3.3 Integrals 201 to 255

\(\int (d+e x^2) \arccos (a x)^2 \log (c x^n) \, dx\) [201]
\(\int (d+e x^2) \text {arcsinh}(a x)^2 \log (c x^n) \, dx\) [202]
\(\int (d+e x^2) \text {arccosh}(a x)^2 \log (c x^n) \, dx\) [203]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^p \operatorname {PolyLog}(k,e x^q)}{x} \, dx\) [204]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^3 \operatorname {PolyLog}(k,e x^q)}{x} \, dx\) [205]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^2 \operatorname {PolyLog}(k,e x^q)}{x} \, dx\) [206]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \operatorname {PolyLog}(k,e x^q)}{x} \, dx\) [207]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(k,e x^q)}{x (a+b \log (c x^n))} \, dx\) [208]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(k,e x^q)}{x (a+b \log (c x^n))^2} \, dx\) [209]
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(k,e x^q)}{x (a+b \log (c x^n))^3} \, dx\) [210]
\(\int \genfrac {}{}{}{}{\log (x) \operatorname {PolyLog}(n,a x)}{x} \, dx\) [211]
\(\int \genfrac {}{}{}{}{\log ^2(x) \operatorname {PolyLog}(n,a x)}{x} \, dx\) [212]
\(\int (\genfrac {}{}{}{}{q \operatorname {PolyLog}(-1+k,e x^q)}{b n x (a+b \log (c x^n))}-\genfrac {}{}{}{}{\operatorname {PolyLog}(k,e x^q)}{x (a+b \log (c x^n))^2}) \, dx\) [213]
\(\int x^2 (a+b \log (c x^n)) \operatorname {PolyLog}(2,e x) \, dx\) [214]
\(\int x (a+b \log (c x^n)) \operatorname {PolyLog}(2,e x) \, dx\) [215]
\(\int (a+b \log (c x^n)) \operatorname {PolyLog}(2,e x) \, dx\) [216]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \operatorname {PolyLog}(2,e x)}{x} \, dx\) [217]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \operatorname {PolyLog}(2,e x)}{x^2} \, dx\) [218]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \operatorname {PolyLog}(2,e x)}{x^3} \, dx\) [219]
\(\int x^2 (a+b \log (c x^n)) \operatorname {PolyLog}(3,e x) \, dx\) [220]
\(\int x (a+b \log (c x^n)) \operatorname {PolyLog}(3,e x) \, dx\) [221]
\(\int (a+b \log (c x^n)) \operatorname {PolyLog}(3,e x) \, dx\) [222]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \operatorname {PolyLog}(3,e x)}{x} \, dx\) [223]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \operatorname {PolyLog}(3,e x)}{x^2} \, dx\) [224]
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \operatorname {PolyLog}(3,e x)}{x^3} \, dx\) [225]
\(\int -(d x)^m (a+b \log (c x^n)) \log (1-e x^q) \, dx\) [226]
\(\int (d x)^m (a+b \log (c x^n)) \operatorname {PolyLog}(2,e x^q) \, dx\) [227]
\(\int (d x)^m (a+b \log (c x^n)) \operatorname {PolyLog}(3,e x^q) \, dx\) [228]
\(\int x^2 \log (c (b x^n)^p) \, dx\) [229]
\(\int x \log (c (b x^n)^p) \, dx\) [230]
\(\int \log (c (b x^n)^p) \, dx\) [231]
\(\int \genfrac {}{}{}{}{\log (c (b x^n)^p)}{x} \, dx\) [232]
\(\int \genfrac {}{}{}{}{\log (c (b x^n)^p)}{x^2} \, dx\) [233]
\(\int \genfrac {}{}{}{}{\log (c (b x^n)^p)}{x^3} \, dx\) [234]
\(\int \genfrac {}{}{}{}{\log (c (b x^n)^p)}{x^4} \, dx\) [235]
\(\int x^2 \log ^2(c (b x^n)^p) \, dx\) [236]
\(\int x \log ^2(c (b x^n)^p) \, dx\) [237]
\(\int \log ^2(c (b x^n)^p) \, dx\) [238]
\(\int \genfrac {}{}{}{}{\log ^2(c (b x^n)^p)}{x} \, dx\) [239]
\(\int \genfrac {}{}{}{}{\log ^2(c (b x^n)^p)}{x^2} \, dx\) [240]
\(\int \genfrac {}{}{}{}{\log ^2(c (b x^n)^p)}{x^3} \, dx\) [241]
\(\int \genfrac {}{}{}{}{\log ^2(c (b x^n)^p)}{x^4} \, dx\) [242]
\(\int (e x)^q (a+b \log (c (d x^m)^n))^3 \, dx\) [243]
\(\int (e x)^q (a+b \log (c (d x^m)^n))^2 \, dx\) [244]
\(\int (e x)^q (a+b \log (c (d x^m)^n)) \, dx\) [245]
\(\int \genfrac {}{}{}{}{(e x)^q}{a+b \log (c (d x^m)^n)} \, dx\) [246]
\(\int \genfrac {}{}{}{}{(e x)^q}{(a+b \log (c (d x^m)^n))^2} \, dx\) [247]
\(\int (e x)^q (a+b \log (c (d x^m)^n))^p \, dx\) [248]
\(\int x^2 (a+b \log (c (d x^m)^n))^p \, dx\) [249]
\(\int x (a+b \log (c (d x^m)^n))^p \, dx\) [250]
\(\int (a+b \log (c (d x^m)^n))^p \, dx\) [251]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d x^m)^n))^p}{x} \, dx\) [252]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d x^m)^n))^p}{x^2} \, dx\) [253]
\(\int \genfrac {}{}{}{}{(a+b \log (c (d x^m)^n))^p}{x^3} \, dx\) [254]
\(\int \genfrac {}{}{}{}{a+b \log (c (d x^m)^n)}{e+f x^2} \, dx\) [255]