3.3 Integrals 201 to 300

  3.3.1 \(\int \log (a \sinh (x)) \, dx\) [201]
  3.3.2 \(\int \log (a \sinh ^2(x)) \, dx\) [202]
  3.3.3 \(\int \log (a \sinh ^n(x)) \, dx\) [203]
  3.3.4 \(\int \log (a \cosh (x)) \, dx\) [204]
  3.3.5 \(\int \log (a \cosh ^2(x)) \, dx\) [205]
  3.3.6 \(\int \log (a \cosh ^n(x)) \, dx\) [206]
  3.3.7 \(\int \log (\tanh (x)) \, dx\) [207]
  3.3.8 \(\int \log (a \tanh (x)) \, dx\) [208]
  3.3.9 \(\int \log (a \tanh ^2(x)) \, dx\) [209]
  3.3.10 \(\int \log (a \tanh ^n(x)) \, dx\) [210]
  3.3.11 \(\int \log (\coth (x)) \, dx\) [211]
  3.3.12 \(\int \log (a \coth (x)) \, dx\) [212]
  3.3.13 \(\int \log (a \coth ^2(x)) \, dx\) [213]
  3.3.14 \(\int \log (a \coth ^n(x)) \, dx\) [214]
  3.3.15 \(\int \log (a \text {sech}(x)) \, dx\) [215]
  3.3.16 \(\int \log (a \text {sech}^2(x)) \, dx\) [216]
  3.3.17 \(\int \log (a \text {sech}^n(x)) \, dx\) [217]
  3.3.18 \(\int \log (a \text {csch}(x)) \, dx\) [218]
  3.3.19 \(\int \log (a \text {csch}^2(x)) \, dx\) [219]
  3.3.20 \(\int \log (a \text {csch}^n(x)) \, dx\) [220]
  3.3.21 \(\int \cosh (a+b x) \log (\cosh (\genfrac {}{}{}{}{a}{2}+\genfrac {}{}{}{}{b x}{2}) \sinh (\genfrac {}{}{}{}{a}{2}+\genfrac {}{}{}{}{b x}{2})) \, dx\) [221]
  3.3.22 \(\int \log (\cosh ^2(x)) \sinh (x) \, dx\) [222]
  3.3.23 \(\int \genfrac {}{}{}{}{\log (x)}{\sqrt {x}} \, dx\) [223]
  3.3.24 \(\int x \log (2-3 x^2) \, dx\) [224]
  3.3.25 \(\int \genfrac {}{}{}{}{1}{x \sqrt {1-\log ^2(x)}} \, dx\) [225]
  3.3.26 \(\int 16 x^3 \log ^2(x) \, dx\) [226]
  3.3.27 \(\int \log (\sqrt {a+b x}) \, dx\) [227]
  3.3.28 \(\int x \log (\sqrt {2+x}) \, dx\) [228]
  3.3.29 \(\int x \log (\sqrt [3]{1+3 x}) \, dx\) [229]
  3.3.30 \(\int x \log (x+x^3) \, dx\) [230]
  3.3.31 \(\int \log (x+\sqrt {1+x^2}) \, dx\) [231]
  3.3.32 \(\int \log (x+\sqrt {-1+x^2}) \, dx\) [232]
  3.3.33 \(\int \log (x-\sqrt {-1+x^2}) \, dx\) [233]
  3.3.34 \(\int \log (\sqrt {x}+\sqrt {1+x}) \, dx\) [234]
  3.3.35 \(\int \sqrt [3]{x} \log (x) \, dx\) [235]
  3.3.36 \(\int 2^{\log (x)} \, dx\) [236]
  3.3.37 \(\int \genfrac {}{}{}{}{1-\log (x)}{x^2} \, dx\) [237]
  3.3.38 \(\int \log (1+x+\sqrt {1+x}) \, dx\) [238]
  3.3.39 \(\int \log (x+x^3) \, dx\) [239]
  3.3.40 \(\int 2^{\log (-8+7 x)} \, dx\) [240]
  3.3.41 \(\int \log (\genfrac {}{}{}{}{-11+5 x}{5+76 x}) \, dx\) [241]
  3.3.42 \(\int \log (\genfrac {}{}{}{}{1}{13+x}) \, dx\) [242]
  3.3.43 \(\int x \log (\genfrac {}{}{}{}{1+x}{x^2}) \, dx\) [243]
  3.3.44 \(\int x^3 \log (\genfrac {}{}{}{}{7+5 x}{x^2}) \, dx\) [244]
  3.3.45 \(\int (a+b x) \log (a+b x) \, dx\) [245]
  3.3.46 \(\int (a+b x)^2 \log (a+b x) \, dx\) [246]
  3.3.47 \(\int \genfrac {}{}{}{}{\log (a+b x)}{a+b x} \, dx\) [247]
  3.3.48 \(\int \genfrac {}{}{}{}{\log (a+b x)}{(a+b x)^2} \, dx\) [248]
  3.3.49 \(\int (a+b x)^n \log (a+b x) \, dx\) [249]
  3.3.50 \(\int \genfrac {}{}{}{}{1}{a x+b x \log (c x^n)} \, dx\) [250]
  3.3.51 \(\int \genfrac {}{}{}{}{1}{a x+b x \log ^2(c x^n)} \, dx\) [251]
  3.3.52 \(\int \genfrac {}{}{}{}{1}{a x+b x \log ^3(c x^n)} \, dx\) [252]
  3.3.53 \(\int \genfrac {}{}{}{}{1}{a x+b x \log ^4(c x^n)} \, dx\) [253]
  3.3.54 \(\int \genfrac {}{}{}{}{1}{a x+\genfrac {}{}{}{}{b x}{\log (c x^n)}} \, dx\) [254]
  3.3.55 \(\int \genfrac {}{}{}{}{1}{a x+\genfrac {}{}{}{}{b x}{\log ^2(c x^n)}} \, dx\) [255]
  3.3.56 \(\int \genfrac {}{}{}{}{1}{a x+\genfrac {}{}{}{}{b x}{\log ^3(c x^n)}} \, dx\) [256]
  3.3.57 \(\int \genfrac {}{}{}{}{1}{a x+\genfrac {}{}{}{}{b x}{\log ^4(c x^n)}} \, dx\) [257]
  3.3.58 \(\int \genfrac {}{}{}{}{1}{x+x \log (7 x)+x \log ^2(7 x)} \, dx\) [258]
  3.3.59 \(\int \genfrac {}{}{}{}{-1+\log (3 x)}{x (1-\log (3 x)+\log ^2(3 x))} \, dx\) [259]
  3.3.60 \(\int \genfrac {}{}{}{}{-1+\log ^2(3 x)}{x+x \log ^3(3 x)} \, dx\) [260]
  3.3.61 \(\int \genfrac {}{}{}{}{-1+\log ^2(3 x)}{x+x \log (3 x)+x \log ^2(3 x)} \, dx\) [261]
  3.3.62 \(\int \genfrac {}{}{}{}{\log ^2(\genfrac {}{}{}{}{1}{x})}{x^5} \, dx\) [262]
  3.3.63 \(\int \genfrac {}{}{}{}{1}{\sqrt {-\log (a x^2)}} \, dx\) [263]
  3.3.64 \(\int \genfrac {}{}{}{}{1}{\sqrt {-\log (\genfrac {}{}{}{}{a}{x^2})}} \, dx\) [264]
  3.3.65 \(\int \genfrac {}{}{}{}{1}{\sqrt {-\log (a x^n)}} \, dx\) [265]
  3.3.66 \(\int \genfrac {}{}{}{}{\log (1+\sqrt {x}-x)}{x} \, dx\) [266]
  3.3.67 \(\int \genfrac {}{}{}{}{x \log (c+d x)}{a+b x} \, dx\) [267]
  3.3.68 \(\int \genfrac {}{}{}{}{\log (x)}{-1+x} \, dx\) [268]
  3.3.69 \(\int \genfrac {}{}{}{}{x \log (1-a-b x)}{a+b x} \, dx\) [269]
  3.3.70 \(\int \genfrac {}{}{}{}{(b+2 c x) \log (x)}{x (b+c x)} \, dx\) [270]
  3.3.71 \(\int (\sin (x \log (x))+\log (x) \sin (x \log (x))) \, dx\) [271]
  3.3.72 \(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{1-(-1+x)^2}{1+(-1+x)^2})}{x^2} \, dx\) [272]
  3.3.73 \(\int \log (\sqrt {x}+x) \, dx\) [273]
  3.3.74 \(\int \log (-\genfrac {}{}{}{}{x}{1+x}) \, dx\) [274]
  3.3.75 \(\int \log (\genfrac {}{}{}{}{-1+x}{1+x}) \, dx\) [275]
  3.3.76 \(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{1-x^2}{1+x^2})}{(1+x)^2} \, dx\) [276]
  3.3.77 \(\int \genfrac {}{}{}{}{\log (c (1+x^2)^n)}{1+x^2} \, dx\) [277]
  3.3.78 \(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{x^2}{1+x^2})}{1+x^2} \, dx\) [278]
  3.3.79 \(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{c x^2}{a+b x^2})}{a+b x^2} \, dx\) [279]
  3.3.80 \(\int \genfrac {}{}{}{}{\log (1+\genfrac {}{}{}{}{i \sqrt {1-a x}}{\sqrt {1+a x}})}{1-a^2 x^2} \, dx\) [280]
  3.3.81 \(\int \genfrac {}{}{}{}{\log (1-\genfrac {}{}{}{}{i \sqrt {1-a x}}{\sqrt {1+a x}})}{1-a^2 x^2} \, dx\) [281]
  3.3.82 \(\int \log (e^{a+b x}) \, dx\) [282]
  3.3.83 \(\int \log (e^{a+b x^n}) \, dx\) [283]
  3.3.84 \(\int e^x \log (a+b e^x) \, dx\) [284]
  3.3.85 \(\int e^{a+b x} \log (x) \, dx\) [285]
  3.3.86 \(\int \genfrac {}{}{}{}{x^2}{x+\log (x)} \, dx\) [286]
  3.3.87 \(\int \genfrac {}{}{}{}{x}{x+\log (x)} \, dx\) [287]
  3.3.88 \(\int \genfrac {}{}{}{}{1}{x+\log (x)} \, dx\) [288]
  3.3.89 \(\int \genfrac {}{}{}{}{1}{x (x+\log (x))} \, dx\) [289]
  3.3.90 \(\int \genfrac {}{}{}{}{1}{x^2 (x+\log (x))} \, dx\) [290]
  3.3.91 \(\int \genfrac {}{}{}{}{\log (x)}{x+4 x \log ^2(x)} \, dx\) [291]
  3.3.92 \(\int \genfrac {}{}{}{}{1-\log (x)}{x (x+\log (x))} \, dx\) [292]
  3.3.93 \(\int \genfrac {}{}{}{}{1+x}{\log (x) (x+\log (x))} \, dx\) [293]
  3.3.94 \(\int \log (2+\sqrt {\genfrac {}{}{}{}{1+x}{x}}) \, dx\) [294]
  3.3.95 \(\int \log (1+\sqrt {\genfrac {}{}{}{}{1+x}{x}}) \, dx\) [295]
  3.3.96 \(\int \log (\sqrt {\genfrac {}{}{}{}{1+x}{x}}) \, dx\) [296]
  3.3.97 \(\int \log (-1+\sqrt {\genfrac {}{}{}{}{1+x}{x}}) \, dx\) [297]
  3.3.98 \(\int \log (-2+\sqrt {\genfrac {}{}{}{}{1+x}{x}}) \, dx\) [298]
  3.3.99 \(\int (x^{a x}+x^{a x} \log (x)) \, dx\) [299]
  3.3.100 \(\int \log ^m(x)^p \, dx\) [300]