3.3 Integrals 201 to 300

\(\int \log (a \sinh (x)) \, dx\) [201]
\(\int \log (a \sinh ^2(x)) \, dx\) [202]
\(\int \log (a \sinh ^n(x)) \, dx\) [203]
\(\int \log (a \cosh (x)) \, dx\) [204]
\(\int \log (a \cosh ^2(x)) \, dx\) [205]
\(\int \log (a \cosh ^n(x)) \, dx\) [206]
\(\int \log (\tanh (x)) \, dx\) [207]
\(\int \log (a \tanh (x)) \, dx\) [208]
\(\int \log (a \tanh ^2(x)) \, dx\) [209]
\(\int \log (a \tanh ^n(x)) \, dx\) [210]
\(\int \log (\coth (x)) \, dx\) [211]
\(\int \log (a \coth (x)) \, dx\) [212]
\(\int \log (a \coth ^2(x)) \, dx\) [213]
\(\int \log (a \coth ^n(x)) \, dx\) [214]
\(\int \log (a \text {sech}(x)) \, dx\) [215]
\(\int \log (a \text {sech}^2(x)) \, dx\) [216]
\(\int \log (a \text {sech}^n(x)) \, dx\) [217]
\(\int \log (a \text {csch}(x)) \, dx\) [218]
\(\int \log (a \text {csch}^2(x)) \, dx\) [219]
\(\int \log (a \text {csch}^n(x)) \, dx\) [220]
\(\int \cosh (a+b x) \log (\cosh (\genfrac {}{}{}{}{a}{2}+\genfrac {}{}{}{}{b x}{2}) \sinh (\genfrac {}{}{}{}{a}{2}+\genfrac {}{}{}{}{b x}{2})) \, dx\) [221]
\(\int \log (\cosh ^2(x)) \sinh (x) \, dx\) [222]
\(\int \genfrac {}{}{}{}{\log (x)}{\sqrt {x}} \, dx\) [223]
\(\int x \log (2-3 x^2) \, dx\) [224]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {1-\log ^2(x)}} \, dx\) [225]
\(\int 16 x^3 \log ^2(x) \, dx\) [226]
\(\int \log (\sqrt {a+b x}) \, dx\) [227]
\(\int x \log (\sqrt {2+x}) \, dx\) [228]
\(\int x \log (\sqrt [3]{1+3 x}) \, dx\) [229]
\(\int x \log (x+x^3) \, dx\) [230]
\(\int \log (x+\sqrt {1+x^2}) \, dx\) [231]
\(\int \log (x+\sqrt {-1+x^2}) \, dx\) [232]
\(\int \log (x-\sqrt {-1+x^2}) \, dx\) [233]
\(\int \log (\sqrt {x}+\sqrt {1+x}) \, dx\) [234]
\(\int \sqrt [3]{x} \log (x) \, dx\) [235]
\(\int 2^{\log (x)} \, dx\) [236]
\(\int \genfrac {}{}{}{}{1-\log (x)}{x^2} \, dx\) [237]
\(\int \log (1+x+\sqrt {1+x}) \, dx\) [238]
\(\int \log (x+x^3) \, dx\) [239]
\(\int 2^{\log (-8+7 x)} \, dx\) [240]
\(\int \log (\genfrac {}{}{}{}{-11+5 x}{5+76 x}) \, dx\) [241]
\(\int \log (\genfrac {}{}{}{}{1}{13+x}) \, dx\) [242]
\(\int x \log (\genfrac {}{}{}{}{1+x}{x^2}) \, dx\) [243]
\(\int x^3 \log (\genfrac {}{}{}{}{7+5 x}{x^2}) \, dx\) [244]
\(\int (a+b x) \log (a+b x) \, dx\) [245]
\(\int (a+b x)^2 \log (a+b x) \, dx\) [246]
\(\int \genfrac {}{}{}{}{\log (a+b x)}{a+b x} \, dx\) [247]
\(\int \genfrac {}{}{}{}{\log (a+b x)}{(a+b x)^2} \, dx\) [248]
\(\int (a+b x)^n \log (a+b x) \, dx\) [249]
\(\int \genfrac {}{}{}{}{1}{a x+b x \log (c x^n)} \, dx\) [250]
\(\int \genfrac {}{}{}{}{1}{a x+b x \log ^2(c x^n)} \, dx\) [251]
\(\int \genfrac {}{}{}{}{1}{a x+b x \log ^3(c x^n)} \, dx\) [252]
\(\int \genfrac {}{}{}{}{1}{a x+b x \log ^4(c x^n)} \, dx\) [253]
\(\int \genfrac {}{}{}{}{1}{a x+\genfrac {}{}{}{}{b x}{\log (c x^n)}} \, dx\) [254]
\(\int \genfrac {}{}{}{}{1}{a x+\genfrac {}{}{}{}{b x}{\log ^2(c x^n)}} \, dx\) [255]
\(\int \genfrac {}{}{}{}{1}{a x+\genfrac {}{}{}{}{b x}{\log ^3(c x^n)}} \, dx\) [256]
\(\int \genfrac {}{}{}{}{1}{a x+\genfrac {}{}{}{}{b x}{\log ^4(c x^n)}} \, dx\) [257]
\(\int \genfrac {}{}{}{}{1}{x+x \log (7 x)+x \log ^2(7 x)} \, dx\) [258]
\(\int \genfrac {}{}{}{}{-1+\log (3 x)}{x (1-\log (3 x)+\log ^2(3 x))} \, dx\) [259]
\(\int \genfrac {}{}{}{}{-1+\log ^2(3 x)}{x+x \log ^3(3 x)} \, dx\) [260]
\(\int \genfrac {}{}{}{}{-1+\log ^2(3 x)}{x+x \log (3 x)+x \log ^2(3 x)} \, dx\) [261]
\(\int \genfrac {}{}{}{}{\log ^2(\genfrac {}{}{}{}{1}{x})}{x^5} \, dx\) [262]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-\log (a x^2)}} \, dx\) [263]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-\log (\genfrac {}{}{}{}{a}{x^2})}} \, dx\) [264]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-\log (a x^n)}} \, dx\) [265]
\(\int \genfrac {}{}{}{}{\log (1+\sqrt {x}-x)}{x} \, dx\) [266]
\(\int \genfrac {}{}{}{}{x \log (c+d x)}{a+b x} \, dx\) [267]
\(\int \genfrac {}{}{}{}{\log (x)}{-1+x} \, dx\) [268]
\(\int \genfrac {}{}{}{}{x \log (1-a-b x)}{a+b x} \, dx\) [269]
\(\int \genfrac {}{}{}{}{(b+2 c x) \log (x)}{x (b+c x)} \, dx\) [270]
\(\int (\sin (x \log (x))+\log (x) \sin (x \log (x))) \, dx\) [271]
\(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{1-(-1+x)^2}{1+(-1+x)^2})}{x^2} \, dx\) [272]
\(\int \log (\sqrt {x}+x) \, dx\) [273]
\(\int \log (-\genfrac {}{}{}{}{x}{1+x}) \, dx\) [274]
\(\int \log (\genfrac {}{}{}{}{-1+x}{1+x}) \, dx\) [275]
\(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{1-x^2}{1+x^2})}{(1+x)^2} \, dx\) [276]
\(\int \genfrac {}{}{}{}{\log (c (1+x^2)^n)}{1+x^2} \, dx\) [277]
\(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{x^2}{1+x^2})}{1+x^2} \, dx\) [278]
\(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{c x^2}{a+b x^2})}{a+b x^2} \, dx\) [279]
\(\int \genfrac {}{}{}{}{\log (1+\genfrac {}{}{}{}{i \sqrt {1-a x}}{\sqrt {1+a x}})}{1-a^2 x^2} \, dx\) [280]
\(\int \genfrac {}{}{}{}{\log (1-\genfrac {}{}{}{}{i \sqrt {1-a x}}{\sqrt {1+a x}})}{1-a^2 x^2} \, dx\) [281]
\(\int \log (e^{a+b x}) \, dx\) [282]
\(\int \log (e^{a+b x^n}) \, dx\) [283]
\(\int e^x \log (a+b e^x) \, dx\) [284]
\(\int e^{a+b x} \log (x) \, dx\) [285]
\(\int \genfrac {}{}{}{}{x^2}{x+\log (x)} \, dx\) [286]
\(\int \genfrac {}{}{}{}{x}{x+\log (x)} \, dx\) [287]
\(\int \genfrac {}{}{}{}{1}{x+\log (x)} \, dx\) [288]
\(\int \genfrac {}{}{}{}{1}{x (x+\log (x))} \, dx\) [289]
\(\int \genfrac {}{}{}{}{1}{x^2 (x+\log (x))} \, dx\) [290]
\(\int \genfrac {}{}{}{}{\log (x)}{x+4 x \log ^2(x)} \, dx\) [291]
\(\int \genfrac {}{}{}{}{1-\log (x)}{x (x+\log (x))} \, dx\) [292]
\(\int \genfrac {}{}{}{}{1+x}{\log (x) (x+\log (x))} \, dx\) [293]
\(\int \log (2+\sqrt {\genfrac {}{}{}{}{1+x}{x}}) \, dx\) [294]
\(\int \log (1+\sqrt {\genfrac {}{}{}{}{1+x}{x}}) \, dx\) [295]
\(\int \log (\sqrt {\genfrac {}{}{}{}{1+x}{x}}) \, dx\) [296]
\(\int \log (-1+\sqrt {\genfrac {}{}{}{}{1+x}{x}}) \, dx\) [297]
\(\int \log (-2+\sqrt {\genfrac {}{}{}{}{1+x}{x}}) \, dx\) [298]
\(\int (x^{a x}+x^{a x} \log (x)) \, dx\) [299]
\(\int \log ^m(x)^p \, dx\) [300]