3.6 Integrals 501 to 600

\(\int (a^{-4 x}-a^{2 x})^3 \, dx\) [501]
\(\int (a^{k x}+a^{l x}) \, dx\) [502]
\(\int (a^{k x}+a^{l x})^2 \, dx\) [503]
\(\int (a^{k x}+a^{l x})^3 \, dx\) [504]
\(\int (a^{k x}+a^{l x})^4 \, dx\) [505]
\(\int (a^{k x}+a^{l x})^n \, dx\) [506]
\(\int (a^{k x}-a^{l x}) \, dx\) [507]
\(\int (a^{k x}-a^{l x})^2 \, dx\) [508]
\(\int (a^{k x}-a^{l x})^3 \, dx\) [509]
\(\int (a^{k x}-a^{l x})^4 \, dx\) [510]
\(\int (a^{k x}-a^{l x})^n \, dx\) [511]
\(\int (1+a^{m x}) \, dx\) [512]
\(\int (1+a^{m x})^2 \, dx\) [513]
\(\int (1+a^{m x})^3 \, dx\) [514]
\(\int (1+a^{m x})^4 \, dx\) [515]
\(\int (1+a^{m x})^n \, dx\) [516]
\(\int (1-a^{m x}) \, dx\) [517]
\(\int (1-a^{m x})^2 \, dx\) [518]
\(\int (1-a^{m x})^3 \, dx\) [519]
\(\int (1-a^{m x})^4 \, dx\) [520]
\(\int (1-a^{m x})^n \, dx\) [521]
\(\int \genfrac {}{}{}{}{1}{b+a e^{n x}} \, dx\) [522]
\(\int \genfrac {}{}{}{}{e^x}{b+a e^{3 x}} \, dx\) [523]
\(\int \genfrac {}{}{}{}{-1+e^x}{1+e^x} \, dx\) [524]
\(\int \genfrac {}{}{}{}{e^{4 x}}{1-2 e^{2 x}+3 e^{4 x}} \, dx\) [525]
\(\int \genfrac {}{}{}{}{e^x+e^{5 x}}{-1+e^x-e^{2 x}+e^{3 x}} \, dx\) [526]
\(\int e^{n x} (a+b e^{n x})^{r/s} \, dx\) [527]
\(\int \sqrt [4]{1-2 e^{x/3}} \, dx\) [528]
\(\int (a+b e^{n x})^{r/s} \, dx\) [529]
\(\int \genfrac {}{}{}{}{e^x}{\sqrt {a^2+e^{2 x}}} \, dx\) [530]
\(\int \genfrac {}{}{}{}{e^x}{\sqrt {-a^2+e^{2 x}}} \, dx\) [531]
\(\int \genfrac {}{}{}{}{e^{3 x/4}}{(-2+e^{3 x/4}) \sqrt {-2+e^{3 x/4}+e^{3 x/2}}} \, dx\) [532]
\(\int e^{-2 x} (-3+e^{7 x})^{2/3} \, dx\) [533]
\(\int \genfrac {}{}{}{}{e^{2 x}}{(3-e^{x/2})^{3/4}} \, dx\) [534]
\(\int e^{-x/2} x^3 \, dx\) [535]
\(\int \genfrac {}{}{}{}{e^{-x/2}}{x^3} \, dx\) [536]
\(\int a^{3 x} x^2 \, dx\) [537]
\(\int e^{x^2} x (1+x^2) \, dx\) [538]
\(\int \genfrac {}{}{}{}{x}{(e^{-x}+e^x)^2} \, dx\) [539]
\(\int \genfrac {}{}{}{}{e^x (1-x-x^2)}{\sqrt {1-x^2}} \, dx\) [540]
\(\int e^{-3 x} \cos (2 x) \, dx\) [541]
\(\int \genfrac {}{}{}{}{\cos (\genfrac {}{}{}{}{x}{2})+\sin (\genfrac {}{}{}{}{x}{2})}{\sqrt [3]{e^x}} \, dx\) [542]
\(\int \genfrac {}{}{}{}{\cos (\genfrac {}{}{}{}{3 x}{2})}{\sqrt [4]{3^{3 x}}} \, dx\) [543]
\(\int e^{m x} \cos ^2(x) \, dx\) [544]
\(\int e^{m x} \sin ^3(x) \, dx\) [545]
\(\int \genfrac {}{}{}{}{\cos ^3(\genfrac {}{}{}{}{x}{3})}{\sqrt {e^x}} \, dx\) [546]
\(\int e^{2 x} \cos ^2(x) \sin ^2(x) \, dx\) [547]
\(\int e^{3 x} \cos ^2(\genfrac {}{}{}{}{3 x}{2}) \sin ^2(\genfrac {}{}{}{}{3 x}{2}) \, dx\) [548]
\(\int e^{m x} \tan ^2(x) \, dx\) [549]
\(\int e^{m x} \csc ^2(x) \, dx\) [550]
\(\int e^{m x} \sec ^3(x) \, dx\) [551]
\(\int \genfrac {}{}{}{}{e^x}{1+\cos (x)} \, dx\) [552]
\(\int \genfrac {}{}{}{}{e^x}{1-\cos (x)} \, dx\) [553]
\(\int \genfrac {}{}{}{}{e^x}{1+\sin (x)} \, dx\) [554]
\(\int \genfrac {}{}{}{}{e^x}{1-\sin (x)} \, dx\) [555]
\(\int \genfrac {}{}{}{}{e^x (1-\sin (x))}{1-\cos (x)} \, dx\) [556]
\(\int \genfrac {}{}{}{}{e^x (1+\sin (x))}{1-\cos (x)} \, dx\) [557]
\(\int \genfrac {}{}{}{}{e^x (1+\sin (x))}{1+\cos (x)} \, dx\) [558]
\(\int \genfrac {}{}{}{}{e^x (1-\sin (x))}{1+\cos (x)} \, dx\) [559]
\(\int \genfrac {}{}{}{}{e^x (1-\cos (x))}{1-\sin (x)} \, dx\) [560]
\(\int \genfrac {}{}{}{}{e^x (1+\cos (x))}{1-\sin (x)} \, dx\) [561]
\(\int \genfrac {}{}{}{}{e^x (1+\cos (x))}{1+\sin (x)} \, dx\) [562]
\(\int \genfrac {}{}{}{}{e^x (1-\cos (x))}{1+\sin (x)} \, dx\) [563]
\(\int e^x x \cos (x) \, dx\) [564]
\(\int e^x x^2 \sin (x) \, dx\) [565]
\(\int e^{-3 x} x^2 \sin (x) \, dx\) [566]
\(\int e^{x/2} x^2 \cos ^3(x) \, dx\) [567]
\(\int e^{2 x} x^2 \sin (4 x) \, dx\) [568]
\(\int e^{x/2} x^2 \cos (x) \sin ^2(x) \, dx\) [569]
\(\int \cosh (x) \, dx\) [570]
\(\int \sinh (x) \, dx\) [571]
\(\int \tanh (x) \, dx\) [572]
\(\int \coth (x) \, dx\) [573]
\(\int \text {sech}(x) \, dx\) [574]
\(\int \text {csch}(x) \, dx\) [575]
\(\int \cosh ^2(x) \, dx\) [576]
\(\int \sinh ^5(x) \, dx\) [577]
\(\int \tanh ^4(x) \, dx\) [578]
\(\int \text {csch}^3(x) \, dx\) [579]
\(\int \text {sech}^5(x) \, dx\) [580]
\(\int \sinh ^4(x) \tanh (x) \, dx\) [581]
\(\int \text {sech}^{\genfrac {}{}{}{}{23}{4}}(x) \sinh ^5(x) \, dx\) [582]
\(\int \genfrac {}{}{}{}{1}{a+b \cosh (x)} \, dx\) [583]
\(\int \genfrac {}{}{}{}{1}{(1+\cosh (x))^2} \, dx\) [584]
\(\int \genfrac {}{}{}{}{1}{a+b \tanh (x)} \, dx\) [585]
\(\int \genfrac {}{}{}{}{1}{a^2+b^2 \cosh ^2(x)} \, dx\) [586]
\(\int \genfrac {}{}{}{}{1}{a^2-b^2 \cosh ^2(x)} \, dx\) [587]
\(\int \genfrac {}{}{}{}{1}{1-\sinh ^4(x)} \, dx\) [588]
\(\int \genfrac {}{}{}{}{\cosh ^3(x)-\sinh ^3(x)}{\cosh ^3(x)+\sinh ^3(x)} \, dx\) [589]
\(\int \cosh (x) \cosh (2 x) \cosh (3 x) \, dx\) [590]
\(\int \cosh (\genfrac {}{}{}{}{3 x}{2}) \sinh (x) \sinh (\genfrac {}{}{}{}{5 x}{2}) \, dx\) [591]
\(\int \genfrac {}{}{}{}{\cosh (x) (-\cosh (2 x)+\tanh (x))}{\sqrt {\sinh (2 x)} (\sinh ^2(x)+\sinh (2 x))} \, dx\) [592]
\(\int \genfrac {}{}{}{}{\sinh (x)}{(-9+4 \cosh ^2(x))^{5/2}} \, dx\) [593]
\(\int \genfrac {}{}{}{}{\sinh ^2(x) \sinh (2 x)}{(1-\sinh ^2(x))^{3/2}} \, dx\) [594]
\(\int \genfrac {}{}{}{}{\cosh (x)}{\sqrt {\cosh (2 x)}} \, dx\) [595]
\(\int x \tanh ^2(x) \, dx\) [596]
\(\int x \coth ^2(x) \, dx\) [597]
\(\int \genfrac {}{}{}{}{x+\cosh (x)+\sinh (x)}{\cosh (x)-\sinh (x)} \, dx\) [598]
\(\int \genfrac {}{}{}{}{x+\cosh (x)+\sinh (x)}{1+\cosh (x)} \, dx\) [599]
\(\int e^{2 x} \text {csch}^4(x) \, dx\) [600]