3.7 Integrals 601 to 700

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