3.5 Integrals 401 to 500

\(\int \genfrac {}{}{}{}{1}{(\text {sech}(x)-i \tanh (x))^3} \, dx\) [401]
\(\int \genfrac {}{}{}{}{1}{(\text {sech}(x)-i \tanh (x))^4} \, dx\) [402]
\(\int \genfrac {}{}{}{}{1}{(\text {sech}(x)-i \tanh (x))^5} \, dx\) [403]
\(\int (a \coth (x)+b \text {csch}(x))^5 \, dx\) [404]
\(\int (a \coth (x)+b \text {csch}(x))^4 \, dx\) [405]
\(\int (a \coth (x)+b \text {csch}(x))^3 \, dx\) [406]
\(\int (a \coth (x)+b \text {csch}(x))^2 \, dx\) [407]
\(\int (a \coth (x)+b \text {csch}(x)) \, dx\) [408]
\(\int \genfrac {}{}{}{}{1}{a \coth (x)+b \text {csch}(x)} \, dx\) [409]
\(\int \genfrac {}{}{}{}{1}{(a \coth (x)+b \text {csch}(x))^2} \, dx\) [410]
\(\int \genfrac {}{}{}{}{1}{(a \coth (x)+b \text {csch}(x))^3} \, dx\) [411]
\(\int \genfrac {}{}{}{}{1}{(a \coth (x)+b \text {csch}(x))^4} \, dx\) [412]
\(\int \genfrac {}{}{}{}{1}{(a \coth (x)+b \text {csch}(x))^5} \, dx\) [413]
\(\int (\coth (x)+\text {csch}(x))^5 \, dx\) [414]
\(\int (\coth (x)+\text {csch}(x))^4 \, dx\) [415]
\(\int (\coth (x)+\text {csch}(x))^3 \, dx\) [416]
\(\int (\coth (x)+\text {csch}(x))^2 \, dx\) [417]
\(\int (\coth (x)+\text {csch}(x)) \, dx\) [418]
\(\int \genfrac {}{}{}{}{1}{\coth (x)+\text {csch}(x)} \, dx\) [419]
\(\int \genfrac {}{}{}{}{1}{(\coth (x)+\text {csch}(x))^2} \, dx\) [420]
\(\int \genfrac {}{}{}{}{1}{(\coth (x)+\text {csch}(x))^3} \, dx\) [421]
\(\int \genfrac {}{}{}{}{1}{(\coth (x)+\text {csch}(x))^4} \, dx\) [422]
\(\int \genfrac {}{}{}{}{1}{(\coth (x)+\text {csch}(x))^5} \, dx\) [423]
\(\int (-\coth (x)+\text {csch}(x))^5 \, dx\) [424]
\(\int (-\coth (x)+\text {csch}(x))^4 \, dx\) [425]
\(\int (-\coth (x)+\text {csch}(x))^3 \, dx\) [426]
\(\int (-\coth (x)+\text {csch}(x))^2 \, dx\) [427]
\(\int (-\coth (x)+\text {csch}(x)) \, dx\) [428]
\(\int \genfrac {}{}{}{}{1}{-\coth (x)+\text {csch}(x)} \, dx\) [429]
\(\int \genfrac {}{}{}{}{1}{(-\coth (x)+\text {csch}(x))^2} \, dx\) [430]
\(\int \genfrac {}{}{}{}{1}{(-\coth (x)+\text {csch}(x))^3} \, dx\) [431]
\(\int \genfrac {}{}{}{}{1}{(-\coth (x)+\text {csch}(x))^4} \, dx\) [432]
\(\int \genfrac {}{}{}{}{1}{(-\coth (x)+\text {csch}(x))^5} \, dx\) [433]
\(\int (\text {csch}(x)+\sinh (x)) \, dx\) [434]
\(\int (\text {csch}(x)+\sinh (x))^2 \, dx\) [435]
\(\int (\text {csch}(x)+\sinh (x))^3 \, dx\) [436]
\(\int \sqrt {\text {csch}(x)+\sinh (x)} \, dx\) [437]
\(\int (\text {csch}(x)+\sinh (x))^{3/2} \, dx\) [438]
\(\int (\text {csch}(x)+\sinh (x))^{5/2} \, dx\) [439]
\(\int (-\cosh (x)+\text {sech}(x)) \, dx\) [440]
\(\int (-\cosh (x)+\text {sech}(x))^2 \, dx\) [441]
\(\int (-\cosh (x)+\text {sech}(x))^3 \, dx\) [442]
\(\int \sqrt {-\cosh (x)+\text {sech}(x)} \, dx\) [443]
\(\int (-\cosh (x)+\text {sech}(x))^{3/2} \, dx\) [444]
\(\int (-\cosh (x)+\text {sech}(x))^{5/2} \, dx\) [445]
\(\int \genfrac {}{}{}{}{1}{\sinh (x)+\tanh (x)} \, dx\) [446]
\(\int \genfrac {}{}{}{}{1}{\sinh (x)-\tanh (x)} \, dx\) [447]
\(\int \genfrac {}{}{}{}{\sinh (x)}{a \cosh (x)+b \sinh (x)} \, dx\) [448]
\(\int \genfrac {}{}{}{}{\sinh ^2(x)}{a \cosh (x)+b \sinh (x)} \, dx\) [449]
\(\int \genfrac {}{}{}{}{\sinh ^3(x)}{a \cosh (x)+b \sinh (x)} \, dx\) [450]
\(\int \genfrac {}{}{}{}{\cosh (x)}{a \cosh (x)+b \sinh (x)} \, dx\) [451]
\(\int \genfrac {}{}{}{}{\cosh ^2(x)}{a \cosh (x)+b \sinh (x)} \, dx\) [452]
\(\int \genfrac {}{}{}{}{\cosh ^3(x)}{a \cosh (x)+b \sinh (x)} \, dx\) [453]
\(\int \genfrac {}{}{}{}{\tanh (x)}{b \cosh (x)+a \sinh (x)} \, dx\) [454]
\(\int \genfrac {}{}{}{}{\coth (x)}{b \cosh (x)+a \sinh (x)} \, dx\) [455]
\(\int \genfrac {}{}{}{}{\sinh (x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [456]
\(\int \genfrac {}{}{}{}{\sinh ^2(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [457]
\(\int \genfrac {}{}{}{}{\sinh ^3(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [458]
\(\int \genfrac {}{}{}{}{\cosh (x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [459]
\(\int \genfrac {}{}{}{}{\cosh ^2(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [460]
\(\int \genfrac {}{}{}{}{\cosh ^3(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [461]
\(\int \genfrac {}{}{}{}{\sinh (x)}{(a \cosh (x)+b \sinh (x))^3} \, dx\) [462]
\(\int \genfrac {}{}{}{}{\sinh ^3(x)}{(a \cosh (x)+b \sinh (x))^3} \, dx\) [463]
\(\int \genfrac {}{}{}{}{\cosh (x)}{(a \cosh (x)+b \sinh (x))^3} \, dx\) [464]
\(\int \genfrac {}{}{}{}{\cosh ^3(x)}{(a \cosh (x)+b \sinh (x))^3} \, dx\) [465]
\(\int \genfrac {}{}{}{}{\cosh (x) \sinh (x)}{a \cosh (x)+b \sinh (x)} \, dx\) [466]
\(\int \genfrac {}{}{}{}{\cosh (x) \sinh ^2(x)}{a \cosh (x)+b \sinh (x)} \, dx\) [467]
\(\int \genfrac {}{}{}{}{\cosh (x) \sinh ^3(x)}{a \cosh (x)+b \sinh (x)} \, dx\) [468]
\(\int \genfrac {}{}{}{}{\cosh ^2(x) \sinh (x)}{a \cosh (x)+b \sinh (x)} \, dx\) [469]
\(\int \genfrac {}{}{}{}{\cosh ^2(x) \sinh ^2(x)}{a \cosh (x)+b \sinh (x)} \, dx\) [470]
\(\int \genfrac {}{}{}{}{\cosh ^2(x) \sinh ^3(x)}{a \cosh (x)+b \sinh (x)} \, dx\) [471]
\(\int \genfrac {}{}{}{}{\cosh ^3(x) \sinh (x)}{a \cosh (x)+b \sinh (x)} \, dx\) [472]
\(\int \genfrac {}{}{}{}{\cosh ^3(x) \sinh ^2(x)}{a \cosh (x)+b \sinh (x)} \, dx\) [473]
\(\int \genfrac {}{}{}{}{\cosh ^3(x) \sinh ^3(x)}{a \cosh (x)+b \sinh (x)} \, dx\) [474]
\(\int \genfrac {}{}{}{}{\cosh (x) \sinh (x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [475]
\(\int \genfrac {}{}{}{}{\cosh (x) \sinh ^2(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [476]
\(\int \genfrac {}{}{}{}{\cosh (x) \sinh ^3(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [477]
\(\int \genfrac {}{}{}{}{\cosh ^2(x) \sinh (x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [478]
\(\int \genfrac {}{}{}{}{\cosh ^2(x) \sinh ^2(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [479]
\(\int \genfrac {}{}{}{}{\cosh ^2(x) \sinh ^3(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [480]
\(\int \genfrac {}{}{}{}{\cosh ^3(x) \sinh (x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [481]
\(\int \genfrac {}{}{}{}{\cosh ^3(x) \sinh ^2(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [482]
\(\int \genfrac {}{}{}{}{\cosh ^3(x) \sinh ^3(x)}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [483]
\(\int \genfrac {}{}{}{}{A+C \sinh (x)}{b \cosh (x)+c \sinh (x)} \, dx\) [484]
\(\int \genfrac {}{}{}{}{A+C \sinh (x)}{(b \cosh (x)+c \sinh (x))^2} \, dx\) [485]
\(\int \genfrac {}{}{}{}{A+C \sinh (x)}{(b \cosh (x)+c \sinh (x))^3} \, dx\) [486]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)}{b \cosh (x)+c \sinh (x)} \, dx\) [487]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)}{(b \cosh (x)+c \sinh (x))^2} \, dx\) [488]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)}{(b \cosh (x)+c \sinh (x))^3} \, dx\) [489]
\(\int \genfrac {}{}{}{}{\cosh (x)+\sinh (x)}{\cosh (x)-\sinh (x)} \, dx\) [490]
\(\int \genfrac {}{}{}{}{\cosh (x)-\sinh (x)}{\cosh (x)+\sinh (x)} \, dx\) [491]
\(\int \genfrac {}{}{}{}{\cosh (x)-i \sinh (x)}{\cosh (x)+i \sinh (x)} \, dx\) [492]
\(\int \genfrac {}{}{}{}{B \cosh (x)+C \sinh (x)}{b \cosh (x)+c \sinh (x)} \, dx\) [493]
\(\int \genfrac {}{}{}{}{B \cosh (x)+C \sinh (x)}{(b \cosh (x)+c \sinh (x))^2} \, dx\) [494]
\(\int \genfrac {}{}{}{}{B \cosh (x)+C \sinh (x)}{(b \cosh (x)+c \sinh (x))^3} \, dx\) [495]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)+C \sinh (x)}{b \cosh (x)+c \sinh (x)} \, dx\) [496]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)+C \sinh (x)}{(b \cosh (x)+c \sinh (x))^2} \, dx\) [497]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)+C \sinh (x)}{(b \cosh (x)+c \sinh (x))^3} \, dx\) [498]
\(\int (a+b \cosh (x)+c \sinh (x))^3 \, dx\) [499]
\(\int (a+b \cosh (x)+c \sinh (x))^2 \, dx\) [500]