\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{3}{2}}(x) \sqrt {3 \cos (x)+\sin (x)}} \, dx\) [801]
\(\int \genfrac {}{}{}{}{\csc (x) \sqrt {\cos (x)+\sin (x)}}{\cos ^{\genfrac {}{}{}{}{3}{2}}(x)} \, dx\) [802]
\(\int \genfrac {}{}{}{}{\cos (x)+\sin (x)}{\sqrt {1+\sin (2 x)}} \, dx\) [803]
\(\int \sec (x) \sqrt {\sec (x)+\tan (x)} \, dx\) [804]
\(\int \sec (x) \sqrt {4+3 \sec (x)} \tan (x) \, dx\) [805]
\(\int \sec (x) \sqrt {1+\sec (x)} \tan ^3(x) \, dx\) [806]
\(\int \cot ^3(x) \csc (x) \sqrt {1+\csc (x)} \, dx\) [807]
\(\int \sqrt {\csc (x)} (x \cos (x)-4 \sec (x) \tan (x)) \, dx\) [808]
\(\int \cot (x) \sqrt {-1+\csc ^2(x)} (1-\sin ^2(x))^3 \, dx\) [809]
\(\int \cos (x) \sqrt {-1+\csc ^2(x)} (1-\sin ^2(x))^3 \, dx\) [810]
\(\int \genfrac {}{}{}{}{x \csc (x) \sec (x)}{\sqrt {a \sec ^2(x)}} \, dx\) [811]
\(\int \genfrac {}{}{}{}{x^2 \csc (x) \sec (x)}{\sqrt {a \sec ^2(x)}} \, dx\) [812]
\(\int \genfrac {}{}{}{}{x^3 \csc (x) \sec (x)}{\sqrt {a \sec ^2(x)}} \, dx\) [813]
\(\int \genfrac {}{}{}{}{x \csc (x) \sec (x)}{\sqrt {a \sec ^4(x)}} \, dx\) [814]
\(\int \genfrac {}{}{}{}{x^2 \csc (x) \sec (x)}{\sqrt {a \sec ^4(x)}} \, dx\) [815]
\(\int \genfrac {}{}{}{}{x^3 \csc (x) \sec (x)}{\sqrt {a \sec ^4(x)}} \, dx\) [816]
\(\int x \csc (x) \sec (x) \sqrt {a \sec ^2(x)} \, dx\) [817]
\(\int x^2 \csc (x) \sec (x) \sqrt {a \sec ^2(x)} \, dx\) [818]
\(\int x^3 \csc (x) \sec (x) \sqrt {a \sec ^2(x)} \, dx\) [819]
\(\int x \csc (x) \sec (x) \sqrt {a \sec ^4(x)} \, dx\) [820]
\(\int x^2 \csc (x) \sec (x) \sqrt {a \sec ^4(x)} \, dx\) [821]
\(\int x^3 \csc (x) \sec (x) \sqrt {a \sec ^4(x)} \, dx\) [822]
\(\int \sin (x) \sin (2 x) \sin (3 x) \, dx\) [823]
\(\int \cos (x) \cos (2 x) \cos (3 x) \, dx\) [824]
\(\int \cos (x) \sin (2 x) \sin (3 x) \, dx\) [825]
\(\int \cos (2 x) \cos (3 x) \sin (x) \, dx\) [826]
\(\int x \sin (x^2) \, dx\) [827]
\(\int (-\cos (x)+\sin (x)) (\cos (x)+\sin (x))^5 \, dx\) [828]
\(\int 2 x \sec ^2(x) \tan (x) \, dx\) [829]
\(\int \genfrac {}{}{}{}{1+\cos ^2(x)}{1+\cos (2 x)} \, dx\) [830]
\(\int \genfrac {}{}{}{}{\sin (x)}{\cos ^3(x)-\cos ^5(x)} \, dx\) [831]
\(\int \sec (x) (5-11 \sec ^5(x))^2 \tan (x) \, dx\) [832]
\(\int \sin ^3(5 x) \tan ^3(5 x) \, dx\) [833]
\(\int \sin ^3(5 x) \tan ^4(5 x) \, dx\) [834]
\(\int \sin ^5(6 x) \tan ^3(6 x) \, dx\) [835]
\(\int (-1+\sec ^2(2 x))^3 \sin (2 x) \, dx\) [836]
\(\int \sin (x) \tan ^5(x) \, dx\) [837]
\(\int \cos ^5(2 x) \cot ^4(2 x) \, dx\) [838]
\(\int \cos (3 x) (-1+\csc ^2(3 x))^3 (1-\sin ^2(3 x))^5 \, dx\) [839]
\(\int \cot (2 x) (-1+\csc ^2(2 x))^2 (1-\sin ^2(2 x))^2 \, dx\) [840]
\(\int \cos (2 x) (-1+\csc ^2(2 x))^4 (1-\sin ^2(2 x))^2 \, dx\) [841]
\(\int \cot (3 x) (-1+\csc ^2(3 x))^3 (1-\sin ^2(3 x))^2 \, dx\) [842]
\(\int (1+\cot ^2(9 x))^2 (1+\tan ^2(9 x))^3 \, dx\) [843]
\(\int \genfrac {}{}{}{}{\cos (x) (9-7 \sin ^3(x))^2}{1-\sin ^2(x)} \, dx\) [844]
\(\int \cos ^4(2 x) \cot ^5(2 x) \, dx\) [845]
\(\int \genfrac {}{}{}{}{\sec (x) \tan ^2(x)}{4+3 \sec (x)} \, dx\) [846]
\(\int x \sec (1+x) \tan (1+x) \, dx\) [847]
\(\int \genfrac {}{}{}{}{\sin (2 x)}{\sqrt {9-\sin ^2(x)}} \, dx\) [848]
\(\int \genfrac {}{}{}{}{\sin (2 x)}{\sqrt {9-\cos ^4(x)}} \, dx\) [849]
\(\int \genfrac {}{}{}{}{\cos (\genfrac {}{}{}{}{1}{x})}{x^5} \, dx\) [850]
\(\int \cos ^3(1+x) \sin ^3(1+x) \, dx\) [851]
\(\int (1+2 x)^3 \sin ^2(1+2 x) \, dx\) [852]
\(\int \genfrac {}{}{}{}{-1+\sec (x)}{1-\tan (x)} \, dx\) [853]
\(\int x^2 \cos (3 x) \cos (5 x) \, dx\) [854]
\(\int \genfrac {}{}{}{}{\cos (x)+\sin (x)}{\sqrt {\cos (x)} \sqrt {\sin (x)}} \, dx\) [855]
\(\int \sec ^2(x) (1+\sin (x)) \, dx\) [856]
\(\int (10 x^9 \cos (x^5 \log (x))-x^{10} (x^4+5 x^4 \log (x)) \sin (x^5 \log (x))) \, dx\) [857]
\(\int \cos ^2(\genfrac {}{}{}{}{x}{2}) \tan (\genfrac {}{}{}{}{\pi }{4}+\genfrac {}{}{}{}{x}{2}) \, dx\) [858]
\(\int (2+3 x)^2 \sin ^3(x) \, dx\) [859]
\(\int \sec ^{1+m}(x) \sin (x) \, dx\) [860]
\(\int \cos ^n(a+b x) \sin ^{-2-n}(a+b x) \, dx\) [861]
\(\int \genfrac {}{}{}{}{1}{\sec (x)+\sin (x) \tan (x)} \, dx\) [862]
\(\int (a+b x+c x^2) \sin (x) \, dx\) [863]
\(\int \genfrac {}{}{}{}{\sin (x^5)}{x} \, dx\) [864]
\(\int \genfrac {}{}{}{}{\sin (2^x)}{1+2^x} \, dx\) [865]
\(\int x \cos (2 x^2) \sin ^{\genfrac {}{}{}{}{3}{4}}(2 x^2) \, dx\) [866]
\(\int x \sec ^2(x^2) \tan ^2(x^2) \, dx\) [867]
\(\int x^2 \cos ^7(a+b x^3) \sin (a+b x^3) \, dx\) [868]
\(\int x^5 \cos ^7(a+b x^3) \sin (a+b x^3) \, dx\) [869]
\(\int x^5 \sec ^7(a+b x^3) \tan (a+b x^3) \, dx\) [870]
\(\int \genfrac {}{}{}{}{\sec ^2(\genfrac {}{}{}{}{1}{x})}{x^2} \, dx\) [871]
\(\int 3 x^2 \cos (x^3) \, dx\) [872]
\(\int (1+2 x) \sec ^2(1+2 x) \, dx\) [873]
\(\int (\genfrac {}{}{}{}{x^4}{b \sqrt {x^3+3 \sin (a+b x)}}+\genfrac {}{}{}{}{x^2 \cos (a+b x)}{\sqrt {x^3+3 \sin (a+b x)}}+\genfrac {}{}{}{}{4 x \sqrt {x^3+3 \sin (a+b x)}}{3 b}) \, dx\) [874]
\(\int \genfrac {}{}{}{}{x^2 \cos (a+b x)}{\sqrt {x^3+3 \sin (a+b x)}} \, dx\) [875]
\(\int \genfrac {}{}{}{}{\cos (x)+\sin (x)}{e^{-x}+\sin (x)} \, dx\) [876]
\(\int \sin (c+d x) (a \sin ^2(c+d x)+b \sin ^3(c+d x)) \, dx\) [877]
\(\int \sin (c+d x) (a \sin ^2(c+d x)+b \sin ^3(c+d x))^2 \, dx\) [878]
\(\int \sin (c+d x) (a \sin (c+d x)+b \sin ^2(c+d x)+c \sin ^3(c+d x)) \, dx\) [879]
\(\int \sin (c+d x) (a \sin (c+d x)+b \sin ^2(c+d x)+c \sin ^3(c+d x))^2 \, dx\) [880]
\(\int \sin (c+d x) (a+\genfrac {}{}{}{}{b}{\sqrt {\sin (c+d x)}}+c \sin (c+d x)) \, dx\) [881]
\(\int \sin (c+d x) (a+\genfrac {}{}{}{}{b}{\sqrt {\sin (c+d x)}}+c \sin (c+d x))^2 \, dx\) [882]
\(\int f^{a+b x} (\cos (c+d x)+i \sin (c+d x))^n \, dx\) [883]
\(\int f^{a+b x} (\cos (c+d x)-i \sin (c+d x))^n \, dx\) [884]
\(\int \genfrac {}{}{}{}{\cos ^5(a+b x)-\sin ^5(a+b x)}{\cos ^5(a+b x)+\sin ^5(a+b x)} \, dx\) [885]
\(\int \genfrac {}{}{}{}{\cos ^4(a+b x)-\sin ^4(a+b x)}{\cos ^4(a+b x)+\sin ^4(a+b x)} \, dx\) [886]
\(\int \genfrac {}{}{}{}{\cos ^3(a+b x)-\sin ^3(a+b x)}{\cos ^3(a+b x)+\sin ^3(a+b x)} \, dx\) [887]
\(\int \genfrac {}{}{}{}{\cos ^2(a+b x)-\sin ^2(a+b x)}{\cos ^2(a+b x)+\sin ^2(a+b x)} \, dx\) [888]
\(\int \genfrac {}{}{}{}{\cos (a+b x)-\sin (a+b x)}{\cos (a+b x)+\sin (a+b x)} \, dx\) [889]
\(\int \genfrac {}{}{}{}{-\csc (a+b x)+\sec (a+b x)}{\csc (a+b x)+\sec (a+b x)} \, dx\) [890]
\(\int \genfrac {}{}{}{}{-\csc ^2(a+b x)+\sec ^2(a+b x)}{\csc ^2(a+b x)+\sec ^2(a+b x)} \, dx\) [891]
\(\int \genfrac {}{}{}{}{-\csc ^3(a+b x)+\sec ^3(a+b x)}{\csc ^3(a+b x)+\sec ^3(a+b x)} \, dx\) [892]
\(\int \genfrac {}{}{}{}{-\csc ^4(a+b x)+\sec ^4(a+b x)}{\csc ^4(a+b x)+\sec ^4(a+b x)} \, dx\) [893]