3.3 Integrals 201 to 249

  3.3.1 \(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \text {Li}_k(e x^q)}{x} \, dx\) [201]
  3.3.2 \(\int \genfrac {}{}{}{}{\text {Li}_k(e x^q)}{x (a+b \log (c x^n))} \, dx\) [202]
  3.3.3 \(\int \genfrac {}{}{}{}{\text {Li}_k(e x^q)}{x (a+b \log (c x^n))^2} \, dx\) [203]
  3.3.4 \(\int \genfrac {}{}{}{}{\text {Li}_k(e x^q)}{x (a+b \log (c x^n))^3} \, dx\) [204]
  3.3.5 \(\int \genfrac {}{}{}{}{\log (x) \text {Li}_n(a x)}{x} \, dx\) [205]
  3.3.6 \(\int \genfrac {}{}{}{}{\log ^2(x) \text {Li}_n(a x)}{x} \, dx\) [206]
  3.3.7 \(\int (\genfrac {}{}{}{}{q \text {Li}_{-1+k}(e x^q)}{b n x (a+b \log (c x^n))}-\genfrac {}{}{}{}{\text {Li}_k(e x^q)}{x (a+b \log (c x^n))^2}) \, dx\) [207]
  3.3.8 \(\int x^2 (a+b \log (c x^n)) \text {Li}_2(e x) \, dx\) [208]
  3.3.9 \(\int x (a+b \log (c x^n)) \text {Li}_2(e x) \, dx\) [209]
  3.3.10 \(\int (a+b \log (c x^n)) \text {Li}_2(e x) \, dx\) [210]
  3.3.11 \(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \text {Li}_2(e x)}{x} \, dx\) [211]
  3.3.12 \(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \text {Li}_2(e x)}{x^2} \, dx\) [212]
  3.3.13 \(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \text {Li}_2(e x)}{x^3} \, dx\) [213]
  3.3.14 \(\int x^2 (a+b \log (c x^n)) \text {Li}_3(e x) \, dx\) [214]
  3.3.15 \(\int x (a+b \log (c x^n)) \text {Li}_3(e x) \, dx\) [215]
  3.3.16 \(\int (a+b \log (c x^n)) \text {Li}_3(e x) \, dx\) [216]
  3.3.17 \(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \text {Li}_3(e x)}{x} \, dx\) [217]
  3.3.18 \(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \text {Li}_3(e x)}{x^2} \, dx\) [218]
  3.3.19 \(\int \genfrac {}{}{}{}{(a+b \log (c x^n)) \text {Li}_3(e x)}{x^3} \, dx\) [219]
  3.3.20 \(\int -(d x)^m (a+b \log (c x^n)) \log (1-e x^q) \, dx\) [220]
  3.3.21 \(\int (d x)^m (a+b \log (c x^n)) \text {Li}_2(e x^q) \, dx\) [221]
  3.3.22 \(\int (d x)^m (a+b \log (c x^n)) \text {Li}_3(e x^q) \, dx\) [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]