-2*log(x*25 + 63**(1/3)) + log(x**2*25**2 - x*25*63**(1/3) + 63**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*63**(-1/3)*(-2*x*25 + 63**(1/3))/3))*89/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16756
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(68\right) }{ 1 \left(77\right) + (x \left(92\right) )^3 } dx $
|
-92**(-1)*77**(-2/3)*(-2*log(x*92 + 77**(1/3)) + log(x**2*92**2 - x*92*77**(1/3) + 77**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*77**(-1/3)*(-2*x*92 + 77**(1/3))/3))*68/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16757
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(22\right) }{ 1 \left(20\right) + (x \left(16\right) )^3 } dx $
|
-16**(-1)*20**(-2/3)*(-2*log(x*16 + 20**(1/3)) + log(x**2*16**2 - x*16*20**(1/3) + 20**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*20**(-1/3)*(-2*x*16 + 20**(1/3))/3))*22/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16758
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(41\right) }{ 1 \left(55\right) + (x \left(30\right) )^3 } dx $
|
-30**(-1)*55**(-2/3)*(-2*log(x*30 + 55**(1/3)) + log(x**2*30**2 - x*30*55**(1/3) + 55**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*55**(-1/3)*(-2*x*30 + 55**(1/3))/3))*41/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16759
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(96\right) }{ 1 \left(14\right) + (x \left(95\right) )^3 } dx $
|
-95**(-1)*14**(-2/3)*(-2*log(x*95 + 14**(1/3)) + log(x**2*95**2 - x*95*14**(1/3) + 14**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*14**(-1/3)*(-2*x*95 + 14**(1/3))/3))*96/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16760
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(66\right) }{ 1 \left(12\right) + (x \left(29\right) )^3 } dx $
|
-29**(-1)*12**(-2/3)*(-2*log(x*29 + 12**(1/3)) + log(x**2*29**2 - x*29*12**(1/3) + 12**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*12**(-1/3)*(-2*x*29 + 12**(1/3))/3))*66/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16761
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(37\right) }{ 1 \left(17\right) + (x \left(87\right) )^3 } dx $
|
-87**(-1)*17**(-2/3)*(-2*log(x*87 + 17**(1/3)) + log(x**2*87**2 - x*87*17**(1/3) + 17**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*17**(-1/3)*(-2*x*87 + 17**(1/3))/3))*37/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16762
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(63\right) }{ 1 \left(56\right) + (x \left(89\right) )^3 } dx $
|
-89**(-1)*56**(-2/3)*(-2*log(x*89 + 56**(1/3)) + log(x**2*89**2 - x*89*56**(1/3) + 56**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*56**(-1/3)*(-2*x*89 + 56**(1/3))/3))*63/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16763
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(77\right) }{ 1 \left(75\right) + (x \left(94\right) )^3 } dx $
|
-94**(-1)*75**(-2/3)*(-2*log(x*94 + 75**(1/3)) + log(x**2*94**2 - x*94*75**(1/3) + 75**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*75**(-1/3)*(-2*x*94 + 75**(1/3))/3))*77/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16764
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(97\right) }{ 1 \left(89\right) + (x \left(60\right) )^3 } dx $
|
-60**(-1)*89**(-2/3)*(-2*log(x*60 + 89**(1/3)) + log(x**2*60**2 - x*60*89**(1/3) + 89**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*89**(-1/3)*(-2*x*60 + 89**(1/3))/3))*97/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16765
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(41\right) }{ 1 \left(10\right) + (x \left(49\right) )^3 } dx $
|
-49**(-1)*10**(-2/3)*(-2*log(x*49 + 10**(1/3)) + log(x**2*49**2 - x*49*10**(1/3) + 10**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*10**(-1/3)*(-2*x*49 + 10**(1/3))/3))*41/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16766
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(55\right) }{ 1 \left(22\right) + (x \left(69\right) )^3 } dx $
|
-69**(-1)*22**(-2/3)*(-2*log(x*69 + 22**(1/3)) + log(x**2*69**2 - x*69*22**(1/3) + 22**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*22**(-1/3)*(-2*x*69 + 22**(1/3))/3))*55/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16767
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(90\right) }{ 1 \left(45\right) + (x \left(23\right) )^3 } dx $
|
-23**(-1)*45**(-2/3)*(-2*log(x*23 + 45**(1/3)) + log(x**2*23**2 - x*23*45**(1/3) + 45**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*45**(-1/3)*(-2*x*23 + 45**(1/3))/3))*90/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16768
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(13\right) }{ 1 \left(37\right) + (x \left(64\right) )^3 } dx $
|
-64**(-1)*37**(-2/3)*(-2*log(x*64 + 37**(1/3)) + log(x**2*64**2 - x*64*37**(1/3) + 37**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*37**(-1/3)*(-2*x*64 + 37**(1/3))/3))*13/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16769
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(78\right) }{ 1 \left(77\right) + (x \left(14\right) )^3 } dx $
|
-14**(-1)*77**(-2/3)*(-2*log(x*14 + 77**(1/3)) + log(x**2*14**2 - x*14*77**(1/3) + 77**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*77**(-1/3)*(-2*x*14 + 77**(1/3))/3))*78/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16770
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(37\right) }{ 1 \left(11\right) + (x \left(79\right) )^3 } dx $
|
-79**(-1)*11**(-2/3)*(-2*log(x*79 + 11**(1/3)) + log(x**2*79**2 - x*79*11**(1/3) + 11**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*11**(-1/3)*(-2*x*79 + 11**(1/3))/3))*37/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16771
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(20\right) }{ 1 \left(43\right) + (x \left(44\right) )^3 } dx $
|
-44**(-1)*43**(-2/3)*(-2*log(x*44 + 43**(1/3)) + log(x**2*44**2 - x*44*43**(1/3) + 43**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*43**(-1/3)*(-2*x*44 + 43**(1/3))/3))*20/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16772
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(10\right) }{ 1 \left(18\right) + (x \left(97\right) )^3 } dx $
|
-97**(-1)*18**(-2/3)*(-2*log(x*97 + 18**(1/3)) + log(x**2*97**2 - x*97*18**(1/3) + 18**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*18**(-1/3)*(-2*x*97 + 18**(1/3))/3))*10/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16773
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(23\right) }{ 1 \left(72\right) + (x \left(84\right) )^3 } dx $
|
-84**(-1)*72**(-2/3)*(-2*log(x*84 + 72**(1/3)) + log(x**2*84**2 - x*84*72**(1/3) + 72**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*72**(-1/3)*(-2*x*84 + 72**(1/3))/3))*23/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16774
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(63\right) }{ 1 \left(44\right) + (x \left(95\right) )^3 } dx $
|
-95**(-1)*44**(-2/3)*(-2*log(x*95 + 44**(1/3)) + log(x**2*95**2 - x*95*44**(1/3) + 44**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*44**(-1/3)*(-2*x*95 + 44**(1/3))/3))*63/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16775
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(11\right) }{ 1 \left(26\right) + (x \left(13\right) )^3 } dx $
|
-13**(-1)*26**(-2/3)*(-2*log(x*13 + 26**(1/3)) + log(x**2*13**2 - x*13*26**(1/3) + 26**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*26**(-1/3)*(-2*x*13 + 26**(1/3))/3))*11/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16776
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(26\right) }{ 1 \left(19\right) + (x \left(87\right) )^3 } dx $
|
-87**(-1)*19**(-2/3)*(-2*log(x*87 + 19**(1/3)) + log(x**2*87**2 - x*87*19**(1/3) + 19**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*19**(-1/3)*(-2*x*87 + 19**(1/3))/3))*26/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16777
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(81\right) }{ 1 \left(94\right) + (x \left(84\right) )^3 } dx $
|
-84**(-1)*94**(-2/3)*(-2*log(x*84 + 94**(1/3)) + log(x**2*84**2 - x*84*94**(1/3) + 94**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*94**(-1/3)*(-2*x*84 + 94**(1/3))/3))*81/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16778
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(53\right) }{ 1 \left(96\right) + (x \left(59\right) )^3 } dx $
|
-59**(-1)*96**(-2/3)*(-2*log(x*59 + 96**(1/3)) + log(x**2*59**2 - x*59*96**(1/3) + 96**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*96**(-1/3)*(-2*x*59 + 96**(1/3))/3))*53/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16779
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(81\right) }{ 1 \left(23\right) + (x \left(64\right) )^3 } dx $
|
-64**(-1)*23**(-2/3)*(-2*log(x*64 + 23**(1/3)) + log(x**2*64**2 - x*64*23**(1/3) + 23**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*23**(-1/3)*(-2*x*64 + 23**(1/3))/3))*81/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16780
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(31\right) }{ 1 \left(10\right) + (x \left(53\right) )^3 } dx $
|
-53**(-1)*10**(-2/3)*(-2*log(x*53 + 10**(1/3)) + log(x**2*53**2 - x*53*10**(1/3) + 10**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*10**(-1/3)*(-2*x*53 + 10**(1/3))/3))*31/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16781
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(91\right) }{ 1 \left(36\right) + (x \left(34\right) )^3 } dx $
|
-34**(-1)*36**(-2/3)*(-2*log(x*34 + 36**(1/3)) + log(x**2*34**2 - x*34*36**(1/3) + 36**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*36**(-1/3)*(-2*x*34 + 36**(1/3))/3))*91/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16782
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(76\right) }{ 1 \left(71\right) + (x \left(30\right) )^3 } dx $
|
-30**(-1)*71**(-2/3)*(-2*log(x*30 + 71**(1/3)) + log(x**2*30**2 - x*30*71**(1/3) + 71**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*71**(-1/3)*(-2*x*30 + 71**(1/3))/3))*76/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16783
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(56\right) }{ 1 \left(79\right) + (x \left(50\right) )^3 } dx $
|
-50**(-1)*79**(-2/3)*(-2*log(x*50 + 79**(1/3)) + log(x**2*50**2 - x*50*79**(1/3) + 79**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*79**(-1/3)*(-2*x*50 + 79**(1/3))/3))*56/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16784
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(21\right) }{ 1 \left(33\right) + (x \left(30\right) )^3 } dx $
|
-30**(-1)*33**(-2/3)*(-2*log(x*30 + 33**(1/3)) + log(x**2*30**2 - x*30*33**(1/3) + 33**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*33**(-1/3)*(-2*x*30 + 33**(1/3))/3))*21/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16785
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(84\right) }{ 1 \left(67\right) + (x \left(75\right) )^3 } dx $
|
-75**(-1)*67**(-2/3)*(-2*log(x*75 + 67**(1/3)) + log(x**2*75**2 - x*75*67**(1/3) + 67**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*67**(-1/3)*(-2*x*75 + 67**(1/3))/3))*84/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16786
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(49\right) }{ 1 \left(11\right) + (x \left(73\right) )^3 } dx $
|
-73**(-1)*11**(-2/3)*(-2*log(x*73 + 11**(1/3)) + log(x**2*73**2 - x*73*11**(1/3) + 11**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*11**(-1/3)*(-2*x*73 + 11**(1/3))/3))*49/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16787
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(36\right) }{ 1 \left(59\right) + (x \left(16\right) )^3 } dx $
|
-16**(-1)*59**(-2/3)*(-2*log(x*16 + 59**(1/3)) + log(x**2*16**2 - x*16*59**(1/3) + 59**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*59**(-1/3)*(-2*x*16 + 59**(1/3))/3))*36/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16788
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(49\right) }{ 1 \left(99\right) + (x \left(75\right) )^3 } dx $
|
-75**(-1)*99**(-2/3)*(-2*log(x*75 + 99**(1/3)) + log(x**2*75**2 - x*75*99**(1/3) + 99**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*99**(-1/3)*(-2*x*75 + 99**(1/3))/3))*49/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16789
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(22\right) }{ 1 \left(51\right) + (x \left(54\right) )^3 } dx $
|
-54**(-1)*51**(-2/3)*(-2*log(x*54 + 51**(1/3)) + log(x**2*54**2 - x*54*51**(1/3) + 51**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*51**(-1/3)*(-2*x*54 + 51**(1/3))/3))*22/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16790
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(44\right) }{ 1 \left(30\right) + (x \left(73\right) )^3 } dx $
|
-73**(-1)*30**(-2/3)*(-2*log(x*73 + 30**(1/3)) + log(x**2*73**2 - x*73*30**(1/3) + 30**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*30**(-1/3)*(-2*x*73 + 30**(1/3))/3))*44/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16791
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(29\right) }{ 1 \left(20\right) + (x \left(72\right) )^3 } dx $
|
-72**(-1)*20**(-2/3)*(-2*log(x*72 + 20**(1/3)) + log(x**2*72**2 - x*72*20**(1/3) + 20**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*20**(-1/3)*(-2*x*72 + 20**(1/3))/3))*29/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16792
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(99\right) }{ 1 \left(83\right) + (x \left(38\right) )^3 } dx $
|
-38**(-1)*83**(-2/3)*(-2*log(x*38 + 83**(1/3)) + log(x**2*38**2 - x*38*83**(1/3) + 83**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*83**(-1/3)*(-2*x*38 + 83**(1/3))/3))*99/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16793
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(64\right) }{ 1 \left(98\right) + (x \left(81\right) )^3 } dx $
|
-81**(-1)*98**(-2/3)*(-2*log(x*81 + 98**(1/3)) + log(x**2*81**2 - x*81*98**(1/3) + 98**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*98**(-1/3)*(-2*x*81 + 98**(1/3))/3))*64/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16794
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(47\right) }{ 1 \left(14\right) + (x \left(48\right) )^3 } dx $
|
-48**(-1)*14**(-2/3)*(-2*log(x*48 + 14**(1/3)) + log(x**2*48**2 - x*48*14**(1/3) + 14**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*14**(-1/3)*(-2*x*48 + 14**(1/3))/3))*47/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16795
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(11\right) }{ 1 \left(29\right) + (x \left(41\right) )^3 } dx $
|
-41**(-1)*29**(-2/3)*(-2*log(x*41 + 29**(1/3)) + log(x**2*41**2 - x*41*29**(1/3) + 29**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*29**(-1/3)*(-2*x*41 + 29**(1/3))/3))*11/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16796
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(15\right) }{ 1 \left(84\right) + (x \left(40\right) )^3 } dx $
|
-40**(-1)*84**(-2/3)*(-2*log(x*40 + 84**(1/3)) + log(x**2*40**2 - x*40*84**(1/3) + 84**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*84**(-1/3)*(-2*x*40 + 84**(1/3))/3))*15/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16797
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(22\right) }{ 1 \left(71\right) + (x \left(44\right) )^3 } dx $
|
-44**(-1)*71**(-2/3)*(-2*log(x*44 + 71**(1/3)) + log(x**2*44**2 - x*44*71**(1/3) + 71**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*71**(-1/3)*(-2*x*44 + 71**(1/3))/3))*22/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16798
|
Solve the following integral. Return a closed-form symbolic answer.
$ \int \frac{ 1 \left(57\right) }{ 1 \left(32\right) + (x \left(47\right) )^3 } dx $
|
-47**(-1)*32**(-2/3)*(-2*log(x*47 + 32**(1/3)) + log(x**2*47**2 - x*47*32**(1/3) + 32**(2/3)) + 2*sqrt(3)*atan(sqrt(3)*32**(-1/3)*(-2*x*47 + 32**(1/3))/3))*57/6
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q5
|
|
16799
|
Solve the following integral.
$ \int \frac{(4 \left(92\right) + (4 \left(92\right) - (1 \left(33\right) ))x^{1 \left(33\right) })x^{2 \left(92\right) - 1}}{2 (1 + x^{1 \left(33\right) } + x^{4 \left(92\right) })\sqrt{1 + x^{1 \left(33\right) }}} dx $
|
atan((1 + x**33)**(-1/2)*x**92)
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q6
|
|
16800
|
Solve the following integral.
$ \int \frac{(4 \left(57\right) + (4 \left(57\right) - (1 \left(93\right) ))x^{1 \left(93\right) })x^{2 \left(57\right) - 1}}{2 (1 + x^{1 \left(93\right) } + x^{4 \left(57\right) })\sqrt{1 + x^{1 \left(93\right) }}} dx $
|
atan((1 + x**93)**(-1/2)*x**57)
|
Numeric-All-2-S
|
ASyMOB
Hypergeometrics
Q6
|
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