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