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3.2
Integrals 101 to 200
3.2.1
\(\int e^{1+x-x^2} (1-2 x) \, dx\) [101]
3.2.2
\(\int e^{\sqrt {x}} \sqrt {x} \, dx\) [102]
3.2.3
\(\int \cos (3 x) \sin (2 x) \, dx\) [103]
3.2.4
\(\int (1+2 \sin (x)) \, dx\) [104]
3.2.5
\(\int (1-x)^{2014} x \, dx\) [105]
3.2.6
\(\int \text {arcsinh}(x) \, dx\) [106]
3.2.7
\(\int \genfrac {}{}{}{}{x^2}{-1+x} \, dx\) [107]
3.2.8
\(\int x \arctan (x) \, dx\) [108]
3.2.9
\(\int \genfrac {}{}{}{}{1}{-2014-15 x+x^2} \, dx\) [109]
3.2.10
\(\int e^x (-2 (1+x) \arctan (x)+\log (1+x^2)) \, dx\) [110]
3.2.11
\(\int \arcsin (x)^2 \, dx\) [111]
3.2.12
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^2}}{x} \, dx\) [112]
3.2.13
\(\int x \sec ^2(4 x) \, dx\) [113]
3.2.14
\(\int \genfrac {}{}{}{}{2}{6-11 x+6 x^2-x^3} \, dx\) [114]
3.2.15
\(\int \genfrac {}{}{}{}{1}{1-\log (1-x)} \, dx\) [115]
3.2.16
\(\int \sqrt {x+\sqrt {1+x^2}} \, dx\) [116]
3.2.17
\(\int \genfrac {}{}{}{}{1}{2+\cos (x)} \, dx\) [117]
3.2.18
\(\int (\cos ^4(x)-\sin ^4(x)) \, dx\) [118]
3.2.19
\(\int \genfrac {}{}{}{}{x}{\sqrt {2+4 x}} \, dx\) [119]
3.2.20
\(\int \genfrac {}{}{}{}{\cos (\sqrt {x})}{\sqrt {x}} \, dx\) [120]
3.2.21
\(\int \sec (x) \, dx\) [121]
3.2.22
\(\int e^{\sin (x)} \cos (x) \, dx\) [122]
3.2.23
\(\int x \log ^2(x) \, dx\) [123]
3.2.24
\(\int \genfrac {}{}{}{}{1}{5+4 \sqrt {x}+x} \, dx\) [124]
3.2.25
\(\int 2015^x \, dx\) [125]
3.2.26
\(\int \genfrac {}{}{}{}{x}{(-3+x) (5+x)^2} \, dx\) [126]
3.2.27
\(\int \genfrac {}{}{}{}{\log (1+\log (x))}{x} \, dx\) [127]
3.2.28
\(\int \sqrt {\csc (x)-\sin (x)} \, dx\) [128]
3.2.29
\(\int \genfrac {}{}{}{}{1}{\sqrt {25+x^2}} \, dx\) [129]
3.2.30
\(\int \genfrac {}{}{}{}{-1+\log ^2(x)}{x \log ^2(x)} \, dx\) [130]
3.2.31
\(\int e^{3 x} \arctan (e^x) \, dx\) [131]
3.2.32
\(\int \genfrac {}{}{}{}{1}{\cos ^4(x)+\sin ^4(x)} \, dx\) [132]
3.2.33
\(\int \genfrac {}{}{}{}{1+e^x}{1-e^x} \, dx\) [133]
3.2.34
\(\int \tan ^4(x) \, dx\) [134]
3.2.35
\(\int \sin (x) \tan ^2(x) \, dx\) [135]
3.2.36
\(\int \genfrac {}{}{}{}{1+x}{3+2 x+x^2} \, dx\) [136]
3.2.37
\(\int \tanh (x) \, dx\) [137]
3.2.38
\(\int (-x+x^3) \, dx\) [138]
3.2.39
\(\int \log (\sqrt {x}) \, dx\) [139]
3.2.40
\(\int (-e^{e^{-x}+e^x-x}+e^{e^{-x}+e^x+x}) \, dx\) [140]
3.2.41
\(\int \genfrac {}{}{}{}{\log (\log (x))}{x \log (x)} \, dx\) [141]
3.2.42
\(\int \genfrac {}{}{}{}{1}{1+\tan ^2(x)} \, dx\) [142]
3.2.43
\(\int \arcsin (\genfrac {}{}{}{}{\sqrt [3]{x}}{3}) \, dx\) [143]
3.2.44
\(\int \log (x) \, dx\) [144]
3.2.45
\(\int e^x (\cos (x)-\sin (x)) \, dx\) [145]
3.2.46
\(\int e^{-x^2} x^3 \, dx\) [146]
3.2.47
\(\int ((1+2 e^{x^2} x) \cos (x)-(e^{x^2}+x) \sin (x)) \, dx\) [147]
3.2.48
\(\int (1+\genfrac {}{}{}{}{1}{\sqrt {x}}+\genfrac {}{}{}{}{1}{\sqrt [3]{x}}) (1+\sqrt [3]{x}+\sqrt {x}) \, dx\) [148]
3.2.49
\(\int \cos (x) \cos (\sin (x)) \sin (\sin (x)) \, dx\) [149]
3.2.50
\(\int (\genfrac {}{}{}{}{-\cos (x)+\sin (x)}{x}+\genfrac {}{}{}{}{\cos (x)+\sin (x)}{x^2}) \, dx\) [150]
3.2.51
\(\int x^3 \sqrt {1+x^2} \, dx\) [151]
3.2.52
\(\int \genfrac {}{}{}{}{x}{1+x^2+x^4} \, dx\) [152]
3.2.53
\(\int e^{e^{2016 x}+6048 x} \, dx\) [153]
3.2.54
\(\int (1-\cot (x)) \, dx\) [154]
3.2.55
\(\int \genfrac {}{}{}{}{1}{1-x+x^2-x^3} \, dx\) [155]
3.2.56
\(\int \genfrac {}{}{}{}{1}{2+\cosh (x)} \, dx\) [156]
3.2.57
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {2+x^3}} \, dx\) [157]
3.2.58
\(\int \genfrac {}{}{}{}{\log (x)}{x^2} \, dx\) [158]
3.2.59
\(\int \text {sech}(x) \, dx\) [159]
3.2.60
\(\int e^{x^2} x^3 \, dx\) [160]
3.2.61
\(\int \genfrac {}{}{}{}{1}{x \sqrt {-1+x^2}} \, dx\) [161]
3.2.62
\(\int \genfrac {}{}{}{}{1}{x (1+x^2)} \, dx\) [162]
3.2.63
\(\int \text {arccosh}(x) \, dx\) [163]
3.2.64
\(\int e^{-3-5 x-2 x^2} \, dx\) [164]
3.2.65
\(\int \sin (\sqrt {x}) \, dx\) [165]
3.2.66
\(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{1}{x}+x)^2} \, dx\) [166]
3.2.67
\(\int \genfrac {}{}{}{}{e^{-x} (2+x)}{x^3} \, dx\) [167]
3.2.68
\(\int \genfrac {}{}{}{}{1}{\sqrt {(1-x) x}} \, dx\) [168]
3.2.69
\(\int e^{-x} \tanh (x) \, dx\) [169]
3.2.70
\(\int \sqrt {1+\sin (x)} \, dx\) [170]
3.2.71
\(\int \genfrac {}{}{}{}{1}{1+\sqrt {x}} \, dx\) [171]
3.2.72
\(\int e^{-x^2} \sin ^2(\genfrac {}{}{}{}{\pi }{4}+x) \, dx\) [172]
3.2.73
\(\int 3 e^{-2 x^3-x^6} x^2 (1+x^3)^2 \, dx\) [173]
3.2.74
\(\int e^{2 x} \cos (3 x) \, dx\) [174]
3.2.75
\(\int \cos ^{\cos (x)}(x) (1+\log (\cos (x))) \sin (x) \, dx\) [175]
3.2.76
\(\int \genfrac {}{}{}{}{e^x}{2+e^x} \, dx\) [176]
3.2.77
\(\int \sin (2018 x) \, dx\) [177]
3.2.78
\(\int \genfrac {}{}{}{}{1}{\cot (x)+\tan (x)} \, dx\) [178]
3.2.79
\(\int \genfrac {}{}{}{}{x^5}{2+x^{12}} \, dx\) [179]
3.2.80
\(\int (\cos (x) \cosh (x)+\sin (x) \sinh (x)) \, dx\) [180]
3.2.81
\(\int \genfrac {}{}{}{}{e^x+\cos (x)}{e^x+\sin (x)} \, dx\) [181]
3.2.82
\(\int \cos (x) \sin (\cos (\sin (x))) \sin (\sin (x)) \, dx\) [182]
3.2.83
\(\int \genfrac {}{}{}{}{1}{1+\sin (x)} \, dx\) [183]
3.2.84
\(\int \genfrac {}{}{}{}{\cos (x)}{1-\cos (2 x)} \, dx\) [184]
3.2.85
\(\int e^x (\genfrac {}{}{}{}{1}{x}+\log (x)) \, dx\) [185]
3.2.86
\(\int \tanh ^2(x) \, dx\) [186]
3.2.87
\(\int \genfrac {}{}{}{}{-\sin ^2(x)+\sin (2 x)}{-\cos ^2(x)+\cos (2 x)} \, dx\) [187]
3.2.88
\(\int \genfrac {}{}{}{}{1}{x^{9/25}+x^{41/25}} \, dx\) [188]
3.2.89
\(\int \genfrac {}{}{}{}{\cos (x)}{2-\cos ^2(x)} \, dx\) [189]
3.2.90
\(\int \genfrac {}{}{}{}{1}{(1+x^2)^{3/2}} \, dx\) [190]
3.2.91
\(\int \genfrac {}{}{}{}{1}{\sqrt {x^{3/2}-x^2}} \, dx\) [191]
3.2.92
\(\int \genfrac {}{}{}{}{-1+x}{x+x^2 \log (x)} \, dx\) [192]
3.2.93
\(\int \csc (x) \sec (x) \, dx\) [193]
3.2.94
\(\int \tan (\cos (x)) \, dx\) [194]
3.2.95
\(\int \genfrac {}{}{}{}{1+x}{x (x+\log (x))} \, dx\) [195]
3.2.96
\(\int (e^{-e^x+x}+e^{e^x+x}) \, dx\) [196]
3.2.97
\(\int \genfrac {}{}{}{}{1}{1-x^2} \, dx\) [197]
3.2.98
\(\int 2^{\log (x)} \, dx\) [198]
3.2.99
\(\int (\cos (3 x)+\sin (2 x) (\cos (3 x)-\sin (2019 x))) \, dx\) [199]
3.2.100
\(\int \cos (x) \cos (\sin (x)) \cos (\sin (\sin (x))) \, dx\) [200]
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