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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]
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