\(\int e^{-2 \pi x} \cos (2 \pi x) \, dx\) [701]
\(\int (\cos ^{12}(x) \sin ^{10}(x)-\cos ^{10}(x) \sin ^{12}(x)) \, dx\) [702]
\(\int x \cot (x^2) \, dx\) [703]
\(\int x \sec ^2(x^2) \, dx\) [704]
\(\int \genfrac {}{}{}{}{\sin (8 x)}{9+\sin ^4(4 x)} \, dx\) [705]
\(\int \genfrac {}{}{}{}{\cos (2 x)}{8+\sin ^2(2 x)} \, dx\) [706]
\(\int x (\cos ^3(x^2)-\sin ^3(x^2)) \, dx\) [707]
\(\int \genfrac {}{}{}{}{\cos (x) \sin (x)}{1-\cos (x)} \, dx\) [708]
\(\int x \cos (x^2) \, dx\) [709]
\(\int x^2 \cos (4 x^3) \, dx\) [710]
\(\int x^3 \cos (x^4) \, dx\) [711]
\(\int x \sin (\genfrac {}{}{}{}{x^2}{2}) \, dx\) [712]
\(\int x \sec (x^2) \tan (x^2) \, dx\) [713]
\(\int \genfrac {}{}{}{}{\tan ^2(\genfrac {}{}{}{}{1}{x})}{x^2} \, dx\) [714]
\(\int x \tan (1+x^2) \, dx\) [715]
\(\int \sin (\pi (1+2 x)) \, dx\) [716]
\(\int \genfrac {}{}{}{}{\cot (x)+\csc ^2(x)}{1-\cos ^2(x)} \, dx\) [717]
\(\int x^2 \cos (4 x^3) \cos (5 x^3) \, dx\) [718]
\(\int x^{14} \sin (x^3) \, dx\) [719]
\(\int e^{-3 x^3} x^2 \sin (2 x^3) \, dx\) [720]
\(\int 2 x \cos (x^2) \, dx\) [721]
\(\int 3 x^2 \cos (7+x^3) \, dx\) [722]
\(\int (\genfrac {}{}{}{}{1}{1+x^2}+\sin (x)) \, dx\) [723]
\(\int x \sin (1+x^2) \, dx\) [724]
\(\int x \cos (1+x^2) \, dx\) [725]
\(\int (1+x^2 \cos (x^3)) \, dx\) [726]
\(\int x^2 \sin (1+x^3) \, dx\) [727]
\(\int 12 x^2 \cos (x^3) \, dx\) [728]
\(\int (1+x) \sin (1+x) \, dx\) [729]
\(\int x^5 \cos (x^3) \, dx\) [730]
\(\int e^{-3 x} \cos (x) \, dx\) [731]
\(\int x^3 \sin (x^2) \, dx\) [732]
\(\int x^3 \cos (x^2) \, dx\) [733]
\(\int \cos (x) \cos (2 \sin (x)) \, dx\) [734]
\(\int \genfrac {}{}{}{}{\cos (x) \sin (x)}{1+\cos ^2(x)} \, dx\) [735]
\(\int (1+\cos (x)) (x+\sin (x))^3 \, dx\) [736]
\(\int (1+\cos (x)) \csc ^2(x) \, dx\) [737]
\(\int \sin (x) \tan ^2(x) \, dx\) [738]
\(\int e^{\sin (x)} \sec ^2(x) (x \cos ^3(x)-\sin (x)) \, dx\) [739]
\(\int x \csc ^2(x) \, dx\) [740]
\(\int \cos (x) \sin (\genfrac {}{}{}{}{\pi }{6}+x) \, dx\) [741]
\(\int x \sin ^3(x^2) \, dx\) [742]
\(\int \sin ^2(x) \tan (x) \, dx\) [743]
\(\int \cos ^2(x) \cot ^3(x) \, dx\) [744]
\(\int \sec (x) (1-\sin (x)) \, dx\) [745]
\(\int (1+\cos (x)) \csc (x) \, dx\) [746]
\(\int \cos ^2(x) (1-\tan ^2(x)) \, dx\) [747]
\(\int \csc (2 x) (\cos (x)+\sin (x)) \, dx\) [748]
\(\int \genfrac {}{}{}{}{\cos (x) (-3+2 \sin (x))}{2-3 \sin (x)+\sin ^2(x)} \, dx\) [749]
\(\int \genfrac {}{}{}{}{\cos ^2(x) \sin (x)}{5+\cos ^2(x)} \, dx\) [750]
\(\int \genfrac {}{}{}{}{\cos (x)}{\sin (x)+\sin ^2(x)} \, dx\) [751]
\(\int \genfrac {}{}{}{}{\cos (x)}{\sin (x)+\sin ^{\sqrt {2}}(x)} \, dx\) [752]
\(\int \genfrac {}{}{}{}{1}{2 \sin (x)+\sin (2 x)} \, dx\) [753]
\(\int (-3+4 x+x^2) \sin (2 x) \, dx\) [754]
\(\int e^{-3 x} \cos (4 x) \, dx\) [755]
\(\int \genfrac {}{}{}{}{\cos (x) \sin (x)}{\sqrt {1+\sin (x)}} \, dx\) [756]
\(\int (x+60 \cos ^5(x) \sin ^4(x)) \, dx\) [757]
\(\int \cos (x) (\sec (x)+\tan (x)) \, dx\) [758]
\(\int \cos (x) (\sec ^3(x)+\tan (x)) \, dx\) [759]
\(\int \genfrac {}{}{}{}{1}{2} (-\cot (x) \csc (x)+\csc ^2(x)) \, dx\) [760]
\(\int (-\csc ^2(x)+\sin (2 x)) \, dx\) [761]
\(\int (2 \cot (2 x)-3 \sin (3 x)) \, dx\) [762]
\(\int x \sin (2 x^2) \, dx\) [763]
\(\int -\cos (1-x) \sin (1-x) \sqrt {1+\sin ^2(1-x)} \, dx\) [764]
\(\int \genfrac {}{}{}{}{\cos (\genfrac {}{}{}{}{1}{x}) \sin (\genfrac {}{}{}{}{1}{x})}{x^2} \, dx\) [765]
\(\int \cos (\genfrac {}{}{}{}{1}{2} (1+3 x)) \sin ^3(\genfrac {}{}{}{}{1}{2} (1+3 x)) \, dx\) [766]
\(\int 4 x \tan (x^2) \, dx\) [767]
\(\int x \sec (5-x^2) \, dx\) [768]
\(\int \genfrac {}{}{}{}{\csc (\genfrac {}{}{}{}{1}{x})}{x^2} \, dx\) [769]
\(\int (\csc (x)-\sec (x)) (\cos (x)+\sin (x)) \, dx\) [770]
\(\int (-\cos (3 x) \sin (2 x)+\cos (2 x) \sin (3 x)) \, dx\) [771]
\(\int 4 x \sec ^2(2 x) \, dx\) [772]
\(\int 4 \sin ^2(x) \tan ^2(x) \, dx\) [773]
\(\int \cos ^4(x) \cot ^2(x) \, dx\) [774]
\(\int 16 \cos ^2(x) \sin ^2(x) \, dx\) [775]
\(\int 8 \cos ^2(x) \sin ^4(x) \, dx\) [776]
\(\int 35 \cos ^3(x) \sin ^4(x) \, dx\) [777]
\(\int 4 \cos ^4(x) \sin ^4(x) \, dx\) [778]
\(\int \genfrac {}{}{}{}{\cos (x)}{-\sin (x)+\sin ^3(x)} \, dx\) [779]
\(\int (-1+2 \cos ^2(x)+\cos (x) \sin (x)) \, dx\) [780]
\(\int (\cos ^2(x)+\sin ^2(x)) \, dx\) [781]
\(\int (-\cos ^2(x)+\sin ^2(x)) \, dx\) [782]
\(\int 2^{\sin (x)} \cos (x) \, dx\) [783]
\(\int (\tan ^3(x)+\tan ^5(x)) \, dx\) [784]
\(\int x \sec (x) (2+x \tan (x)) \, dx\) [785]
\(\int \genfrac {}{}{}{}{\cot (\sqrt {x}) \csc (\sqrt {x})}{\sqrt {x}} \, dx\) [786]
\(\int \genfrac {}{}{}{}{\cos (\sqrt {x}) \sin (\sqrt {x})}{\sqrt {x}} \, dx\) [787]
\(\int \genfrac {}{}{}{}{\sec (\sqrt {x}) \tan (\sqrt {x})}{\sqrt {x}} \, dx\) [788]
\(\int \genfrac {}{}{}{}{\sin ^2(x)}{a+b \sin (2 x)} \, dx\) [789]
\(\int \genfrac {}{}{}{}{\cos ^2(x)}{a+b \sin (2 x)} \, dx\) [790]
\(\int \genfrac {}{}{}{}{\sin ^2(x)}{a+b \cos (2 x)} \, dx\) [791]
\(\int \genfrac {}{}{}{}{\cos ^2(x)}{a+b \cos (2 x)} \, dx\) [792]
\(\int \genfrac {}{}{}{}{\tan (c+d x)}{\sqrt {a \sin ^2(c+d x)}} \, dx\) [793]
\(\int \genfrac {}{}{}{}{\cot (c+d x)}{\sqrt {a \cos ^2(c+d x)}} \, dx\) [794]
\(\int \genfrac {}{}{}{}{x \cos (x^2)}{\sqrt {\sin (x^2)}} \, dx\) [795]
\(\int \genfrac {}{}{}{}{\cos (x)}{\sqrt {1-\cos (2 x)}} \, dx\) [796]
\(\int \genfrac {}{}{}{}{\cos ^2(\log (x)) \sin ^2(\log (x))}{x} \, dx\) [797]
\(\int \genfrac {}{}{}{}{\sin ^3(x)}{\cos ^3(x)+\sin ^3(x)} \, dx\) [798]
\(\int \genfrac {}{}{}{}{\cos ^3(x)}{\cos ^3(x)+\sin ^3(x)} \, dx\) [799]
\(\int \genfrac {}{}{}{}{\sec (x)}{-5+\cos ^2(x)+4 \sin (x)} \, dx\) [800]