3.3 Integrals 201 to 300

  3.3.1 \(\int \genfrac {}{}{}{}{\cosh ^3(x)}{(a+b \sinh (x))^2} \, dx\) [201]
  3.3.2 \(\int \genfrac {}{}{}{}{\cosh ^2(x)}{(a+b \sinh (x))^2} \, dx\) [202]
  3.3.3 \(\int \genfrac {}{}{}{}{\cosh (x)}{(a+b \sinh (x))^2} \, dx\) [203]
  3.3.4 \(\int \genfrac {}{}{}{}{\text {sech}(x)}{(a+b \sinh (x))^2} \, dx\) [204]
  3.3.5 \(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{(a+b \sinh (x))^2} \, dx\) [205]
  3.3.6 \(\int \genfrac {}{}{}{}{\text {sech}^3(x)}{(a+b \sinh (x))^2} \, dx\) [206]
  3.3.7 \(\int \genfrac {}{}{}{}{\text {sech}^4(x)}{(a+b \sinh (x))^2} \, dx\) [207]
  3.3.8 \(\int \genfrac {}{}{}{}{\tanh ^4(x)}{i+\sinh (x)} \, dx\) [208]
  3.3.9 \(\int \genfrac {}{}{}{}{\tanh ^3(x)}{i+\sinh (x)} \, dx\) [209]
  3.3.10 \(\int \genfrac {}{}{}{}{\tanh ^2(x)}{i+\sinh (x)} \, dx\) [210]
  3.3.11 \(\int \genfrac {}{}{}{}{\tanh (x)}{i+\sinh (x)} \, dx\) [211]
  3.3.12 \(\int \genfrac {}{}{}{}{\coth (x)}{i+\sinh (x)} \, dx\) [212]
  3.3.13 \(\int \genfrac {}{}{}{}{\coth ^2(x)}{i+\sinh (x)} \, dx\) [213]
  3.3.14 \(\int \genfrac {}{}{}{}{\coth ^3(x)}{i+\sinh (x)} \, dx\) [214]
  3.3.15 \(\int \genfrac {}{}{}{}{\coth ^4(x)}{i+\sinh (x)} \, dx\) [215]
  3.3.16 \(\int \genfrac {}{}{}{}{\coth ^5(x)}{i+\sinh (x)} \, dx\) [216]
  3.3.17 \(\int \genfrac {}{}{}{}{\coth ^6(x)}{i+\sinh (x)} \, dx\) [217]
  3.3.18 \(\int \genfrac {}{}{}{}{\tanh ^4(x)}{(i+\sinh (x))^2} \, dx\) [218]
  3.3.19 \(\int \genfrac {}{}{}{}{\tanh ^3(x)}{(i+\sinh (x))^2} \, dx\) [219]
  3.3.20 \(\int \genfrac {}{}{}{}{\tanh ^2(x)}{(i+\sinh (x))^2} \, dx\) [220]
  3.3.21 \(\int \genfrac {}{}{}{}{\tanh (x)}{(i+\sinh (x))^2} \, dx\) [221]
  3.3.22 \(\int \genfrac {}{}{}{}{\coth (x)}{(i+\sinh (x))^2} \, dx\) [222]
  3.3.23 \(\int \genfrac {}{}{}{}{\coth ^2(x)}{(i+\sinh (x))^2} \, dx\) [223]
  3.3.24 \(\int \genfrac {}{}{}{}{\coth ^3(x)}{(i+\sinh (x))^2} \, dx\) [224]
  3.3.25 \(\int \genfrac {}{}{}{}{\coth ^4(x)}{(i+\sinh (x))^2} \, dx\) [225]
  3.3.26 \(\int \genfrac {}{}{}{}{\coth ^5(x)}{(i+\sinh (x))^2} \, dx\) [226]
  3.3.27 \(\int \genfrac {}{}{}{}{\coth ^6(x)}{(i+\sinh (x))^2} \, dx\) [227]
  3.3.28 \(\int \genfrac {}{}{}{}{\tanh ^4(x)}{a+b \sinh (x)} \, dx\) [228]
  3.3.29 \(\int \genfrac {}{}{}{}{\tanh ^3(x)}{a+b \sinh (x)} \, dx\) [229]
  3.3.30 \(\int \genfrac {}{}{}{}{\tanh ^2(x)}{a+b \sinh (x)} \, dx\) [230]
  3.3.31 \(\int \genfrac {}{}{}{}{\tanh (x)}{a+b \sinh (x)} \, dx\) [231]
  3.3.32 \(\int \genfrac {}{}{}{}{\coth (x)}{a+b \sinh (x)} \, dx\) [232]
  3.3.33 \(\int \genfrac {}{}{}{}{\coth ^2(x)}{a+b \sinh (x)} \, dx\) [233]
  3.3.34 \(\int \genfrac {}{}{}{}{\coth ^3(x)}{a+b \sinh (x)} \, dx\) [234]
  3.3.35 \(\int \genfrac {}{}{}{}{\coth ^4(x)}{a+b \sinh (x)} \, dx\) [235]
  3.3.36 \(\int \genfrac {}{}{}{}{\tanh ^4(x)}{(a+b \sinh (x))^2} \, dx\) [236]
  3.3.37 \(\int \genfrac {}{}{}{}{\tanh ^3(x)}{(a+b \sinh (x))^2} \, dx\) [237]
  3.3.38 \(\int \genfrac {}{}{}{}{\tanh ^2(x)}{(a+b \sinh (x))^2} \, dx\) [238]
  3.3.39 \(\int \genfrac {}{}{}{}{\tanh (x)}{(a+b \sinh (x))^2} \, dx\) [239]
  3.3.40 \(\int \genfrac {}{}{}{}{\coth (x)}{(a+b \sinh (x))^2} \, dx\) [240]
  3.3.41 \(\int \genfrac {}{}{}{}{\coth ^2(x)}{(a+b \sinh (x))^2} \, dx\) [241]
  3.3.42 \(\int \genfrac {}{}{}{}{\coth ^3(x)}{(a+b \sinh (x))^2} \, dx\) [242]
  3.3.43 \(\int \genfrac {}{}{}{}{\coth ^4(x)}{(a+b \sinh (x))^2} \, dx\) [243]
  3.3.44 \(\int \coth (x) \sqrt {a+b \sinh (x)} \, dx\) [244]
  3.3.45 \(\int \genfrac {}{}{}{}{\coth (x)}{\sqrt {a+b \sinh (x)}} \, dx\) [245]
  3.3.46 \(\int \genfrac {}{}{}{}{A+B \cosh (x)}{a+b \sinh (x)} \, dx\) [246]
  3.3.47 \(\int \genfrac {}{}{}{}{A+B \cosh (x)}{i+\sinh (x)} \, dx\) [247]
  3.3.48 \(\int \genfrac {}{}{}{}{A+B \cosh (x)}{i-\sinh (x)} \, dx\) [248]
  3.3.49 \(\int \genfrac {}{}{}{}{A+B \tanh (x)}{a+b \sinh (x)} \, dx\) [249]
  3.3.50 \(\int \genfrac {}{}{}{}{A+B \coth (x)}{a+b \sinh (x)} \, dx\) [250]
  3.3.51 \(\int \genfrac {}{}{}{}{A+B \text {sech}(x)}{a+b \sinh (x)} \, dx\) [251]
  3.3.52 \(\int \genfrac {}{}{}{}{A+B \text {csch}(x)}{a+b \sinh (x)} \, dx\) [252]
  3.3.53 \(\int \genfrac {}{}{}{}{A+B \cosh (d+e x)+C \sinh (d+e x)}{a+c \sinh (d+e x)} \, dx\) [253]
  3.3.54 \(\int \genfrac {}{}{}{}{A+B \cosh (d+e x)+C \sinh (d+e x)}{(a+c \sinh (d+e x))^2} \, dx\) [254]
  3.3.55 \(\int \genfrac {}{}{}{}{A+B \cosh (d+e x)+C \sinh (d+e x)}{(a+c \sinh (d+e x))^3} \, dx\) [255]
  3.3.56 \(\int \genfrac {}{}{}{}{A+B \cosh (d+e x)+C \sinh (d+e x)}{(a+c \sinh (d+e x))^4} \, dx\) [256]
  3.3.57 \(\int \genfrac {}{}{}{}{x^3}{a+b \sinh ^2(x)} \, dx\) [257]
  3.3.58 \(\int \genfrac {}{}{}{}{x^2}{a+b \sinh ^2(x)} \, dx\) [258]
  3.3.59 \(\int \genfrac {}{}{}{}{x}{a+b \sinh ^2(x)} \, dx\) [259]
  3.3.60 \(\int \genfrac {}{}{}{}{\cosh (a+b x) (-2+\sinh ^2(a+b x))}{x} \, dx\) [260]
  3.3.61 \(\int \genfrac {}{}{}{}{\sinh ^3(\genfrac {}{}{}{}{\sqrt {1-a x}}{\sqrt {1+a x}})}{1-a^2 x^2} \, dx\) [261]
  3.3.62 \(\int \genfrac {}{}{}{}{\sinh ^2(\genfrac {}{}{}{}{\sqrt {1-a x}}{\sqrt {1+a x}})}{1-a^2 x^2} \, dx\) [262]
  3.3.63 \(\int \genfrac {}{}{}{}{\sinh (\genfrac {}{}{}{}{\sqrt {1-a x}}{\sqrt {1+a x}})}{1-a^2 x^2} \, dx\) [263]
  3.3.64 \(\int \genfrac {}{}{}{}{\text {csch}(\genfrac {}{}{}{}{\sqrt {1-a x}}{\sqrt {1+a x}})}{1-a^2 x^2} \, dx\) [264]
  3.3.65 \(\int \genfrac {}{}{}{}{\text {csch}^2(\genfrac {}{}{}{}{\sqrt {1-a x}}{\sqrt {1+a x}})}{1-a^2 x^2} \, dx\) [265]
  3.3.66 \(\int \sinh (a+b \log (c x^n)) \, dx\) [266]
  3.3.67 \(\int \sinh ^2(a+b \log (c x^n)) \, dx\) [267]
  3.3.68 \(\int \sinh ^3(a+b \log (c x^n)) \, dx\) [268]
  3.3.69 \(\int \sinh ^4(a+b \log (c x^n)) \, dx\) [269]
  3.3.70 \(\int x^m \sinh (a+b \log (c x^n)) \, dx\) [270]
  3.3.71 \(\int x^m \sinh ^2(a+b \log (c x^n)) \, dx\) [271]
  3.3.72 \(\int x^m \sinh ^3(a+b \log (c x^n)) \, dx\) [272]
  3.3.73 \(\int x^m \sinh ^4(a+b \log (c x^n)) \, dx\) [273]
  3.3.74 \(\int \genfrac {}{}{}{}{\sinh (a+b \log (c x^n))}{x} \, dx\) [274]
  3.3.75 \(\int \genfrac {}{}{}{}{\sinh ^2(a+b \log (c x^n))}{x} \, dx\) [275]
  3.3.76 \(\int \genfrac {}{}{}{}{\sinh ^3(a+b \log (c x^n))}{x} \, dx\) [276]
  3.3.77 \(\int \genfrac {}{}{}{}{\sinh ^4(a+b \log (c x^n))}{x} \, dx\) [277]
  3.3.78 \(\int \genfrac {}{}{}{}{\sinh ^5(a+b \log (c x^n))}{x} \, dx\) [278]
  3.3.79 \(\int \genfrac {}{}{}{}{\sinh ^{\genfrac {}{}{}{}{5}{2}}(a+b \log (c x^n))}{x} \, dx\) [279]
  3.3.80 \(\int \genfrac {}{}{}{}{\sinh ^{\genfrac {}{}{}{}{3}{2}}(a+b \log (c x^n))}{x} \, dx\) [280]
  3.3.81 \(\int \genfrac {}{}{}{}{\sqrt {\sinh (a+b \log (c x^n))}}{x} \, dx\) [281]
  3.3.82 \(\int \genfrac {}{}{}{}{1}{x \sqrt {\sinh (a+b \log (c x^n))}} \, dx\) [282]
  3.3.83 \(\int \genfrac {}{}{}{}{1}{x \sinh ^{\genfrac {}{}{}{}{3}{2}}(a+b \log (c x^n))} \, dx\) [283]
  3.3.84 \(\int \genfrac {}{}{}{}{1}{x \sinh ^{\genfrac {}{}{}{}{5}{2}}(a+b \log (c x^n))} \, dx\) [284]
  3.3.85 \(\int \sinh ^{\genfrac {}{}{}{}{5}{2}}(a+\genfrac {}{}{}{}{2 \log (c x^n)}{n}) \, dx\) [285]
  3.3.86 \(\int \sqrt {\sinh (a+\genfrac {}{}{}{}{2 \log (c x^n)}{n})} \, dx\) [286]
  3.3.87 \(\int \genfrac {}{}{}{}{1}{\sinh ^{\genfrac {}{}{}{}{3}{2}}(a+\genfrac {}{}{}{}{2 \log (c x^n)}{n})} \, dx\) [287]
  3.3.88 \(\int \genfrac {}{}{}{}{1}{\sinh ^{\genfrac {}{}{}{}{7}{2}}(a+\genfrac {}{}{}{}{2 \log (c x^n)}{n})} \, dx\) [288]
  3.3.89 \(\int \sinh (\genfrac {}{}{}{}{a}{c+d x}) \, dx\) [289]
  3.3.90 \(\int \sinh ^2(\genfrac {}{}{}{}{a}{c+d x}) \, dx\) [290]
  3.3.91 \(\int \sinh ^3(\genfrac {}{}{}{}{a}{c+d x}) \, dx\) [291]
  3.3.92 \(\int \sinh (\genfrac {}{}{}{}{b x}{c+d x}) \, dx\) [292]
  3.3.93 \(\int \sinh ^2(\genfrac {}{}{}{}{b x}{c+d x}) \, dx\) [293]
  3.3.94 \(\int \sinh ^3(\genfrac {}{}{}{}{b x}{c+d x}) \, dx\) [294]
  3.3.95 \(\int \sinh (\genfrac {}{}{}{}{a+b x}{c+d x}) \, dx\) [295]
  3.3.96 \(\int \sinh ^2(\genfrac {}{}{}{}{a+b x}{c+d x}) \, dx\) [296]
  3.3.97 \(\int \sinh ^3(\genfrac {}{}{}{}{a+b x}{c+d x}) \, dx\) [297]
  3.3.98 \(\int \sinh (e+\genfrac {}{}{}{}{f (a+b x)}{c+d x}) \, dx\) [298]
  3.3.99 \(\int \sinh ^2(e+\genfrac {}{}{}{}{f (a+b x)}{c+d x}) \, dx\) [299]
  3.3.100 \(\int \sinh ^3(e+\genfrac {}{}{}{}{f (a+b x)}{c+d x}) \, dx\) [300]