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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|---|---|---|---|---|---|
16101
|
What is the integral of $12 \left(47\right) +6 \left(24\right) \cosh ( \left(59\right) x)$
|
12*x*47 + 6*59**(-1)*sinh(x*59)*24
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16102
|
What is the integral of $12 \left(68\right) +6 \left(83\right) \cosh ( \left(35\right) x)$
|
12*x*68 + 6*35**(-1)*sinh(x*35)*83
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16103
|
What is the integral of $12 \left(13\right) +6 \left(13\right) \cosh ( \left(28\right) x)$
|
12*x*13 + 6*28**(-1)*sinh(x*28)*13
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16104
|
What is the integral of $12 \left(69\right) +6 \left(18\right) \cosh ( \left(11\right) x)$
|
12*x*69 + 6*11**(-1)*sinh(x*11)*18
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16105
|
What is the integral of $12 \left(66\right) +6 \left(67\right) \cosh ( \left(22\right) x)$
|
12*x*66 + 6*22**(-1)*sinh(x*22)*67
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16106
|
What is the integral of $12 \left(91\right) +6 \left(24\right) \cosh ( \left(84\right) x)$
|
12*x*91 + 6*84**(-1)*sinh(x*84)*24
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16107
|
What is the integral of $12 \left(30\right) +6 \left(75\right) \cosh ( \left(74\right) x)$
|
12*x*30 + 6*74**(-1)*sinh(x*74)*75
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16108
|
What is the integral of $12 \left(41\right) +6 \left(61\right) \cosh ( \left(64\right) x)$
|
12*x*41 + 6*64**(-1)*sinh(x*64)*61
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16109
|
What is the integral of $12 \left(67\right) +6 \left(32\right) \cosh ( \left(57\right) x)$
|
12*x*67 + 6*57**(-1)*sinh(x*57)*32
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16110
|
What is the integral of $12 \left(33\right) +6 \left(93\right) \cosh ( \left(15\right) x)$
|
12*x*33 + 6*15**(-1)*sinh(x*15)*93
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16111
|
What is the integral of $12 \left(81\right) +6 \left(87\right) \cosh ( \left(91\right) x)$
|
12*x*81 + 6*91**(-1)*sinh(x*91)*87
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16112
|
What is the integral of $12 \left(28\right) +6 \left(88\right) \cosh ( \left(69\right) x)$
|
12*x*28 + 6*69**(-1)*sinh(x*69)*88
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16113
|
What is the integral of $12 \left(87\right) +6 \left(77\right) \cosh ( \left(51\right) x)$
|
12*x*87 + 6*51**(-1)*sinh(x*51)*77
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16114
|
What is the integral of $12 \left(27\right) +6 \left(25\right) \cosh ( \left(61\right) x)$
|
12*x*27 + 6*61**(-1)*sinh(x*61)*25
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16115
|
What is the integral of $12 \left(35\right) +6 \left(22\right) \cosh ( \left(82\right) x)$
|
12*x*35 + 6*82**(-1)*sinh(x*82)*22
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16116
|
What is the integral of $12 \left(35\right) +6 \left(84\right) \cosh ( \left(46\right) x)$
|
12*x*35 + 6*46**(-1)*sinh(x*46)*84
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16117
|
What is the integral of $12 \left(38\right) +6 \left(31\right) \cosh ( \left(61\right) x)$
|
12*x*38 + 6*61**(-1)*sinh(x*61)*31
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16118
|
What is the integral of $12 \left(95\right) +6 \left(43\right) \cosh ( \left(68\right) x)$
|
12*x*95 + 6*68**(-1)*sinh(x*68)*43
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16119
|
What is the integral of $12 \left(56\right) +6 \left(43\right) \cosh ( \left(99\right) x)$
|
12*x*56 + 6*99**(-1)*sinh(x*99)*43
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16120
|
What is the integral of $12 \left(26\right) +6 \left(92\right) \cosh ( \left(80\right) x)$
|
12*x*26 + 6*80**(-1)*sinh(x*80)*92
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16121
|
What is the integral of $12 \left(90\right) +6 \left(97\right) \cosh ( \left(85\right) x)$
|
12*x*90 + 6*85**(-1)*sinh(x*85)*97
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16122
|
What is the integral of $12 \left(56\right) +6 \left(24\right) \cosh ( \left(17\right) x)$
|
12*x*56 + 6*17**(-1)*sinh(x*17)*24
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16123
|
What is the integral of $12 \left(96\right) +6 \left(91\right) \cosh ( \left(35\right) x)$
|
12*x*96 + 6*35**(-1)*sinh(x*35)*91
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16124
|
What is the integral of $12 \left(46\right) +6 \left(11\right) \cosh ( \left(86\right) x)$
|
12*x*46 + 6*86**(-1)*sinh(x*86)*11
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16125
|
What is the integral of $12 \left(49\right) +6 \left(96\right) \cosh ( \left(71\right) x)$
|
12*x*49 + 6*71**(-1)*sinh(x*71)*96
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16126
|
What is the integral of $12 \left(34\right) +6 \left(72\right) \cosh ( \left(21\right) x)$
|
12*x*34 + 6*21**(-1)*sinh(x*21)*72
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16127
|
What is the integral of $12 \left(23\right) +6 \left(62\right) \cosh ( \left(83\right) x)$
|
12*x*23 + 6*83**(-1)*sinh(x*83)*62
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16128
|
What is the integral of $12 \left(57\right) +6 \left(47\right) \cosh ( \left(70\right) x)$
|
12*x*57 + 6*70**(-1)*sinh(x*70)*47
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16129
|
What is the integral of $12 \left(47\right) +6 \left(68\right) \cosh ( \left(79\right) x)$
|
12*x*47 + 6*79**(-1)*sinh(x*79)*68
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16130
|
What is the integral of $12 \left(58\right) +6 \left(59\right) \cosh ( \left(84\right) x)$
|
12*x*58 + 6*84**(-1)*sinh(x*84)*59
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16131
|
What is the integral of $12 \left(16\right) +6 \left(35\right) \cosh ( \left(87\right) x)$
|
12*x*16 + 6*87**(-1)*sinh(x*87)*35
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16132
|
What is the integral of $12 \left(91\right) +6 \left(47\right) \cosh ( \left(89\right) x)$
|
12*x*91 + 6*89**(-1)*sinh(x*89)*47
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16133
|
What is the integral of $12 \left(82\right) +6 \left(37\right) \cosh ( \left(78\right) x)$
|
12*x*82 + 6*78**(-1)*sinh(x*78)*37
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16134
|
What is the integral of $12 \left(86\right) +6 \left(56\right) \cosh ( \left(83\right) x)$
|
12*x*86 + 6*83**(-1)*sinh(x*83)*56
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16135
|
What is the integral of $12 \left(67\right) +6 \left(40\right) \cosh ( \left(41\right) x)$
|
12*x*67 + 6*41**(-1)*sinh(x*41)*40
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16136
|
What is the integral of $12 \left(51\right) +6 \left(58\right) \cosh ( \left(80\right) x)$
|
12*x*51 + 6*80**(-1)*sinh(x*80)*58
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16137
|
What is the integral of $12 \left(25\right) +6 \left(32\right) \cosh ( \left(66\right) x)$
|
12*x*25 + 6*66**(-1)*sinh(x*66)*32
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16138
|
What is the integral of $12 \left(24\right) +6 \left(38\right) \cosh ( \left(97\right) x)$
|
12*x*24 + 6*97**(-1)*sinh(x*97)*38
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16139
|
What is the integral of $12 \left(15\right) +6 \left(16\right) \cosh ( \left(13\right) x)$
|
12*x*15 + 6*13**(-1)*sinh(x*13)*16
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16140
|
What is the integral of $12 \left(18\right) +6 \left(85\right) \cosh ( \left(97\right) x)$
|
12*x*18 + 6*97**(-1)*sinh(x*97)*85
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16141
|
What is the integral of $12 \left(57\right) +6 \left(17\right) \cosh ( \left(99\right) x)$
|
12*x*57 + 6*99**(-1)*sinh(x*99)*17
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16142
|
What is the integral of $12 \left(39\right) +6 \left(43\right) \cosh ( \left(19\right) x)$
|
12*x*39 + 6*19**(-1)*sinh(x*19)*43
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16143
|
What is the integral of $12 \left(27\right) +6 \left(44\right) \cosh ( \left(32\right) x)$
|
12*x*27 + 6*32**(-1)*sinh(x*32)*44
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16144
|
What is the integral of $12 \left(67\right) +6 \left(80\right) \cosh ( \left(32\right) x)$
|
12*x*67 + 6*32**(-1)*sinh(x*32)*80
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16145
|
What is the integral of $12 \left(42\right) +6 \left(53\right) \cosh ( \left(91\right) x)$
|
12*x*42 + 6*91**(-1)*sinh(x*91)*53
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16146
|
What is the integral of $12 \left(15\right) +6 \left(82\right) \cosh ( \left(96\right) x)$
|
12*x*15 + 6*96**(-1)*sinh(x*96)*82
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16147
|
What is the integral of $12 \left(39\right) +6 \left(74\right) \cosh ( \left(23\right) x)$
|
12*x*39 + 6*23**(-1)*sinh(x*23)*74
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16148
|
What is the integral of $12 \left(81\right) +6 \left(11\right) \cosh ( \left(96\right) x)$
|
12*x*81 + 6*96**(-1)*sinh(x*96)*11
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q90
|
|
16149
|
What is the integral of
$ 4 ( \left(63\right) x)^{7 \left(22\right) }+ \left(54\right) \sin ((1 \left(92\right) )+ \left(30\right) x) $
|
(1 + 7*22)**(-1)*30**(-1)*(4*x*(x*63)**(7*22)*30 - 54*(1 + 7*22)*cos(x*30 + 92))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16150
|
What is the integral of
$ 4 ( \left(29\right) x)^{7 \left(11\right) }+ \left(93\right) \sin ((1 \left(74\right) )+ \left(49\right) x) $
|
(1 + 7*11)**(-1)*49**(-1)*(4*x*(x*29)**(7*11)*49 - 93*(1 + 7*11)*cos(x*49 + 74))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16151
|
What is the integral of
$ 4 ( \left(55\right) x)^{7 \left(95\right) }+ \left(78\right) \sin ((1 \left(85\right) )+ \left(17\right) x) $
|
(1 + 7*95)**(-1)*17**(-1)*(4*x*(x*55)**(7*95)*17 - 78*(1 + 7*95)*cos(x*17 + 85))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16152
|
What is the integral of
$ 4 ( \left(90\right) x)^{7 \left(96\right) }+ \left(92\right) \sin ((1 \left(77\right) )+ \left(32\right) x) $
|
(1 + 7*96)**(-1)*32**(-1)*(4*x*(x*90)**(7*96)*32 - 92*(1 + 7*96)*cos(x*32 + 77))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16153
|
What is the integral of
$ 4 ( \left(89\right) x)^{7 \left(79\right) }+ \left(66\right) \sin ((1 \left(73\right) )+ \left(37\right) x) $
|
(1 + 7*79)**(-1)*37**(-1)*(4*x*(x*89)**(7*79)*37 - 66*(1 + 7*79)*cos(x*37 + 73))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16154
|
What is the integral of
$ 4 ( \left(32\right) x)^{7 \left(60\right) }+ \left(12\right) \sin ((1 \left(97\right) )+ \left(37\right) x) $
|
(1 + 7*60)**(-1)*37**(-1)*(4*x*(x*32)**(7*60)*37 - 12*(1 + 7*60)*cos(x*37 + 97))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16155
|
What is the integral of
$ 4 ( \left(31\right) x)^{7 \left(34\right) }+ \left(70\right) \sin ((1 \left(37\right) )+ \left(56\right) x) $
|
(1 + 7*34)**(-1)*56**(-1)*(4*x*(x*31)**(7*34)*56 - 70*(1 + 7*34)*cos(x*56 + 37))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16156
|
What is the integral of
$ 4 ( \left(94\right) x)^{7 \left(61\right) }+ \left(31\right) \sin ((1 \left(54\right) )+ \left(73\right) x) $
|
(1 + 7*61)**(-1)*73**(-1)*(4*x*(x*94)**(7*61)*73 - 31*(1 + 7*61)*cos(x*73 + 54))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16157
|
What is the integral of
$ 4 ( \left(12\right) x)^{7 \left(58\right) }+ \left(25\right) \sin ((1 \left(93\right) )+ \left(67\right) x) $
|
(1 + 7*58)**(-1)*67**(-1)*(4*x*(x*12)**(7*58)*67 - 25*(1 + 7*58)*cos(x*67 + 93))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16158
|
What is the integral of
$ 4 ( \left(32\right) x)^{7 \left(60\right) }+ \left(59\right) \sin ((1 \left(93\right) )+ \left(72\right) x) $
|
(1 + 7*60)**(-1)*72**(-1)*(4*x*(x*32)**(7*60)*72 - 59*(1 + 7*60)*cos(x*72 + 93))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16159
|
What is the integral of
$ 4 ( \left(82\right) x)^{7 \left(32\right) }+ \left(17\right) \sin ((1 \left(77\right) )+ \left(81\right) x) $
|
(1 + 7*32)**(-1)*81**(-1)*(4*x*(x*82)**(7*32)*81 - 17*(1 + 7*32)*cos(x*81 + 77))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16160
|
What is the integral of
$ 4 ( \left(51\right) x)^{7 \left(21\right) }+ \left(65\right) \sin ((1 \left(15\right) )+ \left(23\right) x) $
|
(1 + 7*21)**(-1)*23**(-1)*(4*x*(x*51)**(7*21)*23 - 65*(1 + 7*21)*cos(x*23 + 15))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16161
|
What is the integral of
$ 4 ( \left(70\right) x)^{7 \left(51\right) }+ \left(14\right) \sin ((1 \left(10\right) )+ \left(11\right) x) $
|
(1 + 7*51)**(-1)*11**(-1)*(4*x*(x*70)**(7*51)*11 - 14*(1 + 7*51)*cos(x*11 + 10))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16162
|
What is the integral of
$ 4 ( \left(89\right) x)^{7 \left(60\right) }+ \left(10\right) \sin ((1 \left(27\right) )+ \left(98\right) x) $
|
(1 + 7*60)**(-1)*98**(-1)*(4*x*(x*89)**(7*60)*98 - 10*(1 + 7*60)*cos(x*98 + 27))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16163
|
What is the integral of
$ 4 ( \left(38\right) x)^{7 \left(35\right) }+ \left(57\right) \sin ((1 \left(32\right) )+ \left(49\right) x) $
|
(1 + 7*35)**(-1)*49**(-1)*(4*x*(x*38)**(7*35)*49 - 57*(1 + 7*35)*cos(x*49 + 32))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16164
|
What is the integral of
$ 4 ( \left(35\right) x)^{7 \left(46\right) }+ \left(14\right) \sin ((1 \left(71\right) )+ \left(89\right) x) $
|
(1 + 7*46)**(-1)*89**(-1)*(4*x*(x*35)**(7*46)*89 - 14*(1 + 7*46)*cos(x*89 + 71))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16165
|
What is the integral of
$ 4 ( \left(52\right) x)^{7 \left(68\right) }+ \left(64\right) \sin ((1 \left(98\right) )+ \left(21\right) x) $
|
(1 + 7*68)**(-1)*21**(-1)*(4*x*(x*52)**(7*68)*21 - 64*(1 + 7*68)*cos(x*21 + 98))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16166
|
What is the integral of
$ 4 ( \left(95\right) x)^{7 \left(13\right) }+ \left(70\right) \sin ((1 \left(90\right) )+ \left(14\right) x) $
|
(1 + 7*13)**(-1)*14**(-1)*(4*x*(x*95)**(7*13)*14 - 70*(1 + 7*13)*cos(x*14 + 90))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16167
|
What is the integral of
$ 4 ( \left(24\right) x)^{7 \left(77\right) }+ \left(54\right) \sin ((1 \left(49\right) )+ \left(41\right) x) $
|
(1 + 7*77)**(-1)*41**(-1)*(4*x*(x*24)**(7*77)*41 - 54*(1 + 7*77)*cos(x*41 + 49))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16168
|
What is the integral of
$ 4 ( \left(49\right) x)^{7 \left(88\right) }+ \left(47\right) \sin ((1 \left(54\right) )+ \left(52\right) x) $
|
(1 + 7*88)**(-1)*52**(-1)*(4*x*(x*49)**(7*88)*52 - 47*(1 + 7*88)*cos(x*52 + 54))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16169
|
What is the integral of
$ 4 ( \left(88\right) x)^{7 \left(65\right) }+ \left(59\right) \sin ((1 \left(88\right) )+ \left(98\right) x) $
|
(1 + 7*65)**(-1)*98**(-1)*(4*x*(x*88)**(7*65)*98 - 59*(1 + 7*65)*cos(x*98 + 88))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16170
|
What is the integral of
$ 4 ( \left(83\right) x)^{7 \left(49\right) }+ \left(43\right) \sin ((1 \left(49\right) )+ \left(19\right) x) $
|
(1 + 7*49)**(-1)*19**(-1)*(4*x*(x*83)**(7*49)*19 - 43*(1 + 7*49)*cos(x*19 + 49))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16171
|
What is the integral of
$ 4 ( \left(83\right) x)^{7 \left(77\right) }+ \left(11\right) \sin ((1 \left(27\right) )+ \left(53\right) x) $
|
(1 + 7*77)**(-1)*53**(-1)*(4*x*(x*83)**(7*77)*53 - 11*(1 + 7*77)*cos(x*53 + 27))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16172
|
What is the integral of
$ 4 ( \left(10\right) x)^{7 \left(75\right) }+ \left(46\right) \sin ((1 \left(25\right) )+ \left(26\right) x) $
|
(1 + 7*75)**(-1)*26**(-1)*(4*x*(x*10)**(7*75)*26 - 46*(1 + 7*75)*cos(x*26 + 25))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16173
|
What is the integral of
$ 4 ( \left(11\right) x)^{7 \left(29\right) }+ \left(19\right) \sin ((1 \left(16\right) )+ \left(21\right) x) $
|
(1 + 7*29)**(-1)*21**(-1)*(4*x*(x*11)**(7*29)*21 - 19*(1 + 7*29)*cos(x*21 + 16))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16174
|
What is the integral of
$ 4 ( \left(96\right) x)^{7 \left(24\right) }+ \left(69\right) \sin ((1 \left(76\right) )+ \left(59\right) x) $
|
(1 + 7*24)**(-1)*59**(-1)*(4*x*(x*96)**(7*24)*59 - 69*(1 + 7*24)*cos(x*59 + 76))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16175
|
What is the integral of
$ 4 ( \left(29\right) x)^{7 \left(53\right) }+ \left(89\right) \sin ((1 \left(86\right) )+ \left(83\right) x) $
|
(1 + 7*53)**(-1)*83**(-1)*(4*x*(x*29)**(7*53)*83 - 89*(1 + 7*53)*cos(x*83 + 86))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16176
|
What is the integral of
$ 4 ( \left(53\right) x)^{7 \left(30\right) }+ \left(98\right) \sin ((1 \left(40\right) )+ \left(13\right) x) $
|
(1 + 7*30)**(-1)*13**(-1)*(4*x*(x*53)**(7*30)*13 - 98*(1 + 7*30)*cos(x*13 + 40))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16177
|
What is the integral of
$ 4 ( \left(94\right) x)^{7 \left(69\right) }+ \left(56\right) \sin ((1 \left(26\right) )+ \left(72\right) x) $
|
(1 + 7*69)**(-1)*72**(-1)*(4*x*(x*94)**(7*69)*72 - 56*(1 + 7*69)*cos(x*72 + 26))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16178
|
What is the integral of
$ 4 ( \left(38\right) x)^{7 \left(73\right) }+ \left(61\right) \sin ((1 \left(72\right) )+ \left(58\right) x) $
|
(1 + 7*73)**(-1)*58**(-1)*(4*x*(x*38)**(7*73)*58 - 61*(1 + 7*73)*cos(x*58 + 72))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16179
|
What is the integral of
$ 4 ( \left(36\right) x)^{7 \left(32\right) }+ \left(89\right) \sin ((1 \left(49\right) )+ \left(89\right) x) $
|
(1 + 7*32)**(-1)*89**(-1)*(4*x*(x*36)**(7*32)*89 - 89*(1 + 7*32)*cos(x*89 + 49))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16180
|
What is the integral of
$ 4 ( \left(68\right) x)^{7 \left(88\right) }+ \left(75\right) \sin ((1 \left(37\right) )+ \left(54\right) x) $
|
(1 + 7*88)**(-1)*54**(-1)*(4*x*(x*68)**(7*88)*54 - 75*(1 + 7*88)*cos(x*54 + 37))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16181
|
What is the integral of
$ 4 ( \left(38\right) x)^{7 \left(92\right) }+ \left(28\right) \sin ((1 \left(20\right) )+ \left(42\right) x) $
|
(1 + 7*92)**(-1)*42**(-1)*(4*x*(x*38)**(7*92)*42 - 28*(1 + 7*92)*cos(x*42 + 20))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16182
|
What is the integral of
$ 4 ( \left(54\right) x)^{7 \left(84\right) }+ \left(88\right) \sin ((1 \left(66\right) )+ \left(74\right) x) $
|
(1 + 7*84)**(-1)*74**(-1)*(4*x*(x*54)**(7*84)*74 - 88*(1 + 7*84)*cos(x*74 + 66))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16183
|
What is the integral of
$ 4 ( \left(13\right) x)^{7 \left(18\right) }+ \left(77\right) \sin ((1 \left(65\right) )+ \left(83\right) x) $
|
(1 + 7*18)**(-1)*83**(-1)*(4*x*(x*13)**(7*18)*83 - 77*(1 + 7*18)*cos(x*83 + 65))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16184
|
What is the integral of
$ 4 ( \left(45\right) x)^{7 \left(55\right) }+ \left(68\right) \sin ((1 \left(95\right) )+ \left(82\right) x) $
|
(1 + 7*55)**(-1)*82**(-1)*(4*x*(x*45)**(7*55)*82 - 68*(1 + 7*55)*cos(x*82 + 95))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16185
|
What is the integral of
$ 4 ( \left(94\right) x)^{7 \left(39\right) }+ \left(18\right) \sin ((1 \left(10\right) )+ \left(92\right) x) $
|
(1 + 7*39)**(-1)*92**(-1)*(4*x*(x*94)**(7*39)*92 - 18*(1 + 7*39)*cos(x*92 + 10))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16186
|
What is the integral of
$ 4 ( \left(67\right) x)^{7 \left(23\right) }+ \left(52\right) \sin ((1 \left(26\right) )+ \left(83\right) x) $
|
(1 + 7*23)**(-1)*83**(-1)*(4*x*(x*67)**(7*23)*83 - 52*(1 + 7*23)*cos(x*83 + 26))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16187
|
What is the integral of
$ 4 ( \left(21\right) x)^{7 \left(45\right) }+ \left(17\right) \sin ((1 \left(99\right) )+ \left(23\right) x) $
|
(1 + 7*45)**(-1)*23**(-1)*(4*x*(x*21)**(7*45)*23 - 17*(1 + 7*45)*cos(x*23 + 99))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16188
|
What is the integral of
$ 4 ( \left(31\right) x)^{7 \left(48\right) }+ \left(71\right) \sin ((1 \left(17\right) )+ \left(93\right) x) $
|
(1 + 7*48)**(-1)*93**(-1)*(4*x*(x*31)**(7*48)*93 - 71*(1 + 7*48)*cos(x*93 + 17))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16189
|
What is the integral of
$ 4 ( \left(15\right) x)^{7 \left(35\right) }+ \left(51\right) \sin ((1 \left(12\right) )+ \left(74\right) x) $
|
(1 + 7*35)**(-1)*74**(-1)*(4*x*(x*15)**(7*35)*74 - 51*(1 + 7*35)*cos(x*74 + 12))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16190
|
What is the integral of
$ 4 ( \left(92\right) x)^{7 \left(54\right) }+ \left(79\right) \sin ((1 \left(49\right) )+ \left(28\right) x) $
|
(1 + 7*54)**(-1)*28**(-1)*(4*x*(x*92)**(7*54)*28 - 79*(1 + 7*54)*cos(x*28 + 49))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16191
|
What is the integral of
$ 4 ( \left(29\right) x)^{7 \left(17\right) }+ \left(11\right) \sin ((1 \left(26\right) )+ \left(35\right) x) $
|
(1 + 7*17)**(-1)*35**(-1)*(4*x*(x*29)**(7*17)*35 - 11*(1 + 7*17)*cos(x*35 + 26))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16192
|
What is the integral of
$ 4 ( \left(28\right) x)^{7 \left(52\right) }+ \left(50\right) \sin ((1 \left(80\right) )+ \left(61\right) x) $
|
(1 + 7*52)**(-1)*61**(-1)*(4*x*(x*28)**(7*52)*61 - 50*(1 + 7*52)*cos(x*61 + 80))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16193
|
What is the integral of
$ 4 ( \left(33\right) x)^{7 \left(63\right) }+ \left(60\right) \sin ((1 \left(72\right) )+ \left(24\right) x) $
|
(1 + 7*63)**(-1)*24**(-1)*(4*x*(x*33)**(7*63)*24 - 60*(1 + 7*63)*cos(x*24 + 72))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16194
|
What is the integral of
$ 4 ( \left(95\right) x)^{7 \left(52\right) }+ \left(44\right) \sin ((1 \left(78\right) )+ \left(40\right) x) $
|
(1 + 7*52)**(-1)*40**(-1)*(4*x*(x*95)**(7*52)*40 - 44*(1 + 7*52)*cos(x*40 + 78))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16195
|
What is the integral of
$ 4 ( \left(12\right) x)^{7 \left(91\right) }+ \left(81\right) \sin ((1 \left(33\right) )+ \left(25\right) x) $
|
(1 + 7*91)**(-1)*25**(-1)*(4*x*(x*12)**(7*91)*25 - 81*(1 + 7*91)*cos(x*25 + 33))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16196
|
What is the integral of
$ 4 ( \left(93\right) x)^{7 \left(12\right) }+ \left(27\right) \sin ((1 \left(59\right) )+ \left(96\right) x) $
|
(1 + 7*12)**(-1)*96**(-1)*(4*x*(x*93)**(7*12)*96 - 27*(1 + 7*12)*cos(x*96 + 59))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16197
|
What is the integral of
$ 4 ( \left(60\right) x)^{7 \left(55\right) }+ \left(63\right) \sin ((1 \left(77\right) )+ \left(21\right) x) $
|
(1 + 7*55)**(-1)*21**(-1)*(4*x*(x*60)**(7*55)*21 - 63*(1 + 7*55)*cos(x*21 + 77))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16198
|
What is the integral of
$ 4 ( \left(12\right) x)^{7 \left(99\right) }+ \left(95\right) \sin ((1 \left(29\right) )+ \left(82\right) x) $
|
(1 + 7*99)**(-1)*82**(-1)*(4*x*(x*12)**(7*99)*82 - 95*(1 + 7*99)*cos(x*82 + 29))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q14
|
|
16199
|
What is the integral of
$ 2 x+2 \left(28\right) x^{2 \left(13\right) }+\frac{x}{ \left(10\right) x+ \left(57\right) x e^{ \left(95\right) x}} $.
|
10**(-1)*95**(-1)*(x*10*(1 + 2*13)**(-1)*(x*(1 + 2*13) + 2*x**(2*13)*28)*95 + log(e**(x*95)) - log(10*95*(10 + 57*e**(x*95))))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q7
|
|
16200
|
What is the integral of
$ 2 x+2 \left(60\right) x^{2 \left(39\right) }+\frac{x}{ \left(24\right) x+ \left(55\right) x e^{ \left(16\right) x}} $.
|
24**(-1)*16**(-1)*(x*24*(1 + 2*39)**(-1)*(x*(1 + 2*39) + 2*x**(2*39)*60)*16 + log(e**(x*16)) - log(24*16*(24 + 55*e**(x*16))))
|
Numeric-All-2-S
|
GHOSTS
Symbolic Integration
Q7
|
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