3.2.1 \(\int \genfrac {}{}{}{}{(d x)^{5/2}}{a+b \log (c x^n)} \, dx\) [101]
3.2.2 \(\int \genfrac {}{}{}{}{(d x)^{3/2}}{a+b \log (c x^n)} \, dx\) [102]
3.2.3 \(\int \genfrac {}{}{}{}{\sqrt {d x}}{a+b \log (c x^n)} \, dx\) [103]
3.2.4 \(\int \genfrac {}{}{}{}{1}{\sqrt {d x} (a+b \log (c x^n))} \, dx\) [104]
3.2.5 \(\int \genfrac {}{}{}{}{1}{(d x)^{3/2} (a+b \log (c x^n))} \, dx\) [105]
3.2.6 \(\int \genfrac {}{}{}{}{1}{(d x)^{5/2} (a+b \log (c x^n))} \, dx\) [106]
3.2.7 \(\int \genfrac {}{}{}{}{(d x)^{5/2}}{(a+b \log (c x^n))^2} \, dx\) [107]
3.2.8 \(\int \genfrac {}{}{}{}{(d x)^{3/2}}{(a+b \log (c x^n))^2} \, dx\) [108]
3.2.9 \(\int \genfrac {}{}{}{}{\sqrt {d x}}{(a+b \log (c x^n))^2} \, dx\) [109]
3.2.10 \(\int \genfrac {}{}{}{}{1}{\sqrt {d x} (a+b \log (c x^n))^2} \, dx\) [110]
3.2.11 \(\int \genfrac {}{}{}{}{1}{(d x)^{3/2} (a+b \log (c x^n))^2} \, dx\) [111]
3.2.12 \(\int \genfrac {}{}{}{}{1}{(d x)^{5/2} (a+b \log (c x^n))^2} \, dx\) [112]
3.2.13 \(\int \sqrt {a+b \log (c x^n)} \, dx\) [113]
3.2.14 \(\int x^3 \sqrt {\log (a x^n)} \, dx\) [114]
3.2.15 \(\int x^2 \sqrt {\log (a x^n)} \, dx\) [115]
3.2.16 \(\int x \sqrt {\log (a x^n)} \, dx\) [116]
3.2.17 \(\int \sqrt {\log (a x^n)} \, dx\) [117]
3.2.18 \(\int \genfrac {}{}{}{}{\sqrt {\log (a x^n)}}{x} \, dx\) [118]
3.2.19 \(\int \genfrac {}{}{}{}{\sqrt {\log (a x^n)}}{x^2} \, dx\) [119]
3.2.20 \(\int \genfrac {}{}{}{}{\sqrt {\log (a x^n)}}{x^3} \, dx\) [120]
3.2.21 \(\int x^3 \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n) \, dx\) [121]
3.2.22 \(\int x^2 \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n) \, dx\) [122]
3.2.23 \(\int x \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n) \, dx\) [123]
3.2.24 \(\int \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n) \, dx\) [124]
3.2.25 \(\int \genfrac {}{}{}{}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)}{x} \, dx\) [125]
3.2.26 \(\int \genfrac {}{}{}{}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)}{x^2} \, dx\) [126]
3.2.27 \(\int \genfrac {}{}{}{}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)}{x^3} \, dx\) [127]
3.2.28 \(\int \genfrac {}{}{}{}{x^3}{\sqrt {\log (a x^n)}} \, dx\) [128]
3.2.29 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {\log (a x^n)}} \, dx\) [129]
3.2.30 \(\int \genfrac {}{}{}{}{x}{\sqrt {\log (a x^n)}} \, dx\) [130]
3.2.31 \(\int \genfrac {}{}{}{}{1}{\sqrt {\log (a x^n)}} \, dx\) [131]
3.2.32 \(\int \genfrac {}{}{}{}{1}{x \sqrt {\log (a x^n)}} \, dx\) [132]
3.2.33 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {\log (a x^n)}} \, dx\) [133]
3.2.34 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {\log (a x^n)}} \, dx\) [134]
3.2.35 \(\int \genfrac {}{}{}{}{x^3}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [135]
3.2.36 \(\int \genfrac {}{}{}{}{x^2}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [136]
3.2.37 \(\int \genfrac {}{}{}{}{x}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [137]
3.2.38 \(\int \genfrac {}{}{}{}{1}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [138]
3.2.39 \(\int \genfrac {}{}{}{}{1}{x \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [139]
3.2.40 \(\int \genfrac {}{}{}{}{1}{x^2 \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [140]
3.2.41 \(\int \genfrac {}{}{}{}{1}{x^3 \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [141]
3.2.42 \(\int \genfrac {}{}{}{}{x^3}{\log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [142]
3.2.43 \(\int \genfrac {}{}{}{}{x^2}{\log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [143]
3.2.44 \(\int \genfrac {}{}{}{}{x}{\log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [144]
3.2.45 \(\int \genfrac {}{}{}{}{1}{\log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [145]
3.2.46 \(\int \genfrac {}{}{}{}{1}{x \log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [146]
3.2.47 \(\int \genfrac {}{}{}{}{1}{x^2 \log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [147]
3.2.48 \(\int \genfrac {}{}{}{}{1}{x^3 \log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [148]
3.2.49 \(\int (d x)^m (a+\genfrac {}{}{}{}{a (1+m) \log (c x^n)}{n}) \, dx\) [149]
3.2.50 \(\int (d x)^m (a+b \log (c x^n))^3 \, dx\) [150]
3.2.51 \(\int (d x)^m (a+b \log (c x^n))^2 \, dx\) [151]
3.2.52 \(\int (d x)^m (a+b \log (c x^n)) \, dx\) [152]
3.2.53 \(\int \genfrac {}{}{}{}{(d x)^m}{a+b \log (c x^n)} \, dx\) [153]
3.2.54 \(\int \genfrac {}{}{}{}{(d x)^m}{(a+b \log (c x^n))^2} \, dx\) [154]
3.2.55 \(\int \genfrac {}{}{}{}{(d x)^m}{(a+b \log (c x^n))^3} \, dx\) [155]
3.2.56 \(\int (d x)^{-1+n} \log ^3(c x^n) \, dx\) [156]
3.2.57 \(\int (d x)^{-1+n} \log ^2(c x^n) \, dx\) [157]
3.2.58 \(\int (d x)^{-1+n} \log (c x^n) \, dx\) [158]
3.2.59 \(\int \genfrac {}{}{}{}{(d x)^{-1+n}}{\log (c x^n)} \, dx\) [159]
3.2.60 \(\int \genfrac {}{}{}{}{(d x)^{-1+n}}{\log ^2(c x^n)} \, dx\) [160]
3.2.61 \(\int \genfrac {}{}{}{}{(d x)^{-1+n}}{\log ^3(c x^n)} \, dx\) [161]
3.2.62 \(\int x^m \log ^{\genfrac {}{}{}{}{3}{2}}(a x^n) \, dx\) [162]
3.2.63 \(\int x^m \sqrt {\log (a x^n)} \, dx\) [163]
3.2.64 \(\int \genfrac {}{}{}{}{x^m}{\sqrt {\log (a x^n)}} \, dx\) [164]
3.2.65 \(\int \genfrac {}{}{}{}{x^m}{\log ^{\genfrac {}{}{}{}{3}{2}}(a x^n)} \, dx\) [165]
3.2.66 \(\int \genfrac {}{}{}{}{x^m}{\log ^{\genfrac {}{}{}{}{5}{2}}(a x^n)} \, dx\) [166]
3.2.67 \(\int (d x)^m (a+b \log (c x^n))^p \, dx\) [167]
3.2.68 \(\int x^2 (a+b \log (c x^n))^p \, dx\) [168]
3.2.69 \(\int x (a+b \log (c x^n))^p \, dx\) [169]
3.2.70 \(\int (a+b \log (c x^n))^p \, dx\) [170]
3.2.71 \(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^p}{x} \, dx\) [171]
3.2.72 \(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^p}{x^2} \, dx\) [172]
3.2.73 \(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^p}{x^3} \, dx\) [173]
3.2.74 \(\int \genfrac {}{}{}{}{(a+b \log (c x^n))^p}{x^4} \, dx\) [174]
3.2.75 \(\int (d x)^m (a+b \log (c x))^p \, dx\) [175]
3.2.76 \(\int x^2 (a+b \log (c x))^p \, dx\) [176]
3.2.77 \(\int x (a+b \log (c x))^p \, dx\) [177]
3.2.78 \(\int (a+b \log (c x))^p \, dx\) [178]
3.2.79 \(\int \genfrac {}{}{}{}{(a+b \log (c x))^p}{x} \, dx\) [179]
3.2.80 \(\int \genfrac {}{}{}{}{(a+b \log (c x))^p}{x^2} \, dx\) [180]
3.2.81 \(\int \genfrac {}{}{}{}{(a+b \log (c x))^p}{x^3} \, dx\) [181]
3.2.82 \(\int \genfrac {}{}{}{}{(a+b \log (c x))^p}{x^4} \, dx\) [182]
3.2.83 \(\int (d x)^m (a+b \log (c \sqrt {x}))^p \, dx\) [183]
3.2.84 \(\int x^2 (a+b \log (c \sqrt {x}))^p \, dx\) [184]
3.2.85 \(\int x (a+b \log (c \sqrt {x}))^p \, dx\) [185]
3.2.86 \(\int (a+b \log (c \sqrt {x}))^p \, dx\) [186]
3.2.87 \(\int \genfrac {}{}{}{}{(a+b \log (c \sqrt {x}))^p}{x} \, dx\) [187]
3.2.88 \(\int \genfrac {}{}{}{}{(a+b \log (c \sqrt {x}))^p}{x^2} \, dx\) [188]
3.2.89 \(\int \genfrac {}{}{}{}{(a+b \log (c \sqrt {x}))^p}{x^3} \, dx\) [189]
3.2.90 \(\int \genfrac {}{}{}{}{(a+b \log (c \sqrt {x}))^p}{x^4} \, dx\) [190]
3.2.91 \(\int x^{-1+n} (a+b \log (c x^n))^p \, dx\) [191]
3.2.92 \(\int (d x^q)^m (a+b \log (c x^n))^p \, dx\) [192]
3.2.93 \(\int (\text {d1} x^{\text {q1}})^{\text {m1}} (\text {d2} x^{\text {q2}})^{\text {m2}} (a+b \log (c x^n))^p \, dx\) [193]