3.2 Integrals 101 to 193

   \(\int \genfrac {}{}{}{}{(d x)^{5/2}}{a+b \log (c x^n)} \, dx\) [101]
   \(\int \genfrac {}{}{}{}{(d x)^{3/2}}{a+b \log (c x^n)} \, dx\) [102]
   \(\int \genfrac {}{}{}{}{\sqrt {d x}}{a+b \log (c x^n)} \, dx\) [103]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {d x} (a+b \log (c x^n))} \, dx\) [104]
   \(\int \genfrac {}{}{}{}{1}{(d x)^{3/2} (a+b \log (c x^n))} \, dx\) [105]
   \(\int \genfrac {}{}{}{}{1}{(d x)^{5/2} (a+b \log (c x^n))} \, dx\) [106]
   \(\int \genfrac {}{}{}{}{(d x)^{5/2}}{(a+b \log (c x^n))^2} \, dx\) [107]
   \(\int \genfrac {}{}{}{}{(d x)^{3/2}}{(a+b \log (c x^n))^2} \, dx\) [108]
   \(\int \genfrac {}{}{}{}{\sqrt {d x}}{(a+b \log (c x^n))^2} \, dx\) [109]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {d x} (a+b \log (c x^n))^2} \, dx\) [110]
   \(\int \genfrac {}{}{}{}{1}{(d x)^{3/2} (a+b \log (c x^n))^2} \, dx\) [111]
   \(\int \genfrac {}{}{}{}{1}{(d x)^{5/2} (a+b \log (c x^n))^2} \, dx\) [112]
   \(\int \sqrt {a+b \log (c x^n)} \, dx\) [113]
   \(\int x^3 \sqrt {\log (a x^n)} \, dx\) [114]
   \(\int x^2 \sqrt {\log (a x^n)} \, dx\) [115]
   \(\int x \sqrt {\log (a x^n)} \, dx\) [116]
   \(\int \sqrt {\log (a x^n)} \, dx\) [117]
   \(\int \genfrac {}{}{}{}{\sqrt {\log (a x^n)}}{x} \, dx\) [118]
   \(\int \genfrac {}{}{}{}{\sqrt {\log (a x^n)}}{x^2} \, dx\) [119]
   \(\int \genfrac {}{}{}{}{\sqrt {\log (a x^n)}}{x^3} \, dx\) [120]
   \(\int x^3 \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n) \, dx\) [121]
   \(\int x^2 \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n) \, dx\) [122]
   \(\int x \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n) \, dx\) [123]
   \(\int \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n) \, dx\) [124]
   \(\int \genfrac {}{}{}{}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)}{x} \, dx\) [125]
   \(\int \genfrac {}{}{}{}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)}{x^2} \, dx\) [126]
   \(\int \genfrac {}{}{}{}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)}{x^3} \, dx\) [127]
   \(\int \genfrac {}{}{}{}{x^3}{\sqrt {\log (a x^n)}} \, dx\) [128]
   \(\int \genfrac {}{}{}{}{x^2}{\sqrt {\log (a x^n)}} \, dx\) [129]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {\log (a x^n)}} \, dx\) [130]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {\log (a x^n)}} \, dx\) [131]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {\log (a x^n)}} \, dx\) [132]
   \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {\log (a x^n)}} \, dx\) [133]
   \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {\log (a x^n)}} \, dx\) [134]
   \(\int \genfrac {}{}{}{}{x^3}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [135]
   \(\int \genfrac {}{}{}{}{x^2}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [136]
   \(\int \genfrac {}{}{}{}{x}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [137]
   \(\int \genfrac {}{}{}{}{1}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [138]
   \(\int \genfrac {}{}{}{}{1}{x \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [139]
   \(\int \genfrac {}{}{}{}{1}{x^2 \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [140]
   \(\int \genfrac {}{}{}{}{1}{x^3 \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [141]
   \(\int \genfrac {}{}{}{}{x^3}{\log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [142]
   \(\int \genfrac {}{}{}{}{x^2}{\log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [143]
   \(\int \genfrac {}{}{}{}{x}{\log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [144]
   \(\int \genfrac {}{}{}{}{1}{\log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [145]
   \(\int \genfrac {}{}{}{}{1}{x \log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [146]
   \(\int \genfrac {}{}{}{}{1}{x^2 \log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [147]
   \(\int \genfrac {}{}{}{}{1}{x^3 \log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [148]
   \(\int (d x)^m (a+\genfrac {}{}{}{}{a (1+m) \log (c x^n)}{n}) \, dx\) [149]
   \(\int (d x)^m (a+b \log (c x^n))^3 \, dx\) [150]
   \(\int (d x)^m (a+b \log (c x^n))^2 \, dx\) [151]
   \(\int (d x)^m (a+b \log (c x^n)) \, dx\) [152]
   \(\int \genfrac {}{}{}{}{(d x)^m}{a+b \log (c x^n)} \, dx\) [153]
   \(\int \genfrac {}{}{}{}{(d x)^m}{(a+b \log (c x^n))^2} \, dx\) [154]
   \(\int \genfrac {}{}{}{}{(d x)^m}{(a+b \log (c x^n))^3} \, dx\) [155]
   \(\int (d x)^{-1+n} \log ^3(c x^n) \, dx\) [156]
   \(\int (d x)^{-1+n} \log ^2(c x^n) \, dx\) [157]
   \(\int (d x)^{-1+n} \log (c x^n) \, dx\) [158]
   \(\int \genfrac {}{}{}{}{(d x)^{-1+n}}{\log (c x^n)} \, dx\) [159]
   \(\int \genfrac {}{}{}{}{(d x)^{-1+n}}{\log ^2(c x^n)} \, dx\) [160]
   \(\int \genfrac {}{}{}{}{(d x)^{-1+n}}{\log ^3(c x^n)} \, dx\) [161]
   \(\int x^m \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n) \, dx\) [162]
   \(\int x^m \sqrt {\log (a x^n)} \, dx\) [163]
   \(\int \genfrac {}{}{}{}{x^m}{\sqrt {\log (a x^n)}} \, dx\) [164]
   \(\int \genfrac {}{}{}{}{x^m}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [165]
   \(\int \genfrac {}{}{}{}{x^m}{\log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [166]
   \(\int (d x)^m (a+b \log (c x^n))^p \, dx\) [167]
   \(\int x^2 (a+b \log (c x^n))^p \, dx\) [168]
   \(\int x (a+b \log (c x^n))^p \, dx\) [169]
   \(\int (a+b \log (c x^n))^p \, dx\) [170]
   \(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^p}{x} \, dx\) [171]
   \(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^p}{x^2} \, dx\) [172]
   \(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^p}{x^3} \, dx\) [173]
   \(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^p}{x^4} \, dx\) [174]
   \(\int (d x)^m (a+b \log (c x))^p \, dx\) [175]
   \(\int x^2 (a+b \log (c x))^p \, dx\) [176]
   \(\int x (a+b \log (c x))^p \, dx\) [177]
   \(\int (a+b \log (c x))^p \, dx\) [178]
   \(\int \genfrac {}{}{}{}{(a+b \log (c x))^p}{x} \, dx\) [179]
   \(\int \genfrac {}{}{}{}{(a+b \log (c x))^p}{x^2} \, dx\) [180]
   \(\int \genfrac {}{}{}{}{(a+b \log (c x))^p}{x^3} \, dx\) [181]
   \(\int \genfrac {}{}{}{}{(a+b \log (c x))^p}{x^4} \, dx\) [182]
   \(\int (d x)^m (a+b \log (c \sqrt {x}))^p \, dx\) [183]
   \(\int x^2 (a+b \log (c \sqrt {x}))^p \, dx\) [184]
   \(\int x (a+b \log (c \sqrt {x}))^p \, dx\) [185]
   \(\int (a+b \log (c \sqrt {x}))^p \, dx\) [186]
   \(\int \genfrac {}{}{}{}{(a+b \log (c \sqrt {x}))^p}{x} \, dx\) [187]
   \(\int \genfrac {}{}{}{}{(a+b \log (c \sqrt {x}))^p}{x^2} \, dx\) [188]
   \(\int \genfrac {}{}{}{}{(a+b \log (c \sqrt {x}))^p}{x^3} \, dx\) [189]
   \(\int \genfrac {}{}{}{}{(a+b \log (c \sqrt {x}))^p}{x^4} \, dx\) [190]
   \(\int x^{-1+n} (a+b \log (c x^n))^p \, dx\) [191]
   \(\int (d x^q)^m (a+b \log (c x^n))^p \, dx\) [192]
   \(\int (\text {d1} x^{\text {q1}})^{\text {m1}} (\text {d2} x^{\text {q2}})^{\text {m2}} (a+b \log (c x^n))^p \, dx\) [193]