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3.2
Integrals 101 to 196
\(\int (\operatorname {PolyLog}(-\genfrac {}{}{}{}{3}{2},a x)+\operatorname {PolyLog}(-\genfrac {}{}{}{}{1}{2},a x)) \, dx\) [101]
\(\int (d x)^m \operatorname {PolyLog}(2,a x) \, dx\) [102]
\(\int (d x)^m \operatorname {PolyLog}(3,a x) \, dx\) [103]
\(\int (d x)^m \operatorname {PolyLog}(4,a x) \, dx\) [104]
\(\int (d x)^m \operatorname {PolyLog}(2,a x^2) \, dx\) [105]
\(\int (d x)^m \operatorname {PolyLog}(3,a x^2) \, dx\) [106]
\(\int (d x)^m \operatorname {PolyLog}(4,a x^2) \, dx\) [107]
\(\int (d x)^m \operatorname {PolyLog}(2,a x^3) \, dx\) [108]
\(\int (d x)^m \operatorname {PolyLog}(3,a x^3) \, dx\) [109]
\(\int (d x)^m \operatorname {PolyLog}(4,a x^3) \, dx\) [110]
\(\int (d x)^m \operatorname {PolyLog}(2,a x^q) \, dx\) [111]
\(\int (d x)^m \operatorname {PolyLog}(3,a x^q) \, dx\) [112]
\(\int (d x)^m \operatorname {PolyLog}(4,a x^q) \, dx\) [113]
\(\int x \operatorname {PolyLog}(n,a x) \, dx\) [114]
\(\int \operatorname {PolyLog}(n,a x) \, dx\) [115]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(n,a x)}{x} \, dx\) [116]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(n,a x)}{x^2} \, dx\) [117]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(n,a x)}{x^3} \, dx\) [118]
\(\int x \operatorname {PolyLog}(n,a x^q) \, dx\) [119]
\(\int \operatorname {PolyLog}(n,a x^q) \, dx\) [120]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(n,a x^q)}{x} \, dx\) [121]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(n,a x^q)}{x^2} \, dx\) [122]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(n,a x^q)}{x^3} \, dx\) [123]
\(\int x^2 \operatorname {PolyLog}(2,c (a+b x)) \, dx\) [124]
\(\int x \operatorname {PolyLog}(2,c (a+b x)) \, dx\) [125]
\(\int \operatorname {PolyLog}(2,c (a+b x)) \, dx\) [126]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(2,c (a+b x))}{x} \, dx\) [127]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(2,c (a+b x))}{x^2} \, dx\) [128]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(2,c (a+b x))}{x^3} \, dx\) [129]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(2,c (a+b x))}{x^4} \, dx\) [130]
\(\int x^2 \operatorname {PolyLog}(3,c (a+b x)) \, dx\) [131]
\(\int x \operatorname {PolyLog}(3,c (a+b x)) \, dx\) [132]
\(\int \operatorname {PolyLog}(3,c (a+b x)) \, dx\) [133]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(3,c (a+b x))}{x} \, dx\) [134]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(3,c (a+b x))}{x^2} \, dx\) [135]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(3,c (a+b x))}{x^3} \, dx\) [136]
\(\int (d+e x)^3 \operatorname {PolyLog}(2,c (a+b x)) \, dx\) [137]
\(\int (d+e x)^2 \operatorname {PolyLog}(2,c (a+b x)) \, dx\) [138]
\(\int (d+e x) \operatorname {PolyLog}(2,c (a+b x)) \, dx\) [139]
\(\int \operatorname {PolyLog}(2,c (a+b x)) \, dx\) [140]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(2,c (a+b x))}{d+e x} \, dx\) [141]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(2,c (a+b x))}{(d+e x)^2} \, dx\) [142]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(2,c (a+b x))}{(d+e x)^3} \, dx\) [143]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(2,c (a+b x))}{(d+e x)^4} \, dx\) [144]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(2,x)}{-1+x} \, dx\) [145]
\(\int -\genfrac {}{}{}{}{\operatorname {PolyLog}(2,x)}{1-x} \, dx\) [146]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(2,x)}{(-1+x) x} \, dx\) [147]
\(\int -\genfrac {}{}{}{}{\operatorname {PolyLog}(2,x)}{(1-x) x} \, dx\) [148]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(n,e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)}{(a+b x) (c+d x)} \, dx\) [149]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(3,e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)}{(a+b x) (c+d x)} \, dx\) [150]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(2,e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)}{(a+b x) (c+d x)} \, dx\) [151]
\(\int -\genfrac {}{}{}{}{\log (1-e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)}{(a+b x) (c+d x)} \, dx\) [152]
\(\int \genfrac {}{}{}{}{e (\genfrac {}{}{}{}{a+b x}{c+d x})^n}{(a+b x) (c+d x) (1-e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)} \, dx\) [153]
\(\int \genfrac {}{}{}{}{e (\genfrac {}{}{}{}{a+b x}{c+d x})^n}{(a+b x) (c+d x) (1-e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)^2} \, dx\) [154]
\(\int \genfrac {}{}{}{}{e (\genfrac {}{}{}{}{a+b x}{c+d x})^n+e^2 (\genfrac {}{}{}{}{a+b x}{c+d x})^{2 n}}{(a+b x) (c+d x) (1-e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)^3} \, dx\) [155]
\(\int x^3 \operatorname {PolyLog}(n,d (F^{c (a+b x)})^p) \, dx\) [156]
\(\int x^2 \operatorname {PolyLog}(n,d (F^{c (a+b x)})^p) \, dx\) [157]
\(\int x \operatorname {PolyLog}(n,d (F^{c (a+b x)})^p) \, dx\) [158]
\(\int \operatorname {PolyLog}(n,d (F^{c (a+b x)})^p) \, dx\) [159]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(n,d (F^{c (a+b x)})^p)}{x} \, dx\) [160]
\(\int x^3 \log (1-c x) \operatorname {PolyLog}(2,c x) \, dx\) [161]
\(\int x^2 \log (1-c x) \operatorname {PolyLog}(2,c x) \, dx\) [162]
\(\int x \log (1-c x) \operatorname {PolyLog}(2,c x) \, dx\) [163]
\(\int \log (1-c x) \operatorname {PolyLog}(2,c x) \, dx\) [164]
\(\int \genfrac {}{}{}{}{\log (1-c x) \operatorname {PolyLog}(2,c x)}{x} \, dx\) [165]
\(\int \genfrac {}{}{}{}{\log (1-c x) \operatorname {PolyLog}(2,c x)}{x^2} \, dx\) [166]
\(\int \genfrac {}{}{}{}{\log (1-c x) \operatorname {PolyLog}(2,c x)}{x^3} \, dx\) [167]
\(\int \genfrac {}{}{}{}{\log (1-c x) \operatorname {PolyLog}(2,c x)}{x^4} \, dx\) [168]
\(\int \genfrac {}{}{}{}{\log (1-c x) \operatorname {PolyLog}(2,c x)}{x^5} \, dx\) [169]
\(\int x^2 (g+h \log (1-c x)) \operatorname {PolyLog}(2,c x) \, dx\) [170]
\(\int x (g+h \log (1-c x)) \operatorname {PolyLog}(2,c x) \, dx\) [171]
\(\int (g+h \log (1-c x)) \operatorname {PolyLog}(2,c x) \, dx\) [172]
\(\int \genfrac {}{}{}{}{(g+h \log (1-c x)) \operatorname {PolyLog}(2,c x)}{x} \, dx\) [173]
\(\int \genfrac {}{}{}{}{(g+h \log (1-c x)) \operatorname {PolyLog}(2,c x)}{x^2} \, dx\) [174]
\(\int \genfrac {}{}{}{}{(g+h \log (1-c x)) \operatorname {PolyLog}(2,c x)}{x^3} \, dx\) [175]
\(\int \genfrac {}{}{}{}{(g+h \log (1-c x)) \operatorname {PolyLog}(2,c x)}{x^4} \, dx\) [176]
\(\int x^2 (a+b x) \log (1-c x) \operatorname {PolyLog}(2,c x) \, dx\) [177]
\(\int x (a+b x) \log (1-c x) \operatorname {PolyLog}(2,c x) \, dx\) [178]
\(\int (a+b x) \log (1-c x) \operatorname {PolyLog}(2,c x) \, dx\) [179]
\(\int \genfrac {}{}{}{}{(a+b x) \log (1-c x) \operatorname {PolyLog}(2,c x)}{x} \, dx\) [180]
\(\int \genfrac {}{}{}{}{(a+b x) \log (1-c x) \operatorname {PolyLog}(2,c x)}{x^2} \, dx\) [181]
\(\int \genfrac {}{}{}{}{(a+b x) \log (1-c x) \operatorname {PolyLog}(2,c x)}{x^3} \, dx\) [182]
\(\int \genfrac {}{}{}{}{(a+b x) \log (1-c x) \operatorname {PolyLog}(2,c x)}{x^4} \, dx\) [183]
\(\int \genfrac {}{}{}{}{(a+b x) \log (1-c x) \operatorname {PolyLog}(2,c x)}{x^5} \, dx\) [184]
\(\int x (a+b x+c x^2) \log (1-d x) \operatorname {PolyLog}(2,d x) \, dx\) [185]
\(\int (a+b x+c x^2) \log (1-d x) \operatorname {PolyLog}(2,d x) \, dx\) [186]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2) \log (1-d x) \operatorname {PolyLog}(2,d x)}{x} \, dx\) [187]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2) \log (1-d x) \operatorname {PolyLog}(2,d x)}{x^2} \, dx\) [188]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2) \log (1-d x) \operatorname {PolyLog}(2,d x)}{x^3} \, dx\) [189]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2) \log (1-d x) \operatorname {PolyLog}(2,d x)}{x^4} \, dx\) [190]
\(\int \genfrac {}{}{}{}{(a+b x+c x^2) \log (1-d x) \operatorname {PolyLog}(2,d x)}{x^5} \, dx\) [191]
\(\int x (g+h \log (f (d+e x)^n)) \operatorname {PolyLog}(2,c (a+b x)) \, dx\) [192]
\(\int (g+h \log (f (d+e x)^n)) \operatorname {PolyLog}(2,c (a+b x)) \, dx\) [193]
\(\int \genfrac {}{}{}{}{(g+h \log (f (d+e x)^n)) \operatorname {PolyLog}(2,c (a+b x))}{x} \, dx\) [194]
\(\int \genfrac {}{}{}{}{(g+h \log (f (d+e x)^n)) \operatorname {PolyLog}(2,c (a+b x))}{x^2} \, dx\) [195]
\(\int \genfrac {}{}{}{}{(g+h \log (f (d+e x)^n)) \operatorname {PolyLog}(2,c (a+b x))}{x^3} \, dx\) [196]
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