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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]
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