3.2 Integrals 101 to 108

\(\int \log ^3(\genfrac {}{}{}{}{c x^2}{(b+a x)^2}) \, dx\) [101]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(2,1+\genfrac {}{}{}{}{b c-a d}{d (a+b x)})}{(a+b x) (c+d x)} \, dx\) [102]
\(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{-b c+a d}{d (a+b x)}) \log (\genfrac {}{}{}{}{e (c+d x)}{a+b x})}{(a+b x) (c+d x)} \, dx\) [103]
\(\int \genfrac {}{}{}{}{\log ^2(\genfrac {}{}{}{}{(b e-a f) (c+d x)}{(d e-c f) (a+b x)})}{a+b x} \, dx\) [104]
\(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{e (c+d x)}{a+b x}) \log (\genfrac {}{}{}{}{(-b c+a d) (e+f x)}{(d e-c f) (a+b x)})}{(a+b x) (c+d x)} \, dx\) [105]
\(\int \genfrac {}{}{}{}{\log ^2(\genfrac {}{}{}{}{(b e-a f) (c+d x)}{(d e-c f) (a+b x)})}{(a+b x) (e+f x)} \, dx\) [106]
\(\int \genfrac {}{}{}{}{\log ^2(\genfrac {}{}{}{}{(b e-a f) (c+d x)}{(d e-c f) (a+b x)})}{e+f x} \, dx\) [107]
\(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}) \log (\genfrac {}{}{}{}{b (e+f x)}{b e-a f})}{(a+b x) (c+d x)} \, dx\) [108]