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
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|---|---|---|---|---|---|
16301
|
What is the integral of
$ 3 \left(29\right) x - 4 \left(63\right) ( \left(26\right) x)^2 \cos ( \left(13\right) x+3 \left(19\right) ) $
|
13**(-3)*(3*x**2*13**3*29 - 16*x*26**2*13*cos(x*13 + 3*19)*63 - 8*26**2*(x**2*13**2 - 2)*sin(x*13 + 3*19)*63)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16302
|
What is the integral of
$ 3 \left(10\right) x - 4 \left(49\right) ( \left(56\right) x)^2 \cos ( \left(71\right) x+3 \left(61\right) ) $
|
71**(-3)*(3*x**2*71**3*10 - 16*x*56**2*71*cos(x*71 + 3*61)*49 - 8*56**2*(x**2*71**2 - 2)*sin(x*71 + 3*61)*49)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16303
|
What is the integral of
$ 3 \left(69\right) x - 4 \left(28\right) ( \left(17\right) x)^2 \cos ( \left(22\right) x+3 \left(23\right) ) $
|
22**(-3)*(3*x**2*22**3*69 - 16*x*17**2*22*cos(x*22 + 3*23)*28 - 8*17**2*(x**2*22**2 - 2)*sin(x*22 + 3*23)*28)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16304
|
What is the integral of
$ 3 \left(37\right) x - 4 \left(99\right) ( \left(89\right) x)^2 \cos ( \left(81\right) x+3 \left(65\right) ) $
|
81**(-3)*(3*x**2*81**3*37 - 16*x*89**2*81*cos(x*81 + 3*65)*99 - 8*89**2*(x**2*81**2 - 2)*sin(x*81 + 3*65)*99)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16305
|
What is the integral of
$ 3 \left(86\right) x - 4 \left(26\right) ( \left(12\right) x)^2 \cos ( \left(45\right) x+3 \left(42\right) ) $
|
45**(-3)*(3*x**2*45**3*86 - 16*x*12**2*45*cos(x*45 + 3*42)*26 - 8*12**2*(x**2*45**2 - 2)*sin(x*45 + 3*42)*26)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16306
|
What is the integral of
$ 3 \left(60\right) x - 4 \left(66\right) ( \left(63\right) x)^2 \cos ( \left(72\right) x+3 \left(69\right) ) $
|
72**(-3)*(3*x**2*72**3*60 - 16*x*63**2*72*cos(x*72 + 3*69)*66 - 8*63**2*(x**2*72**2 - 2)*sin(x*72 + 3*69)*66)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16307
|
What is the integral of
$ 3 \left(66\right) x - 4 \left(64\right) ( \left(48\right) x)^2 \cos ( \left(16\right) x+3 \left(88\right) ) $
|
16**(-3)*(3*x**2*16**3*66 - 16*x*48**2*16*cos(x*16 + 3*88)*64 - 8*48**2*(x**2*16**2 - 2)*sin(x*16 + 3*88)*64)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16308
|
What is the integral of
$ 3 \left(23\right) x - 4 \left(32\right) ( \left(63\right) x)^2 \cos ( \left(51\right) x+3 \left(67\right) ) $
|
51**(-3)*(3*x**2*51**3*23 - 16*x*63**2*51*cos(x*51 + 3*67)*32 - 8*63**2*(x**2*51**2 - 2)*sin(x*51 + 3*67)*32)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16309
|
What is the integral of
$ 3 \left(60\right) x - 4 \left(94\right) ( \left(38\right) x)^2 \cos ( \left(29\right) x+3 \left(58\right) ) $
|
29**(-3)*(3*x**2*29**3*60 - 16*x*38**2*29*cos(x*29 + 3*58)*94 - 8*38**2*(x**2*29**2 - 2)*sin(x*29 + 3*58)*94)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16310
|
What is the integral of
$ 3 \left(94\right) x - 4 \left(52\right) ( \left(93\right) x)^2 \cos ( \left(66\right) x+3 \left(19\right) ) $
|
66**(-3)*(3*x**2*66**3*94 - 16*x*93**2*66*cos(x*66 + 3*19)*52 - 8*93**2*(x**2*66**2 - 2)*sin(x*66 + 3*19)*52)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16311
|
What is the integral of
$ 3 \left(45\right) x - 4 \left(39\right) ( \left(56\right) x)^2 \cos ( \left(40\right) x+3 \left(88\right) ) $
|
40**(-3)*(3*x**2*40**3*45 - 16*x*56**2*40*cos(x*40 + 3*88)*39 - 8*56**2*(x**2*40**2 - 2)*sin(x*40 + 3*88)*39)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16312
|
What is the integral of
$ 3 \left(56\right) x - 4 \left(79\right) ( \left(88\right) x)^2 \cos ( \left(66\right) x+3 \left(53\right) ) $
|
66**(-3)*(3*x**2*66**3*56 - 16*x*88**2*66*cos(x*66 + 3*53)*79 - 8*88**2*(x**2*66**2 - 2)*sin(x*66 + 3*53)*79)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16313
|
What is the integral of
$ 3 \left(45\right) x - 4 \left(99\right) ( \left(79\right) x)^2 \cos ( \left(78\right) x+3 \left(73\right) ) $
|
78**(-3)*(3*x**2*78**3*45 - 16*x*79**2*78*cos(x*78 + 3*73)*99 - 8*79**2*(x**2*78**2 - 2)*sin(x*78 + 3*73)*99)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16314
|
What is the integral of
$ 3 \left(45\right) x - 4 \left(76\right) ( \left(75\right) x)^2 \cos ( \left(67\right) x+3 \left(71\right) ) $
|
67**(-3)*(3*x**2*67**3*45 - 16*x*75**2*67*cos(x*67 + 3*71)*76 - 8*75**2*(x**2*67**2 - 2)*sin(x*67 + 3*71)*76)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16315
|
What is the integral of
$ 3 \left(33\right) x - 4 \left(20\right) ( \left(38\right) x)^2 \cos ( \left(46\right) x+3 \left(86\right) ) $
|
46**(-3)*(3*x**2*46**3*33 - 16*x*38**2*46*cos(x*46 + 3*86)*20 - 8*38**2*(x**2*46**2 - 2)*sin(x*46 + 3*86)*20)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16316
|
What is the integral of
$ 3 \left(80\right) x - 4 \left(61\right) ( \left(26\right) x)^2 \cos ( \left(77\right) x+3 \left(90\right) ) $
|
77**(-3)*(3*x**2*77**3*80 - 16*x*26**2*77*cos(x*77 + 3*90)*61 - 8*26**2*(x**2*77**2 - 2)*sin(x*77 + 3*90)*61)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16317
|
What is the integral of
$ 3 \left(20\right) x - 4 \left(61\right) ( \left(79\right) x)^2 \cos ( \left(93\right) x+3 \left(79\right) ) $
|
93**(-3)*(3*x**2*93**3*20 - 16*x*79**2*93*cos(x*93 + 3*79)*61 - 8*79**2*(x**2*93**2 - 2)*sin(x*93 + 3*79)*61)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16318
|
What is the integral of
$ 3 \left(41\right) x - 4 \left(42\right) ( \left(49\right) x)^2 \cos ( \left(81\right) x+3 \left(33\right) ) $
|
81**(-3)*(3*x**2*81**3*41 - 16*x*49**2*81*cos(x*81 + 3*33)*42 - 8*49**2*(x**2*81**2 - 2)*sin(x*81 + 3*33)*42)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16319
|
What is the integral of
$ 3 \left(33\right) x - 4 \left(72\right) ( \left(63\right) x)^2 \cos ( \left(61\right) x+3 \left(24\right) ) $
|
61**(-3)*(3*x**2*61**3*33 - 16*x*63**2*61*cos(x*61 + 3*24)*72 - 8*63**2*(x**2*61**2 - 2)*sin(x*61 + 3*24)*72)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16320
|
What is the integral of
$ 3 \left(53\right) x - 4 \left(34\right) ( \left(94\right) x)^2 \cos ( \left(78\right) x+3 \left(86\right) ) $
|
78**(-3)*(3*x**2*78**3*53 - 16*x*94**2*78*cos(x*78 + 3*86)*34 - 8*94**2*(x**2*78**2 - 2)*sin(x*78 + 3*86)*34)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16321
|
What is the integral of
$ 3 \left(45\right) x - 4 \left(62\right) ( \left(95\right) x)^2 \cos ( \left(98\right) x+3 \left(52\right) ) $
|
98**(-3)*(3*x**2*98**3*45 - 16*x*95**2*98*cos(x*98 + 3*52)*62 - 8*95**2*(x**2*98**2 - 2)*sin(x*98 + 3*52)*62)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16322
|
What is the integral of
$ 3 \left(45\right) x - 4 \left(53\right) ( \left(64\right) x)^2 \cos ( \left(65\right) x+3 \left(65\right) ) $
|
65**(-3)*(3*x**2*65**3*45 - 16*x*64**2*65*cos(x*65 + 3*65)*53 - 8*64**2*(x**2*65**2 - 2)*sin(x*65 + 3*65)*53)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16323
|
What is the integral of
$ 3 \left(20\right) x - 4 \left(30\right) ( \left(31\right) x)^2 \cos ( \left(72\right) x+3 \left(76\right) ) $
|
72**(-3)*(3*x**2*72**3*20 - 16*x*31**2*72*cos(x*72 + 3*76)*30 - 8*31**2*(x**2*72**2 - 2)*sin(x*72 + 3*76)*30)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16324
|
What is the integral of
$ 3 \left(71\right) x - 4 \left(86\right) ( \left(10\right) x)^2 \cos ( \left(36\right) x+3 \left(42\right) ) $
|
36**(-3)*(3*x**2*36**3*71 - 16*x*10**2*36*cos(x*36 + 3*42)*86 - 8*10**2*(x**2*36**2 - 2)*sin(x*36 + 3*42)*86)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16325
|
What is the integral of
$ 3 \left(59\right) x - 4 \left(26\right) ( \left(33\right) x)^2 \cos ( \left(44\right) x+3 \left(71\right) ) $
|
44**(-3)*(3*x**2*44**3*59 - 16*x*33**2*44*cos(x*44 + 3*71)*26 - 8*33**2*(x**2*44**2 - 2)*sin(x*44 + 3*71)*26)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16326
|
What is the integral of
$ 3 \left(52\right) x - 4 \left(42\right) ( \left(33\right) x)^2 \cos ( \left(94\right) x+3 \left(31\right) ) $
|
94**(-3)*(3*x**2*94**3*52 - 16*x*33**2*94*cos(x*94 + 3*31)*42 - 8*33**2*(x**2*94**2 - 2)*sin(x*94 + 3*31)*42)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16327
|
What is the integral of
$ 3 \left(84\right) x - 4 \left(62\right) ( \left(81\right) x)^2 \cos ( \left(27\right) x+3 \left(82\right) ) $
|
27**(-3)*(3*x**2*27**3*84 - 16*x*81**2*27*cos(x*27 + 3*82)*62 - 8*81**2*(x**2*27**2 - 2)*sin(x*27 + 3*82)*62)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16328
|
What is the integral of
$ 3 \left(86\right) x - 4 \left(80\right) ( \left(85\right) x)^2 \cos ( \left(25\right) x+3 \left(74\right) ) $
|
25**(-3)*(3*x**2*25**3*86 - 16*x*85**2*25*cos(x*25 + 3*74)*80 - 8*85**2*(x**2*25**2 - 2)*sin(x*25 + 3*74)*80)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16329
|
What is the integral of
$ 3 \left(59\right) x - 4 \left(85\right) ( \left(65\right) x)^2 \cos ( \left(13\right) x+3 \left(92\right) ) $
|
13**(-3)*(3*x**2*13**3*59 - 16*x*65**2*13*cos(x*13 + 3*92)*85 - 8*65**2*(x**2*13**2 - 2)*sin(x*13 + 3*92)*85)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16330
|
What is the integral of
$ 3 \left(74\right) x - 4 \left(60\right) ( \left(65\right) x)^2 \cos ( \left(87\right) x+3 \left(95\right) ) $
|
87**(-3)*(3*x**2*87**3*74 - 16*x*65**2*87*cos(x*87 + 3*95)*60 - 8*65**2*(x**2*87**2 - 2)*sin(x*87 + 3*95)*60)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16331
|
What is the integral of
$ 3 \left(97\right) x - 4 \left(50\right) ( \left(75\right) x)^2 \cos ( \left(13\right) x+3 \left(56\right) ) $
|
13**(-3)*(3*x**2*13**3*97 - 16*x*75**2*13*cos(x*13 + 3*56)*50 - 8*75**2*(x**2*13**2 - 2)*sin(x*13 + 3*56)*50)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16332
|
What is the integral of
$ 3 \left(27\right) x - 4 \left(86\right) ( \left(11\right) x)^2 \cos ( \left(65\right) x+3 \left(48\right) ) $
|
65**(-3)*(3*x**2*65**3*27 - 16*x*11**2*65*cos(x*65 + 3*48)*86 - 8*11**2*(x**2*65**2 - 2)*sin(x*65 + 3*48)*86)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16333
|
What is the integral of
$ 3 \left(67\right) x - 4 \left(76\right) ( \left(25\right) x)^2 \cos ( \left(69\right) x+3 \left(97\right) ) $
|
69**(-3)*(3*x**2*69**3*67 - 16*x*25**2*69*cos(x*69 + 3*97)*76 - 8*25**2*(x**2*69**2 - 2)*sin(x*69 + 3*97)*76)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16334
|
What is the integral of
$ 3 \left(16\right) x - 4 \left(10\right) ( \left(97\right) x)^2 \cos ( \left(38\right) x+3 \left(86\right) ) $
|
38**(-3)*(3*x**2*38**3*16 - 16*x*97**2*38*cos(x*38 + 3*86)*10 - 8*97**2*(x**2*38**2 - 2)*sin(x*38 + 3*86)*10)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16335
|
What is the integral of
$ 3 \left(80\right) x - 4 \left(62\right) ( \left(94\right) x)^2 \cos ( \left(92\right) x+3 \left(66\right) ) $
|
92**(-3)*(3*x**2*92**3*80 - 16*x*94**2*92*cos(x*92 + 3*66)*62 - 8*94**2*(x**2*92**2 - 2)*sin(x*92 + 3*66)*62)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16336
|
What is the integral of
$ 3 \left(90\right) x - 4 \left(46\right) ( \left(67\right) x)^2 \cos ( \left(75\right) x+3 \left(50\right) ) $
|
75**(-3)*(3*x**2*75**3*90 - 16*x*67**2*75*cos(x*75 + 3*50)*46 - 8*67**2*(x**2*75**2 - 2)*sin(x*75 + 3*50)*46)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16337
|
What is the integral of
$ 3 \left(21\right) x - 4 \left(37\right) ( \left(76\right) x)^2 \cos ( \left(22\right) x+3 \left(93\right) ) $
|
22**(-3)*(3*x**2*22**3*21 - 16*x*76**2*22*cos(x*22 + 3*93)*37 - 8*76**2*(x**2*22**2 - 2)*sin(x*22 + 3*93)*37)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16338
|
What is the integral of
$ 3 \left(57\right) x - 4 \left(57\right) ( \left(24\right) x)^2 \cos ( \left(83\right) x+3 \left(57\right) ) $
|
83**(-3)*(3*x**2*83**3*57 - 16*x*24**2*83*cos(x*83 + 3*57)*57 - 8*24**2*(x**2*83**2 - 2)*sin(x*83 + 3*57)*57)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16339
|
What is the integral of
$ 3 \left(12\right) x - 4 \left(25\right) ( \left(77\right) x)^2 \cos ( \left(17\right) x+3 \left(30\right) ) $
|
17**(-3)*(3*x**2*17**3*12 - 16*x*77**2*17*cos(x*17 + 3*30)*25 - 8*77**2*(x**2*17**2 - 2)*sin(x*17 + 3*30)*25)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16340
|
What is the integral of
$ 3 \left(78\right) x - 4 \left(82\right) ( \left(97\right) x)^2 \cos ( \left(53\right) x+3 \left(38\right) ) $
|
53**(-3)*(3*x**2*53**3*78 - 16*x*97**2*53*cos(x*53 + 3*38)*82 - 8*97**2*(x**2*53**2 - 2)*sin(x*53 + 3*38)*82)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16341
|
What is the integral of
$ 3 \left(81\right) x - 4 \left(52\right) ( \left(93\right) x)^2 \cos ( \left(39\right) x+3 \left(10\right) ) $
|
39**(-3)*(3*x**2*39**3*81 - 16*x*93**2*39*cos(x*39 + 3*10)*52 - 8*93**2*(x**2*39**2 - 2)*sin(x*39 + 3*10)*52)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16342
|
What is the integral of
$ 3 \left(70\right) x - 4 \left(55\right) ( \left(45\right) x)^2 \cos ( \left(37\right) x+3 \left(57\right) ) $
|
37**(-3)*(3*x**2*37**3*70 - 16*x*45**2*37*cos(x*37 + 3*57)*55 - 8*45**2*(x**2*37**2 - 2)*sin(x*37 + 3*57)*55)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16343
|
What is the integral of
$ 3 \left(52\right) x - 4 \left(56\right) ( \left(36\right) x)^2 \cos ( \left(47\right) x+3 \left(84\right) ) $
|
47**(-3)*(3*x**2*47**3*52 - 16*x*36**2*47*cos(x*47 + 3*84)*56 - 8*36**2*(x**2*47**2 - 2)*sin(x*47 + 3*84)*56)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16344
|
What is the integral of
$ 3 \left(10\right) x - 4 \left(27\right) ( \left(43\right) x)^2 \cos ( \left(18\right) x+3 \left(93\right) ) $
|
18**(-3)*(3*x**2*18**3*10 - 16*x*43**2*18*cos(x*18 + 3*93)*27 - 8*43**2*(x**2*18**2 - 2)*sin(x*18 + 3*93)*27)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16345
|
What is the integral of
$ 3 \left(78\right) x - 4 \left(39\right) ( \left(55\right) x)^2 \cos ( \left(35\right) x+3 \left(27\right) ) $
|
35**(-3)*(3*x**2*35**3*78 - 16*x*55**2*35*cos(x*35 + 3*27)*39 - 8*55**2*(x**2*35**2 - 2)*sin(x*35 + 3*27)*39)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16346
|
What is the integral of
$ 3 \left(16\right) x - 4 \left(77\right) ( \left(40\right) x)^2 \cos ( \left(83\right) x+3 \left(57\right) ) $
|
83**(-3)*(3*x**2*83**3*16 - 16*x*40**2*83*cos(x*83 + 3*57)*77 - 8*40**2*(x**2*83**2 - 2)*sin(x*83 + 3*57)*77)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16347
|
What is the integral of
$ 3 \left(98\right) x - 4 \left(54\right) ( \left(14\right) x)^2 \cos ( \left(36\right) x+3 \left(35\right) ) $
|
36**(-3)*(3*x**2*36**3*98 - 16*x*14**2*36*cos(x*36 + 3*35)*54 - 8*14**2*(x**2*36**2 - 2)*sin(x*36 + 3*35)*54)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16348
|
What is the integral of
$ 3 \left(50\right) x - 4 \left(25\right) ( \left(18\right) x)^2 \cos ( \left(18\right) x+3 \left(61\right) ) $
|
18**(-3)*(3*x**2*18**3*50 - 16*x*18**3*cos(x*18 + 3*61)*25 - 8*18**2*(x**2*18**2 - 2)*sin(x*18 + 3*61)*25)/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q18
|
|
16349
|
What is the integral of
$ \left(55\right) \tan ^{-1}( \left(35\right) x)+ \left(95\right) \log ( \left(19\right) \tanh (3 \left(63\right) ))-3 $
|
x*(-3 + log(tanh(3*63)*19)*95) + x*atan(x*35)*55 - 35**(-1)*log(x**2*35**2 + 1)*55/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16350
|
What is the integral of
$ \left(91\right) \tan ^{-1}( \left(75\right) x)+ \left(25\right) \log ( \left(79\right) \tanh (3 \left(14\right) ))-3 $
|
x*(-3 + log(tanh(3*14)*79)*25) + x*atan(x*75)*91 - 75**(-1)*log(x**2*75**2 + 1)*91/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16351
|
What is the integral of
$ \left(95\right) \tan ^{-1}( \left(74\right) x)+ \left(53\right) \log ( \left(35\right) \tanh (3 \left(97\right) ))-3 $
|
x*(-3 + log(tanh(3*97)*35)*53) + x*atan(x*74)*95 - 74**(-1)*log(x**2*74**2 + 1)*95/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16352
|
What is the integral of
$ \left(12\right) \tan ^{-1}( \left(43\right) x)+ \left(78\right) \log ( \left(97\right) \tanh (3 \left(44\right) ))-3 $
|
x*(-3 + log(tanh(3*44)*97)*78) + x*atan(x*43)*12 - 43**(-1)*log(x**2*43**2 + 1)*12/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16353
|
What is the integral of
$ \left(59\right) \tan ^{-1}( \left(84\right) x)+ \left(24\right) \log ( \left(57\right) \tanh (3 \left(58\right) ))-3 $
|
x*(-3 + log(tanh(3*58)*57)*24) + x*atan(x*84)*59 - 84**(-1)*log(x**2*84**2 + 1)*59/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16354
|
What is the integral of
$ \left(23\right) \tan ^{-1}( \left(12\right) x)+ \left(53\right) \log ( \left(90\right) \tanh (3 \left(78\right) ))-3 $
|
x*(-3 + log(tanh(3*78)*90)*53) + x*atan(x*12)*23 - 12**(-1)*log(x**2*12**2 + 1)*23/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16355
|
What is the integral of
$ \left(37\right) \tan ^{-1}( \left(22\right) x)+ \left(55\right) \log ( \left(49\right) \tanh (3 \left(76\right) ))-3 $
|
x*(-3 + log(tanh(3*76)*49)*55) + x*atan(x*22)*37 - 22**(-1)*log(x**2*22**2 + 1)*37/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16356
|
What is the integral of
$ \left(73\right) \tan ^{-1}( \left(99\right) x)+ \left(27\right) \log ( \left(70\right) \tanh (3 \left(50\right) ))-3 $
|
x*(-3 + log(tanh(3*50)*70)*27) + x*atan(x*99)*73 - 99**(-1)*log(x**2*99**2 + 1)*73/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16357
|
What is the integral of
$ \left(21\right) \tan ^{-1}( \left(33\right) x)+ \left(51\right) \log ( \left(68\right) \tanh (3 \left(44\right) ))-3 $
|
x*(-3 + log(tanh(3*44)*68)*51) + x*atan(x*33)*21 - 33**(-1)*log(x**2*33**2 + 1)*21/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16358
|
What is the integral of
$ \left(96\right) \tan ^{-1}( \left(75\right) x)+ \left(50\right) \log ( \left(76\right) \tanh (3 \left(25\right) ))-3 $
|
x*(-3 + log(tanh(3*25)*76)*50) + x*atan(x*75)*96 - 75**(-1)*log(x**2*75**2 + 1)*96/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16359
|
What is the integral of
$ \left(30\right) \tan ^{-1}( \left(45\right) x)+ \left(29\right) \log ( \left(76\right) \tanh (3 \left(83\right) ))-3 $
|
x*(-3 + log(tanh(3*83)*76)*29) + x*atan(x*45)*30 - 45**(-1)*log(x**2*45**2 + 1)*30/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16360
|
What is the integral of
$ \left(33\right) \tan ^{-1}( \left(93\right) x)+ \left(74\right) \log ( \left(98\right) \tanh (3 \left(84\right) ))-3 $
|
x*(-3 + log(tanh(3*84)*98)*74) + x*atan(x*93)*33 - 93**(-1)*log(x**2*93**2 + 1)*33/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16361
|
What is the integral of
$ \left(16\right) \tan ^{-1}( \left(23\right) x)+ \left(80\right) \log ( \left(82\right) \tanh (3 \left(46\right) ))-3 $
|
x*(-3 + log(tanh(3*46)*82)*80) + x*atan(x*23)*16 - 23**(-1)*log(x**2*23**2 + 1)*16/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16362
|
What is the integral of
$ \left(43\right) \tan ^{-1}( \left(48\right) x)+ \left(71\right) \log ( \left(37\right) \tanh (3 \left(27\right) ))-3 $
|
x*(-3 + log(tanh(3*27)*37)*71) + x*atan(x*48)*43 - 48**(-1)*log(x**2*48**2 + 1)*43/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16363
|
What is the integral of
$ \left(86\right) \tan ^{-1}( \left(86\right) x)+ \left(55\right) \log ( \left(97\right) \tanh (3 \left(77\right) ))-3 $
|
x*(-3 + log(tanh(3*77)*97)*55) + x*atan(x*86)*86 - 86**(-1)*log(x**2*86**2 + 1)*86/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16364
|
What is the integral of
$ \left(30\right) \tan ^{-1}( \left(76\right) x)+ \left(24\right) \log ( \left(40\right) \tanh (3 \left(75\right) ))-3 $
|
x*(-3 + log(tanh(3*75)*40)*24) + x*atan(x*76)*30 - 76**(-1)*log(x**2*76**2 + 1)*30/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16365
|
What is the integral of
$ \left(60\right) \tan ^{-1}( \left(41\right) x)+ \left(48\right) \log ( \left(55\right) \tanh (3 \left(70\right) ))-3 $
|
x*(-3 + log(tanh(3*70)*55)*48) + x*atan(x*41)*60 - 41**(-1)*log(x**2*41**2 + 1)*60/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16366
|
What is the integral of
$ \left(96\right) \tan ^{-1}( \left(93\right) x)+ \left(38\right) \log ( \left(10\right) \tanh (3 \left(56\right) ))-3 $
|
x*(-3 + log(tanh(3*56)*10)*38) + x*atan(x*93)*96 - 93**(-1)*log(x**2*93**2 + 1)*96/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16367
|
What is the integral of
$ \left(48\right) \tan ^{-1}( \left(96\right) x)+ \left(86\right) \log ( \left(39\right) \tanh (3 \left(32\right) ))-3 $
|
x*(-3 + log(tanh(3*32)*39)*86) + x*atan(x*96)*48 - 96**(-1)*log(x**2*96**2 + 1)*48/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16368
|
What is the integral of
$ \left(70\right) \tan ^{-1}( \left(71\right) x)+ \left(94\right) \log ( \left(75\right) \tanh (3 \left(79\right) ))-3 $
|
x*(-3 + log(tanh(3*79)*75)*94) + x*atan(x*71)*70 - 71**(-1)*log(x**2*71**2 + 1)*70/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16369
|
What is the integral of
$ \left(48\right) \tan ^{-1}( \left(12\right) x)+ \left(23\right) \log ( \left(82\right) \tanh (3 \left(39\right) ))-3 $
|
x*(-3 + log(tanh(3*39)*82)*23) + x*atan(x*12)*48 - 12**(-1)*log(x**2*12**2 + 1)*48/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16370
|
What is the integral of
$ \left(44\right) \tan ^{-1}( \left(26\right) x)+ \left(82\right) \log ( \left(55\right) \tanh (3 \left(91\right) ))-3 $
|
x*(-3 + log(tanh(3*91)*55)*82) + x*atan(x*26)*44 - 26**(-1)*log(x**2*26**2 + 1)*44/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16371
|
What is the integral of
$ \left(26\right) \tan ^{-1}( \left(45\right) x)+ \left(56\right) \log ( \left(91\right) \tanh (3 \left(72\right) ))-3 $
|
x*(-3 + log(tanh(3*72)*91)*56) + x*atan(x*45)*26 - 45**(-1)*log(x**2*45**2 + 1)*26/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16372
|
What is the integral of
$ \left(10\right) \tan ^{-1}( \left(90\right) x)+ \left(84\right) \log ( \left(65\right) \tanh (3 \left(21\right) ))-3 $
|
x*(-3 + log(tanh(3*21)*65)*84) + x*atan(x*90)*10 - 90**(-1)*log(x**2*90**2 + 1)*10/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16373
|
What is the integral of
$ \left(40\right) \tan ^{-1}( \left(48\right) x)+ \left(84\right) \log ( \left(89\right) \tanh (3 \left(87\right) ))-3 $
|
x*(-3 + log(tanh(3*87)*89)*84) + x*atan(x*48)*40 - 48**(-1)*log(x**2*48**2 + 1)*40/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16374
|
What is the integral of
$ \left(32\right) \tan ^{-1}( \left(38\right) x)+ \left(15\right) \log ( \left(86\right) \tanh (3 \left(64\right) ))-3 $
|
x*(-3 + log(tanh(3*64)*86)*15) + x*atan(x*38)*32 - 38**(-1)*log(x**2*38**2 + 1)*32/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16375
|
What is the integral of
$ \left(56\right) \tan ^{-1}( \left(12\right) x)+ \left(73\right) \log ( \left(58\right) \tanh (3 \left(60\right) ))-3 $
|
x*(-3 + log(tanh(3*60)*58)*73) + x*atan(x*12)*56 - 12**(-1)*log(x**2*12**2 + 1)*56/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16376
|
What is the integral of
$ \left(61\right) \tan ^{-1}( \left(81\right) x)+ \left(63\right) \log ( \left(29\right) \tanh (3 \left(47\right) ))-3 $
|
x*(-3 + log(tanh(3*47)*29)*63) + x*atan(x*81)*61 - 81**(-1)*log(x**2*81**2 + 1)*61/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16377
|
What is the integral of
$ \left(31\right) \tan ^{-1}( \left(50\right) x)+ \left(64\right) \log ( \left(93\right) \tanh (3 \left(41\right) ))-3 $
|
x*(-3 + log(tanh(3*41)*93)*64) + x*atan(x*50)*31 - 50**(-1)*log(x**2*50**2 + 1)*31/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16378
|
What is the integral of
$ \left(12\right) \tan ^{-1}( \left(62\right) x)+ \left(74\right) \log ( \left(69\right) \tanh (3 \left(86\right) ))-3 $
|
x*(-3 + log(tanh(3*86)*69)*74) + x*atan(x*62)*12 - 62**(-1)*log(x**2*62**2 + 1)*12/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16379
|
What is the integral of
$ \left(62\right) \tan ^{-1}( \left(72\right) x)+ \left(65\right) \log ( \left(97\right) \tanh (3 \left(99\right) ))-3 $
|
x*(-3 + log(tanh(3*99)*97)*65) + x*atan(x*72)*62 - 72**(-1)*log(x**2*72**2 + 1)*62/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16380
|
What is the integral of
$ \left(59\right) \tan ^{-1}( \left(23\right) x)+ \left(96\right) \log ( \left(47\right) \tanh (3 \left(87\right) ))-3 $
|
x*(-3 + log(tanh(3*87)*47)*96) + x*atan(x*23)*59 - 23**(-1)*log(x**2*23**2 + 1)*59/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16381
|
What is the integral of
$ \left(39\right) \tan ^{-1}( \left(39\right) x)+ \left(31\right) \log ( \left(32\right) \tanh (3 \left(74\right) ))-3 $
|
x*(-3 + log(tanh(3*74)*32)*31) + x*atan(x*39)*39 - 39**(-1)*log(x**2*39**2 + 1)*39/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16382
|
What is the integral of
$ \left(28\right) \tan ^{-1}( \left(11\right) x)+ \left(34\right) \log ( \left(86\right) \tanh (3 \left(75\right) ))-3 $
|
x*(-3 + log(tanh(3*75)*86)*34) + x*atan(x*11)*28 - 11**(-1)*log(x**2*11**2 + 1)*28/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16383
|
What is the integral of
$ \left(21\right) \tan ^{-1}( \left(31\right) x)+ \left(31\right) \log ( \left(67\right) \tanh (3 \left(56\right) ))-3 $
|
x*(-3 + log(tanh(3*56)*67)*31) + x*atan(x*31)*21 - 31**(-1)*log(x**2*31**2 + 1)*21/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16384
|
What is the integral of
$ \left(67\right) \tan ^{-1}( \left(27\right) x)+ \left(47\right) \log ( \left(49\right) \tanh (3 \left(21\right) ))-3 $
|
x*(-3 + log(tanh(3*21)*49)*47) + x*atan(x*27)*67 - 27**(-1)*log(x**2*27**2 + 1)*67/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16385
|
What is the integral of
$ \left(76\right) \tan ^{-1}( \left(49\right) x)+ \left(87\right) \log ( \left(69\right) \tanh (3 \left(65\right) ))-3 $
|
x*(-3 + log(tanh(3*65)*69)*87) + x*atan(x*49)*76 - 49**(-1)*log(x**2*49**2 + 1)*76/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16386
|
What is the integral of
$ \left(74\right) \tan ^{-1}( \left(35\right) x)+ \left(91\right) \log ( \left(76\right) \tanh (3 \left(90\right) ))-3 $
|
x*(-3 + log(tanh(3*90)*76)*91) + x*atan(x*35)*74 - 35**(-1)*log(x**2*35**2 + 1)*74/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16387
|
What is the integral of
$ \left(85\right) \tan ^{-1}( \left(34\right) x)+ \left(40\right) \log ( \left(50\right) \tanh (3 \left(16\right) ))-3 $
|
x*(-3 + log(tanh(3*16)*50)*40) + x*atan(x*34)*85 - 34**(-1)*log(x**2*34**2 + 1)*85/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16388
|
What is the integral of
$ \left(45\right) \tan ^{-1}( \left(10\right) x)+ \left(54\right) \log ( \left(23\right) \tanh (3 \left(11\right) ))-3 $
|
x*(-3 + log(tanh(3*11)*23)*54) + x*atan(x*10)*45 - 10**(-1)*log(x**2*10**2 + 1)*45/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16389
|
What is the integral of
$ \left(46\right) \tan ^{-1}( \left(27\right) x)+ \left(88\right) \log ( \left(22\right) \tanh (3 \left(25\right) ))-3 $
|
x*(-3 + log(tanh(3*25)*22)*88) + x*atan(x*27)*46 - 27**(-1)*log(x**2*27**2 + 1)*46/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16390
|
What is the integral of
$ \left(21\right) \tan ^{-1}( \left(80\right) x)+ \left(53\right) \log ( \left(60\right) \tanh (3 \left(91\right) ))-3 $
|
x*(-3 + log(tanh(3*91)*60)*53) + x*atan(x*80)*21 - 80**(-1)*log(x**2*80**2 + 1)*21/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16391
|
What is the integral of
$ \left(18\right) \tan ^{-1}( \left(69\right) x)+ \left(83\right) \log ( \left(86\right) \tanh (3 \left(84\right) ))-3 $
|
x*(-3 + log(tanh(3*84)*86)*83) + x*atan(x*69)*18 - 69**(-1)*log(x**2*69**2 + 1)*18/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16392
|
What is the integral of
$ \left(62\right) \tan ^{-1}( \left(75\right) x)+ \left(72\right) \log ( \left(31\right) \tanh (3 \left(27\right) ))-3 $
|
x*(-3 + log(tanh(3*27)*31)*72) + x*atan(x*75)*62 - 75**(-1)*log(x**2*75**2 + 1)*62/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16393
|
What is the integral of
$ \left(54\right) \tan ^{-1}( \left(89\right) x)+ \left(51\right) \log ( \left(95\right) \tanh (3 \left(39\right) ))-3 $
|
x*(-3 + log(tanh(3*39)*95)*51) + x*atan(x*89)*54 - 89**(-1)*log(x**2*89**2 + 1)*54/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16394
|
What is the integral of
$ \left(66\right) \tan ^{-1}( \left(70\right) x)+ \left(99\right) \log ( \left(50\right) \tanh (3 \left(74\right) ))-3 $
|
x*(-3 + log(tanh(3*74)*50)*99) + x*atan(x*70)*66 - 70**(-1)*log(x**2*70**2 + 1)*66/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16395
|
What is the integral of
$ \left(73\right) \tan ^{-1}( \left(37\right) x)+ \left(27\right) \log ( \left(21\right) \tanh (3 \left(12\right) ))-3 $
|
x*(-3 + log(tanh(3*12)*21)*27) + x*atan(x*37)*73 - 37**(-1)*log(x**2*37**2 + 1)*73/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16396
|
What is the integral of
$ \left(83\right) \tan ^{-1}( \left(28\right) x)+ \left(47\right) \log ( \left(72\right) \tanh (3 \left(82\right) ))-3 $
|
x*(-3 + log(tanh(3*82)*72)*47) + x*atan(x*28)*83 - 28**(-1)*log(x**2*28**2 + 1)*83/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16397
|
What is the integral of
$ \left(98\right) \tan ^{-1}( \left(50\right) x)+ \left(86\right) \log ( \left(92\right) \tanh (3 \left(61\right) ))-3 $
|
x*(-3 + log(tanh(3*61)*92)*86) + x*atan(x*50)*98 - 50**(-1)*log(x**2*50**2 + 1)*98/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16398
|
What is the integral of
$ \left(91\right) \tan ^{-1}( \left(78\right) x)+ \left(66\right) \log ( \left(40\right) \tanh (3 \left(52\right) ))-3 $
|
x*(-3 + log(tanh(3*52)*40)*66) + x*atan(x*78)*91 - 78**(-1)*log(x**2*78**2 + 1)*91/2
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q20
|
|
16399
|
What is the integral of
$ \left(58\right) ( \left(73\right) x+4 \left(91\right) ) (3 \left(73\right) x+4 \left(91\right) ) e^{ \left(38\right) x ( \left(73\right) x+4 \left(91\right) )^2} $
|
e**(x*(x*73 + 4*91)**2*38)*38**(-1)*58
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
|
16400
|
What is the integral of
$ \left(42\right) ( \left(68\right) x+4 \left(97\right) ) (3 \left(68\right) x+4 \left(97\right) ) e^{ \left(71\right) x ( \left(68\right) x+4 \left(97\right) )^2} $
|
e**(x*(x*68 + 4*97)**2*71)*71**(-1)*42
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q22
|
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