3.7 Integrals 601 to 700

\(\int \genfrac {}{}{}{}{\cosh ^3(x)}{\cosh ^3(x)+\sinh ^3(x)} \, dx\) [601]
\(\int \genfrac {}{}{}{}{x \text {csch}(x) \text {sech}(x)}{\sqrt {a \text {sech}^2(x)}} \, dx\) [602]
\(\int \genfrac {}{}{}{}{x^2 \text {csch}(x) \text {sech}(x)}{\sqrt {a \text {sech}^2(x)}} \, dx\) [603]
\(\int \genfrac {}{}{}{}{x^3 \text {csch}(x) \text {sech}(x)}{\sqrt {a \text {sech}^2(x)}} \, dx\) [604]
\(\int \genfrac {}{}{}{}{x \text {csch}(x) \text {sech}(x)}{\sqrt {a \text {sech}^4(x)}} \, dx\) [605]
\(\int \genfrac {}{}{}{}{x^2 \text {csch}(x) \text {sech}(x)}{\sqrt {a \text {sech}^4(x)}} \, dx\) [606]
\(\int \genfrac {}{}{}{}{x^3 \text {csch}(x) \text {sech}(x)}{\sqrt {a \text {sech}^4(x)}} \, dx\) [607]
\(\int x \text {csch}(x) \text {sech}(x) \sqrt {a \text {sech}^2(x)} \, dx\) [608]
\(\int x^2 \text {csch}(x) \text {sech}(x) \sqrt {a \text {sech}^2(x)} \, dx\) [609]
\(\int x^3 \text {csch}(x) \text {sech}(x) \sqrt {a \text {sech}^2(x)} \, dx\) [610]
\(\int x \text {csch}(x) \text {sech}(x) \sqrt {a \text {sech}^4(x)} \, dx\) [611]
\(\int x^2 \text {csch}(x) \text {sech}(x) \sqrt {a \text {sech}^4(x)} \, dx\) [612]
\(\int x^3 \text {csch}(x) \text {sech}(x) \sqrt {a \text {sech}^4(x)} \, dx\) [613]
\(\int (a+b \cosh (c+d x) \sinh (c+d x))^m \, dx\) [614]
\(\int (a+b \cosh (c+d x) \sinh (c+d x))^3 \, dx\) [615]
\(\int (a+b \cosh (c+d x) \sinh (c+d x))^2 \, dx\) [616]
\(\int (a+b \cosh (c+d x) \sinh (c+d x)) \, dx\) [617]
\(\int \genfrac {}{}{}{}{1}{a+b \cosh (c+d x) \sinh (c+d x)} \, dx\) [618]
\(\int \genfrac {}{}{}{}{1}{(a+b \cosh (c+d x) \sinh (c+d x))^2} \, dx\) [619]
\(\int \genfrac {}{}{}{}{1}{(a+b \cosh (c+d x) \sinh (c+d x))^3} \, dx\) [620]
\(\int (a+b \cosh (c+d x) \sinh (c+d x))^{5/2} \, dx\) [621]
\(\int (a+b \cosh (c+d x) \sinh (c+d x))^{3/2} \, dx\) [622]
\(\int \sqrt {a+b \cosh (c+d x) \sinh (c+d x)} \, dx\) [623]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \cosh (c+d x) \sinh (c+d x)}} \, dx\) [624]
\(\int \genfrac {}{}{}{}{1}{(a+b \cosh (c+d x) \sinh (c+d x))^{3/2}} \, dx\) [625]
\(\int \genfrac {}{}{}{}{1}{(a+b \cosh (c+d x) \sinh (c+d x))^{5/2}} \, dx\) [626]
\(\int \genfrac {}{}{}{}{x^3}{a+b \cosh (x) \sinh (x)} \, dx\) [627]
\(\int \genfrac {}{}{}{}{x^2}{a+b \cosh (x) \sinh (x)} \, dx\) [628]
\(\int \genfrac {}{}{}{}{x}{a+b \cosh (x) \sinh (x)} \, dx\) [629]
\(\int \genfrac {}{}{}{}{1}{x (a+b \cosh (x) \sinh (x))} \, dx\) [630]
\(\int e^{n \cosh (a+b x)} \sinh (a+b x) \, dx\) [631]
\(\int e^{n \cosh (a c+b c x)} \sinh (c (a+b x)) \, dx\) [632]
\(\int e^{n \cosh (c (a+b x))} \sinh (a c+b c x) \, dx\) [633]
\(\int e^{n \cosh (a+b x)} \tanh (a+b x) \, dx\) [634]
\(\int e^{n \cosh (a c+b c x)} \tanh (c (a+b x)) \, dx\) [635]
\(\int e^{n \cosh (c (a+b x))} \tanh (a c+b c x) \, dx\) [636]
\(\int e^{n \sinh (a+b x)} \cosh (a+b x) \, dx\) [637]
\(\int e^{n \sinh (a c+b c x)} \cosh (c (a+b x)) \, dx\) [638]
\(\int e^{n \sinh (c (a+b x))} \cosh (a c+b c x) \, dx\) [639]
\(\int e^{n \sinh (a+b x)} \coth (a+b x) \, dx\) [640]
\(\int e^{n \sinh (a c+b c x)} \coth (c (a+b x)) \, dx\) [641]
\(\int e^{n \sinh (c (a+b x))} \coth (a c+b c x) \, dx\) [642]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{a+b \tanh (x)} \, dx\) [643]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{1+\tanh ^2(x)} \, dx\) [644]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{9+\tanh ^2(x)} \, dx\) [645]
\(\int \text {sech}^2(x) (a+b \tanh (x))^n \, dx\) [646]
\(\int \text {sech}^2(x) (1+\genfrac {}{}{}{}{1}{1-\tanh ^2(x)}) \, dx\) [647]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x) (2-\tanh ^2(x))}{1-\tanh ^2(x)} \, dx\) [648]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{2+2 \tanh (x)+\tanh ^2(x)} \, dx\) [649]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{\tanh ^2(x)+\tanh ^3(x)} \, dx\) [650]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{-\tanh ^2(x)+\tanh ^3(x)} \, dx\) [651]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{3-4 \tanh ^3(x)} \, dx\) [652]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{11-5 \tanh (x)+5 \tanh ^2(x)} \, dx\) [653]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x) (a+b \tanh (x))}{c+d \tanh (x)} \, dx\) [654]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x) (a+b \tanh (x))^2}{c+d \tanh (x)} \, dx\) [655]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x) (a+b \tanh (x))^3}{c+d \tanh (x)} \, dx\) [656]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x) \tanh ^2(x)}{(2+\tanh ^3(x))^2} \, dx\) [657]
\(\int \text {sech}^2(x) \tanh ^6(x) (1-\tanh ^2(x))^3 \, dx\) [658]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x) (2+\tanh ^2(x))}{1+\tanh ^3(x)} \, dx\) [659]
\(\int (1+\cosh ^2(x)) \text {sech}^2(x) \, dx\) [660]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{1+\text {sech}^2(x)-3 \tanh (x)} \, dx\) [661]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{\sqrt {4-\text {sech}^2(x)}} \, dx\) [662]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{\sqrt {1-4 \tanh ^2(x)}} \, dx\) [663]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{\sqrt {-4+\tanh ^2(x)}} \, dx\) [664]
\(\int \sqrt {1+\coth ^2(x)} \text {sech}^2(x) \, dx\) [665]
\(\int \text {sech}^2(x) \sqrt {1+\tanh ^2(x)} \, dx\) [666]
\(\int \text {sech}^4(x) (-1+\text {sech}^2(x))^2 \tanh (x) \, dx\) [667]
\(\int e^{n \sinh (a+b x)} \sinh (2 a+2 b x) \, dx\) [668]
\(\int e^{n \sinh (a+b x)} \sinh (2 (a+b x)) \, dx\) [669]
\(\int e^{n \sinh (\genfrac {}{}{}{}{a}{2}+\genfrac {}{}{}{}{b x}{2})} \sinh (a+b x) \, dx\) [670]
\(\int e^{n \sinh (\genfrac {}{}{}{}{1}{2} (a+b x))} \sinh (a+b x) \, dx\) [671]
\(\int e^{n \cosh (a+b x)} \sinh (2 a+2 b x) \, dx\) [672]
\(\int e^{n \cosh (a+b x)} \sinh (2 (a+b x)) \, dx\) [673]
\(\int e^{n \cosh (\genfrac {}{}{}{}{a}{2}+\genfrac {}{}{}{}{b x}{2})} \sinh (a+b x) \, dx\) [674]
\(\int e^{n \cosh (\genfrac {}{}{}{}{1}{2} (a+b x))} \sinh (a+b x) \, dx\) [675]
\(\int \text {csch}(x) \log (\tanh (x)) \text {sech}(x) \, dx\) [676]
\(\int \text {csch}(2 x) \log (\tanh (x)) \, dx\) [677]
\(\int \cosh (a+b x) F(c,d,\sinh (a+b x),r,s) \, dx\) [678]
\(\int F(c,d,\cosh (a+b x),r,s) \sinh (a+b x) \, dx\) [679]
\(\int F(c,d,\tanh (a+b x),r,s) \text {sech}^2(a+b x) \, dx\) [680]
\(\int \text {csch}^2(a+b x) F(c,d,\coth (a+b x),r,s) \, dx\) [681]
\(\int \text {sech}(x) (5-11 \text {sech}^2(x)) \tanh (x) \, dx\) [682]
\(\int \genfrac {}{}{}{}{\text {csch}^2(x)}{a+b \coth (x)} \, dx\) [683]
\(\int (a+b \coth (x))^n \text {csch}^2(x) \, dx\) [684]
\(\int \text {csch}^2(x) (-1+\sinh ^2(x)) \, dx\) [685]
\(\int (-1-\genfrac {}{}{}{}{1}{1-\coth ^2(x)}) \text {csch}^2(x) \, dx\) [686]
\(\int \genfrac {}{}{}{}{(a+b \coth (x)) \text {csch}^2(x)}{c+d \coth (x)} \, dx\) [687]
\(\int \genfrac {}{}{}{}{(a+b \coth (x))^2 \text {csch}^2(x)}{c+d \coth (x)} \, dx\) [688]
\(\int \genfrac {}{}{}{}{(a+b \coth (x))^3 \text {csch}^2(x)}{c+d \coth (x)} \, dx\) [689]
\(\int \cosh ^3(x) (a+b \cosh ^2(x))^3 \sinh (x) \, dx\) [690]
\(\int \cosh (x) \sinh ^3(x) (a+b \sinh ^2(x))^3 \, dx\) [691]
\(\int \cosh (x) \sinh (x) \sqrt {a+b \sinh ^2(x)} \, dx\) [692]
\(\int \text {csch}(x) \sqrt {1+\log ^2(\coth (x))} \text {sech}(x) \, dx\) [693]
\(\int \genfrac {}{}{}{}{\coth (\sqrt {x}) \text {csch}(\sqrt {x})}{\sqrt {x}} \, dx\) [694]
\(\int \genfrac {}{}{}{}{\cosh (\sqrt {x}) \sinh (\sqrt {x})}{\sqrt {x}} \, dx\) [695]
\(\int \genfrac {}{}{}{}{\text {sech}(\sqrt {x}) \tanh (\sqrt {x})}{\sqrt {x}} \, dx\) [696]
\(\int \genfrac {}{}{}{}{\sinh ^2(x)}{a+b \sinh (2 x)} \, dx\) [697]
\(\int \genfrac {}{}{}{}{\cosh ^2(x)}{a+b \sinh (2 x)} \, dx\) [698]
\(\int \genfrac {}{}{}{}{\sinh ^2(x)}{a+b \cosh (2 x)} \, dx\) [699]
\(\int \genfrac {}{}{}{}{\cosh ^2(x)}{a+b \cosh (2 x)} \, dx\) [700]