3.6 Integrals 501 to 600

\(\int (a+b \cosh (x)+c \sinh (x)) \, dx\) [501]
\(\int \genfrac {}{}{}{}{1}{a+b \cosh (x)+c \sinh (x)} \, dx\) [502]
\(\int \genfrac {}{}{}{}{1}{(a+b \cosh (x)+c \sinh (x))^2} \, dx\) [503]
\(\int \genfrac {}{}{}{}{1}{(a+b \cosh (x)+c \sinh (x))^3} \, dx\) [504]
\(\int \genfrac {}{}{}{}{1}{(a+b \cosh (x)+c \sinh (x))^4} \, dx\) [505]
\(\int (a+a \cosh (x)+c \sinh (x))^3 \, dx\) [506]
\(\int (a+a \cosh (x)+c \sinh (x))^2 \, dx\) [507]
\(\int (a+a \cosh (x)+c \sinh (x)) \, dx\) [508]
\(\int \genfrac {}{}{}{}{1}{a+a \cosh (x)+c \sinh (x)} \, dx\) [509]
\(\int \genfrac {}{}{}{}{1}{(a+a \cosh (x)+c \sinh (x))^2} \, dx\) [510]
\(\int \genfrac {}{}{}{}{1}{(a+a \cosh (x)+c \sinh (x))^3} \, dx\) [511]
\(\int \genfrac {}{}{}{}{1}{(a+a \cosh (x)+c \sinh (x))^4} \, dx\) [512]
\(\int (\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x))^4 \, dx\) [513]
\(\int (\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x))^3 \, dx\) [514]
\(\int (\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x))^2 \, dx\) [515]
\(\int (\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x)) \, dx\) [516]
\(\int \genfrac {}{}{}{}{1}{\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x)} \, dx\) [517]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x))^2} \, dx\) [518]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x))^3} \, dx\) [519]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x))^4} \, dx\) [520]
\(\int (a+b \cosh (x)+c \sinh (x))^{5/2} \, dx\) [521]
\(\int (a+b \cosh (x)+c \sinh (x))^{3/2} \, dx\) [522]
\(\int \sqrt {a+b \cosh (x)+c \sinh (x)} \, dx\) [523]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \cosh (x)+c \sinh (x)}} \, dx\) [524]
\(\int \genfrac {}{}{}{}{1}{(a+b \cosh (x)+c \sinh (x))^{3/2}} \, dx\) [525]
\(\int \genfrac {}{}{}{}{1}{(a+b \cosh (x)+c \sinh (x))^{5/2}} \, dx\) [526]
\(\int \genfrac {}{}{}{}{1}{(a+b \cosh (x)+c \sinh (x))^{7/2}} \, dx\) [527]
\(\int (\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x))^{5/2} \, dx\) [528]
\(\int (\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x))^{3/2} \, dx\) [529]
\(\int \sqrt {\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x)} \, dx\) [530]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x)}} \, dx\) [531]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x))^{3/2}} \, dx\) [532]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x))^{5/2}} \, dx\) [533]
\(\int (-\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x))^{5/2} \, dx\) [534]
\(\int (-\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x))^{3/2} \, dx\) [535]
\(\int \sqrt {-\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x)} \, dx\) [536]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x)}} \, dx\) [537]
\(\int \genfrac {}{}{}{}{1}{(-\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x))^{3/2}} \, dx\) [538]
\(\int \genfrac {}{}{}{}{1}{(-\sqrt {b^2-c^2}+b \cosh (x)+c \sinh (x))^{5/2}} \, dx\) [539]
\(\int \genfrac {}{}{}{}{1}{a+c \text {sech}(x)+b \tanh (x)} \, dx\) [540]
\(\int \genfrac {}{}{}{}{1}{a+b \coth (x)+c \text {csch}(x)} \, dx\) [541]
\(\int \genfrac {}{}{}{}{\sinh (x)}{a+b \cosh (x)+c \sinh (x)} \, dx\) [542]
\(\int \genfrac {}{}{}{}{\sinh (x)}{1+\cosh (x)+\sinh (x)} \, dx\) [543]
\(\int \genfrac {}{}{}{}{\text {sech}(x)}{a+c \text {sech}(x)+b \tanh (x)} \, dx\) [544]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{a+c \text {sech}(x)+b \tanh (x)} \, dx\) [545]
\(\int \genfrac {}{}{}{}{\text {csch}(x)}{2+2 \coth (x)+3 \text {csch}(x)} \, dx\) [546]
\(\int \genfrac {}{}{}{}{\text {csch}(x)}{a+b \coth (x)+c \text {csch}(x)} \, dx\) [547]
\(\int \genfrac {}{}{}{}{\text {csch}^2(x)}{a+b \coth (x)+c \text {csch}(x)} \, dx\) [548]
\(\int \genfrac {}{}{}{}{A+C \sinh (x)}{a+b \cosh (x)+c \sinh (x)} \, dx\) [549]
\(\int \genfrac {}{}{}{}{A+C \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^2} \, dx\) [550]
\(\int \genfrac {}{}{}{}{A+C \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^3} \, dx\) [551]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)}{a+b \cosh (x)+c \sinh (x)} \, dx\) [552]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)}{(a+b \cosh (x)+c \sinh (x))^2} \, dx\) [553]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)}{(a+b \cosh (x)+c \sinh (x))^3} \, dx\) [554]
\(\int \genfrac {}{}{}{}{B \cosh (x)+C \sinh (x)}{a+b \cosh (x)+c \sinh (x)} \, dx\) [555]
\(\int \genfrac {}{}{}{}{B \cosh (x)+C \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^2} \, dx\) [556]
\(\int \genfrac {}{}{}{}{B \cosh (x)+C \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^3} \, dx\) [557]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)+C \sinh (x)}{a+b \cosh (x)+c \sinh (x)} \, dx\) [558]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)+C \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^2} \, dx\) [559]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)+C \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^3} \, dx\) [560]
\(\int \genfrac {}{}{}{}{b^2-c^2+a b \cosh (x)+a c \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^2} \, dx\) [561]
\(\int \genfrac {}{}{}{}{A+C \sinh (x)}{a+b \cosh (x)+b \sinh (x)} \, dx\) [562]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)}{a+b \cosh (x)+b \sinh (x)} \, dx\) [563]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)+C \sinh (x)}{a+b \cosh (x)+b \sinh (x)} \, dx\) [564]
\(\int \genfrac {}{}{}{}{A+C \sinh (x)}{a+b \cosh (x)-b \sinh (x)} \, dx\) [565]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)}{a+b \cosh (x)-b \sinh (x)} \, dx\) [566]
\(\int \genfrac {}{}{}{}{A+B \cosh (x)+C \sinh (x)}{a+b \cosh (x)-b \sinh (x)} \, dx\) [567]
\(\int \genfrac {}{}{}{}{1}{\cosh ^2(x)+\sinh ^2(x)} \, dx\) [568]
\(\int \genfrac {}{}{}{}{1}{(\cosh ^2(x)+\sinh ^2(x))^2} \, dx\) [569]
\(\int \genfrac {}{}{}{}{1}{(\cosh ^2(x)+\sinh ^2(x))^3} \, dx\) [570]
\(\int \genfrac {}{}{}{}{1}{\cosh ^2(x)-\sinh ^2(x)} \, dx\) [571]
\(\int \genfrac {}{}{}{}{1}{(\cosh ^2(x)-\sinh ^2(x))^2} \, dx\) [572]
\(\int \genfrac {}{}{}{}{1}{(\cosh ^2(x)-\sinh ^2(x))^3} \, dx\) [573]
\(\int \genfrac {}{}{}{}{1}{\text {sech}^2(x)+\tanh ^2(x)} \, dx\) [574]
\(\int \genfrac {}{}{}{}{1}{(\text {sech}^2(x)+\tanh ^2(x))^2} \, dx\) [575]
\(\int \genfrac {}{}{}{}{1}{(\text {sech}^2(x)+\tanh ^2(x))^3} \, dx\) [576]
\(\int \genfrac {}{}{}{}{1}{\text {sech}^2(x)-\tanh ^2(x)} \, dx\) [577]
\(\int \genfrac {}{}{}{}{1}{(\text {sech}^2(x)-\tanh ^2(x))^2} \, dx\) [578]
\(\int \genfrac {}{}{}{}{1}{(\text {sech}^2(x)-\tanh ^2(x))^3} \, dx\) [579]
\(\int \genfrac {}{}{}{}{1}{\coth ^2(x)+\text {csch}^2(x)} \, dx\) [580]
\(\int \genfrac {}{}{}{}{1}{(\coth ^2(x)+\text {csch}^2(x))^2} \, dx\) [581]
\(\int \genfrac {}{}{}{}{1}{(\coth ^2(x)+\text {csch}^2(x))^3} \, dx\) [582]
\(\int \genfrac {}{}{}{}{1}{\coth ^2(x)-\text {csch}^2(x)} \, dx\) [583]
\(\int \genfrac {}{}{}{}{1}{(\coth ^2(x)-\text {csch}^2(x))^2} \, dx\) [584]
\(\int \genfrac {}{}{}{}{1}{(\coth ^2(x)-\text {csch}^2(x))^3} \, dx\) [585]
\(\int \genfrac {}{}{}{}{1}{a+b \sinh (x)+c \sinh ^2(x)} \, dx\) [586]
\(\int \genfrac {}{}{}{}{\sinh (x)}{a+b \sinh (x)+c \sinh ^2(x)} \, dx\) [587]
\(\int \genfrac {}{}{}{}{\sinh ^2(x)}{a+b \sinh (x)+c \sinh ^2(x)} \, dx\) [588]
\(\int \genfrac {}{}{}{}{\sinh ^3(x)}{a+b \sinh (x)+c \sinh ^2(x)} \, dx\) [589]
\(\int \genfrac {}{}{}{}{a+b \sinh (x)}{b^2-2 a b \sinh (x)+a^2 \sinh ^2(x)} \, dx\) [590]
\(\int \genfrac {}{}{}{}{d+e \sinh (x)}{a+b \sinh (x)+c \sinh ^2(x)} \, dx\) [591]
\(\int \genfrac {}{}{}{}{1}{a+b \cosh (x)+c \cosh ^2(x)} \, dx\) [592]
\(\int \genfrac {}{}{}{}{\cosh (x)}{a+b \cosh (x)+c \cosh ^2(x)} \, dx\) [593]
\(\int \genfrac {}{}{}{}{\cosh ^2(x)}{a+b \cosh (x)+c \cosh ^2(x)} \, dx\) [594]
\(\int \genfrac {}{}{}{}{\cosh ^3(x)}{a+b \cosh (x)+c \cosh ^2(x)} \, dx\) [595]
\(\int \genfrac {}{}{}{}{a+b \cosh (x)}{b^2+2 a b \cosh (x)+a^2 \cosh ^2(x)} \, dx\) [596]
\(\int \genfrac {}{}{}{}{d+e \cosh (x)}{a+b \cosh (x)+c \cosh ^2(x)} \, dx\) [597]
\(\int \genfrac {}{}{}{}{\sinh ^2(x)}{a \cosh ^2(x)+b \sinh ^2(x)} \, dx\) [598]
\(\int \genfrac {}{}{}{}{\cosh ^2(x)}{a \cosh ^2(x)+b \sinh ^2(x)} \, dx\) [599]
\(\int \genfrac {}{}{}{}{\sinh ^3(x)}{\cosh ^3(x)+\sinh ^3(x)} \, dx\) [600]