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3.2
Integrals 101 to 200
3.2.1
\(\int x \cos ^3(x) \, dx\) [101]
3.2.2
\(\int \genfrac {}{}{}{}{\sin (x)}{x} \, dx\) [102]
3.2.3
\(\int \genfrac {}{}{}{}{\cos (x)}{x} \, dx\) [103]
3.2.4
\(\int \genfrac {}{}{}{}{\sin (x)}{x^2} \, dx\) [104]
3.2.5
\(\int \genfrac {}{}{}{}{\sin ^2(x)}{x} \, dx\) [105]
3.2.6
\(\int \tan ^3(x) \, dx\) [106]
3.2.7
\(\int \sin (a+b x) \, dx\) [107]
3.2.8
\(\int \cos (a+b x) \, dx\) [108]
3.2.9
\(\int \tan (a+b x) \, dx\) [109]
3.2.10
\(\int \cot (a+b x) \, dx\) [110]
3.2.11
\(\int \csc (a+b x) \, dx\) [111]
3.2.12
\(\int \sec (a+b x) \, dx\) [112]
3.2.13
\(\int \sin ^2(a+b x) \, dx\) [113]
3.2.14
\(\int \sin ^3(a+b x) \, dx\) [114]
3.2.15
\(\int \cos ^2(a+b x) \, dx\) [115]
3.2.16
\(\int \cos ^3(a+b x) \, dx\) [116]
3.2.17
\(\int \sec ^2(a+b x) \, dx\) [117]
3.2.18
\(\int \genfrac {}{}{}{}{1}{1+\cos (x)} \, dx\) [118]
3.2.19
\(\int \genfrac {}{}{}{}{1}{1-\cos (x)} \, dx\) [119]
3.2.20
\(\int \genfrac {}{}{}{}{1}{1+\sin (x)} \, dx\) [120]
3.2.21
\(\int \genfrac {}{}{}{}{1}{1-\sin (x)} \, dx\) [121]
3.2.22
\(\int \genfrac {}{}{}{}{1}{a+b \sin (x)} \, dx\) [122]
3.2.23
\(\int \genfrac {}{}{}{}{1}{a+\cos (x)+b \sin (x)} \, dx\) [123]
3.2.24
\(\int x^2 \sin ^2(a+b x) \, dx\) [124]
3.2.25
\(\int \cos (x) \cos (2 x) \, dx\) [125]
3.2.26
\(\int x^2 \cos ^2(a+b x) \, dx\) [126]
3.2.27
\(\int \cot ^3(x) \, dx\) [127]
3.2.28
\(\int x^3 \tan ^4(x) \, dx\) [128]
3.2.29
\(\int x^3 \tan ^6(x) \, dx\) [129]
3.2.30
\(\int x \tan ^2(x) \, dx\) [130]
3.2.31
\(\int \cos (3 x) \sin (2 x) \, dx\) [131]
3.2.32
\(\int \cos ^2(x) \sin ^2(x) \, dx\) [132]
3.2.33
\(\int \csc ^2(x) \sec ^2(x) \, dx\) [133]
3.2.34
\(\int d^x \sin (x) \, dx\) [134]
3.2.35
\(\int d^x \cos (x) \, dx\) [135]
3.2.36
\(\int d^x x \sin (x) \, dx\) [136]
3.2.37
\(\int d^x x \cos (x) \, dx\) [137]
3.2.38
\(\int d^x x^2 \sin (x) \, dx\) [138]
3.2.39
\(\int d^x x^2 \cos (x) \, dx\) [139]
3.2.40
\(\int d^x x^3 \sin (x) \, dx\) [140]
3.2.41
\(\int d^x x^3 \cos (x) \, dx\) [141]
3.2.42
\(\int \sin (x) \sin (2 x) \sin (3 x) \, dx\) [142]
3.2.43
\(\int \cos (x) \cos (2 x) \cos (3 x) \, dx\) [143]
3.2.44
\(\int x^2 \sin ^3(k x) \, dx\) [144]
3.2.45
\(\int x \cos (k \csc (x)) \cot (x) \csc (x) \, dx\) [145]
3.2.46
\(\int \cot (\genfrac {}{}{}{}{x}{2}) \cot (x) \, dx\) [146]
3.2.47
\(\int \genfrac {}{}{}{}{\sin (a x)}{(b+c \sin (a x))^2} \, dx\) [147]
3.2.48
\(\int \sin (\log (x)) \, dx\) [148]
3.2.49
\(\int \cos (\log (x)) \, dx\) [149]
3.2.50
\(\int e^x \, dx\) [150]
3.2.51
\(\int a^x \, dx\) [151]
3.2.52
\(\int e^{a x} \, dx\) [152]
3.2.53
\(\int \genfrac {}{}{}{}{e^{a x}}{x} \, dx\) [153]
3.2.54
\(\int \genfrac {}{}{}{}{1}{a+b e^{m x}} \, dx\) [154]
3.2.55
\(\int \genfrac {}{}{}{}{e^{2 x}}{1+e^x} \, dx\) [155]
3.2.56
\(\int e^{2 x+a x} \, dx\) [156]
3.2.57
\(\int \genfrac {}{}{}{}{1}{b e^{-m x}+a e^{m x}} \, dx\) [157]
3.2.58
\(\int e^{a x} x \, dx\) [158]
3.2.59
\(\int e^x x^{20} \, dx\) [159]
3.2.60
\(\int a^x b^{-x} \, dx\) [160]
3.2.61
\(\int a^x b^x \, dx\) [161]
3.2.62
\(\int \genfrac {}{}{}{}{a^x}{x^2} \, dx\) [162]
3.2.63
\(\int \genfrac {}{}{}{}{a^x x}{(1+b x)^2} \, dx\) [163]
3.2.64
\(\int \genfrac {}{}{}{}{e^{a x} x}{(1+a x)^2} \, dx\) [164]
3.2.65
\(\int k^{x^2} x \, dx\) [165]
3.2.66
\(\int e^{x^2} \, dx\) [166]
3.2.67
\(\int e^{x^2} x \, dx\) [167]
3.2.68
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{x}} (1+x)}{x^4} \, dx\) [168]
3.2.69
\(\int \genfrac {}{}{}{}{e^{1-e^{x^2} x+2 x^2} (x+2 x^3)}{(1-e^{x^2} x)^2} \, dx\) [169]
3.2.70
\(\int e^{e^{e^{e^x}}} \, dx\) [170]
3.2.71
\(\int e^x \log (x) \, dx\) [171]
3.2.72
\(\int e^x x \log (x) \, dx\) [172]
3.2.73
\(\int e^{2 x} \log (e^x) \, dx\) [173]
3.2.74
\(\int (2 x+\sqrt {2} x^2) \, dx\) [174]
3.2.75
\(\int \genfrac {}{}{}{}{\log (x)}{\sqrt {b+a x}} \, dx\) [175]
3.2.76
\(\int \sqrt {a+b x} \sqrt {c+d x} \, dx\) [176]
3.2.77
\(\int \sqrt {a+b x} \, dx\) [177]
3.2.78
\(\int x \sqrt {a+b x} \, dx\) [178]
3.2.79
\(\int x^2 \sqrt {a+b x} \, dx\) [179]
3.2.80
\(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x} \, dx\) [180]
3.2.81
\(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{x^2} \, dx\) [181]
3.2.82
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x}} \, dx\) [182]
3.2.83
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x}} \, dx\) [183]
3.2.84
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b x}} \, dx\) [184]
3.2.85
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x}} \, dx\) [185]
3.2.86
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+b x}} \, dx\) [186]
3.2.87
\(\int (a+b x)^{p/2} \, dx\) [187]
3.2.88
\(\int x (a+b x)^{p/2} \, dx\) [188]
3.2.89
\(\int \arctan (\genfrac {}{}{}{}{-\sqrt {2}+2 x}{\sqrt {2}}) \, dx\) [189]
3.2.90
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x^2}} \, dx\) [190]
3.2.91
\(\int \sqrt {x} \sqrt {1+x} \, dx\) [191]
3.2.92
\(\int \sin (\sqrt {x}) \, dx\) [192]
3.2.93
\(\int \genfrac {}{}{}{}{x}{(1-x^2)^{9/8}} \, dx\) [193]
3.2.94
\(\int \genfrac {}{}{}{}{x}{\sqrt {1-x^4}} \, dx\) [194]
3.2.95
\(\int \genfrac {}{}{}{}{1}{x \sqrt {1+x^4}} \, dx\) [195]
3.2.96
\(\int \genfrac {}{}{}{}{x}{\sqrt {1+x^2+x^4}} \, dx\) [196]
3.2.97
\(\int \genfrac {}{}{}{}{1}{x \sqrt {-1+x^2-x^4}} \, dx\) [197]
3.2.98
\(\int \genfrac {}{}{}{}{1+x}{(1-x)^2 \sqrt {1+x^2}} \, dx\) [198]
3.2.99
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+x^2}} \, dx\) [199]
3.2.100
\(\int \genfrac {}{}{}{}{\sqrt {x} \sqrt {1+x}+\sqrt {x} \sqrt {2+x}+\sqrt {1+x} \sqrt {2+x}}{2 \sqrt {x} \sqrt {1+x} \sqrt {2+x}} \, dx\) [200]
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