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3.3
Integrals 201 to 249
3.3.1
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \operatorname {PolyLog}(k,e x^q)}{x} \, dx\) [201]
3.3.2
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(k,e x^q)}{x (a+b \log (c x^n))} \, dx\) [202]
3.3.3
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(k,e x^q)}{x (a+b \log (c x^n))^2} \, dx\) [203]
3.3.4
\(\int \genfrac {}{}{}{}{\operatorname {PolyLog}(k,e x^q)}{x (a+b \log (c x^n))^3} \, dx\) [204]
3.3.5
\(\int \genfrac {}{}{}{}{\log (x) \operatorname {PolyLog}(n,a x)}{x} \, dx\) [205]
3.3.6
\(\int \genfrac {}{}{}{}{\log ^2(x) \operatorname {PolyLog}(n,a x)}{x} \, dx\) [206]
3.3.7
\(\int (\genfrac {}{}{}{}{q \operatorname {PolyLog}(-1+k,e x^q)}{b n x (a+b \log (c x^n))}-\genfrac {}{}{}{}{\operatorname {PolyLog}(k,e x^q)}{x (a+b \log (c x^n))^2}) \, dx\) [207]
3.3.8
\(\int x^2 (a+b \log (c x^n)) \operatorname {PolyLog}(2,e x) \, dx\) [208]
3.3.9
\(\int x (a+b \log (c x^n)) \operatorname {PolyLog}(2,e x) \, dx\) [209]
3.3.10
\(\int (a+b \log (c x^n)) \operatorname {PolyLog}(2,e x) \, dx\) [210]
3.3.11
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \operatorname {PolyLog}(2,e x)}{x} \, dx\) [211]
3.3.12
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \operatorname {PolyLog}(2,e x)}{x^2} \, dx\) [212]
3.3.13
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \operatorname {PolyLog}(2,e x)}{x^3} \, dx\) [213]
3.3.14
\(\int x^2 (a+b \log (c x^n)) \operatorname {PolyLog}(3,e x) \, dx\) [214]
3.3.15
\(\int x (a+b \log (c x^n)) \operatorname {PolyLog}(3,e x) \, dx\) [215]
3.3.16
\(\int (a+b \log (c x^n)) \operatorname {PolyLog}(3,e x) \, dx\) [216]
3.3.17
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \operatorname {PolyLog}(3,e x)}{x} \, dx\) [217]
3.3.18
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \operatorname {PolyLog}(3,e x)}{x^2} \, dx\) [218]
3.3.19
\(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \operatorname {PolyLog}(3,e x)}{x^3} \, dx\) [219]
3.3.20
\(\int -(d x)^m (a+b \log (c x^n)) \log (1-e x^q) \, dx\) [220]
3.3.21
\(\int (d x)^m (a+b \log (c x^n)) \operatorname {PolyLog}(2,e x^q) \, dx\) [221]
3.3.22
\(\int (d x)^m (a+b \log (c x^n)) \operatorname {PolyLog}(3,e x^q) \, dx\) [222]
3.3.23
\(\int x^2 \log (c (b x^n)^p) \, dx\) [223]
3.3.24
\(\int x \log (c (b x^n)^p) \, dx\) [224]
3.3.25
\(\int \log (c (b x^n)^p) \, dx\) [225]
3.3.26
\(\int \genfrac {}{}{}{}{\log (c (b x^n)^p)}{x} \, dx\) [226]
3.3.27
\(\int \genfrac {}{}{}{}{\log (c (b x^n)^p)}{x^2} \, dx\) [227]
3.3.28
\(\int \genfrac {}{}{}{}{\log (c (b x^n)^p)}{x^3} \, dx\) [228]
3.3.29
\(\int \genfrac {}{}{}{}{\log (c (b x^n)^p)}{x^4} \, dx\) [229]
3.3.30
\(\int x^2 \log ^2(c (b x^n)^p) \, dx\) [230]
3.3.31
\(\int x \log ^2(c (b x^n)^p) \, dx\) [231]
3.3.32
\(\int \log ^2(c (b x^n)^p) \, dx\) [232]
3.3.33
\(\int \genfrac {}{}{}{}{\log ^2(c (b x^n)^p)}{x} \, dx\) [233]
3.3.34
\(\int \genfrac {}{}{}{}{\log ^2(c (b x^n)^p)}{x^2} \, dx\) [234]
3.3.35
\(\int \genfrac {}{}{}{}{\log ^2(c (b x^n)^p)}{x^3} \, dx\) [235]
3.3.36
\(\int \genfrac {}{}{}{}{\log ^2(c (b x^n)^p)}{x^4} \, dx\) [236]
3.3.37
\(\int (e x)^q (a+b \log (c (d x^m)^n))^3 \, dx\) [237]
3.3.38
\(\int (e x)^q (a+b \log (c (d x^m)^n))^2 \, dx\) [238]
3.3.39
\(\int (e x)^q (a+b \log (c (d x^m)^n)) \, dx\) [239]
3.3.40
\(\int \genfrac {}{}{}{}{(e x)^q}{a+b \log (c (d x^m)^n)} \, dx\) [240]
3.3.41
\(\int \genfrac {}{}{}{}{(e x)^q}{(a+b \log (c (d x^m)^n))^2} \, dx\) [241]
3.3.42
\(\int (e x)^q (a+b \log (c (d x^m)^n))^p \, dx\) [242]
3.3.43
\(\int x^2 (a+b \log (c (d x^m)^n))^p \, dx\) [243]
3.3.44
\(\int x (a+b \log (c (d x^m)^n))^p \, dx\) [244]
3.3.45
\(\int (a+b \log (c (d x^m)^n))^p \, dx\) [245]
3.3.46
\(\int \genfrac {}{}{}{}{(a+b \log (c (d x^m)^n))^p}{x} \, dx\) [246]
3.3.47
\(\int \genfrac {}{}{}{}{(a+b \log (c (d x^m)^n))^p}{x^2} \, dx\) [247]
3.3.48
\(\int \genfrac {}{}{}{}{(a+b \log (c (d x^m)^n))^p}{x^3} \, dx\) [248]
3.3.49
\(\int \genfrac {}{}{}{}{a+b \log (c (d x^m)^n)}{e+f x^2} \, dx\) [249]
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