\(\int \csc (c+d x) \sec ^4(c+d x) (a+a \sin (c+d x)) \, dx\) [801]
\(\int \csc ^2(c+d x) \sec ^4(c+d x) (a+a \sin (c+d x)) \, dx\) [802]
\(\int \csc ^3(c+d x) \sec ^4(c+d x) (a+a \sin (c+d x)) \, dx\) [803]
\(\int (a+a \sin (c+d x))^2 \tan ^4(c+d x) \, dx\) [804]
\(\int \sec (c+d x) (a+a \sin (c+d x))^2 \tan ^3(c+d x) \, dx\) [805]
\(\int \sec ^2(c+d x) (a+a \sin (c+d x))^2 \tan ^2(c+d x) \, dx\) [806]
\(\int \sec ^3(c+d x) (a+a \sin (c+d x))^2 \tan (c+d x) \, dx\) [807]
\(\int \csc (c+d x) \sec ^4(c+d x) (a+a \sin (c+d x))^2 \, dx\) [808]
\(\int \csc ^2(c+d x) \sec ^4(c+d x) (a+a \sin (c+d x))^2 \, dx\) [809]
\(\int \csc ^3(c+d x) \sec ^4(c+d x) (a+a \sin (c+d x))^2 \, dx\) [810]
\(\int (a+a \sin (c+d x))^3 \tan ^4(c+d x) \, dx\) [811]
\(\int \sec (c+d x) (a+a \sin (c+d x))^3 \tan ^3(c+d x) \, dx\) [812]
\(\int \sec ^2(c+d x) (a+a \sin (c+d x))^3 \tan ^2(c+d x) \, dx\) [813]
\(\int \sec ^3(c+d x) (a+a \sin (c+d x))^3 \tan (c+d x) \, dx\) [814]
\(\int \csc (c+d x) \sec ^4(c+d x) (a+a \sin (c+d x))^3 \, dx\) [815]
\(\int \csc ^2(c+d x) \sec ^4(c+d x) (a+a \sin (c+d x))^3 \, dx\) [816]
\(\int \csc ^3(c+d x) \sec ^4(c+d x) (a+a \sin (c+d x))^3 \, dx\) [817]
\(\int \csc ^4(c+d x) \sec ^4(c+d x) (a+a \sin (c+d x))^3 \, dx\) [818]
\(\int (a+a \sin (c+d x))^4 \tan ^4(c+d x) \, dx\) [819]
\(\int \sec ^2(c+d x) (a+a \sin (c+d x))^4 \tan ^2(c+d x) \, dx\) [820]
\(\int \genfrac {}{}{}{}{\sin ^2(c+d x) \tan ^4(c+d x)}{a+a \sin (c+d x)} \, dx\) [821]
\(\int \genfrac {}{}{}{}{\sin (c+d x) \tan ^4(c+d x)}{a+a \sin (c+d x)} \, dx\) [822]
\(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{a+a \sin (c+d x)} \, dx\) [823]
\(\int \genfrac {}{}{}{}{\sec (c+d x) \tan ^3(c+d x)}{a+a \sin (c+d x)} \, dx\) [824]
\(\int \genfrac {}{}{}{}{\sec ^2(c+d x) \tan ^2(c+d x)}{a+a \sin (c+d x)} \, dx\) [825]
\(\int \genfrac {}{}{}{}{\sec ^3(c+d x) \tan (c+d x)}{a+a \sin (c+d x)} \, dx\) [826]
\(\int \genfrac {}{}{}{}{\csc (c+d x) \sec ^4(c+d x)}{a+a \sin (c+d x)} \, dx\) [827]
\(\int \genfrac {}{}{}{}{\csc ^2(c+d x) \sec ^4(c+d x)}{a+a \sin (c+d x)} \, dx\) [828]
\(\int \genfrac {}{}{}{}{\sin ^3(c+d x) \tan ^4(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [829]
\(\int \genfrac {}{}{}{}{\sin ^2(c+d x) \tan ^4(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [830]
\(\int \genfrac {}{}{}{}{\sin (c+d x) \tan ^4(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [831]
\(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [832]
\(\int \genfrac {}{}{}{}{\sec (c+d x) \tan ^3(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [833]
\(\int \genfrac {}{}{}{}{\sec ^2(c+d x) \tan ^2(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [834]
\(\int \genfrac {}{}{}{}{\sec ^3(c+d x) \tan (c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [835]
\(\int \genfrac {}{}{}{}{\csc (c+d x) \sec ^4(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [836]
\(\int \genfrac {}{}{}{}{\csc ^2(c+d x) \sec ^4(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [837]
\(\int \genfrac {}{}{}{}{\csc ^3(c+d x) \sec ^4(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [838]
\(\int \genfrac {}{}{}{}{\sin ^3(c+d x) \tan ^4(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [839]
\(\int \genfrac {}{}{}{}{\sin ^2(c+d x) \tan ^4(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [840]
\(\int \genfrac {}{}{}{}{\sin (c+d x) \tan ^4(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [841]
\(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [842]
\(\int \genfrac {}{}{}{}{\sec (c+d x) \tan ^3(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [843]
\(\int \genfrac {}{}{}{}{\sec ^2(c+d x) \tan ^2(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [844]
\(\int \genfrac {}{}{}{}{\sec ^3(c+d x) \tan (c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [845]
\(\int \genfrac {}{}{}{}{\csc (c+d x) \sec ^4(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [846]
\(\int \genfrac {}{}{}{}{\csc ^2(c+d x) \sec ^4(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [847]
\(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{(a+a \sin (c+d x))^4} \, dx\) [848]
\(\int \genfrac {}{}{}{}{\sec (c+d x) \tan ^3(c+d x)}{(a+a \sin (c+d x))^4} \, dx\) [849]
\(\int \genfrac {}{}{}{}{\sec ^2(c+d x) \tan ^2(c+d x)}{(a+a \sin (c+d x))^4} \, dx\) [850]
\(\int \sin (c+d x) (a+a \sin (c+d x)) \tan ^5(c+d x) \, dx\) [851]
\(\int (a+a \sin (c+d x)) \tan ^5(c+d x) \, dx\) [852]
\(\int \sec (c+d x) (a+a \sin (c+d x)) \tan ^4(c+d x) \, dx\) [853]
\(\int \sec ^2(c+d x) (a+a \sin (c+d x)) \tan ^3(c+d x) \, dx\) [854]
\(\int \sec ^3(c+d x) (a+a \sin (c+d x)) \tan ^2(c+d x) \, dx\) [855]
\(\int \sec ^4(c+d x) (a+a \sin (c+d x)) \tan (c+d x) \, dx\) [856]
\(\int \csc (c+d x) \sec ^5(c+d x) (a+a \sin (c+d x)) \, dx\) [857]
\(\int \csc ^2(c+d x) \sec ^5(c+d x) (a+a \sin (c+d x)) \, dx\) [858]
\(\int \csc ^3(c+d x) \sec ^5(c+d x) (a+a \sin (c+d x)) \, dx\) [859]
\(\int \csc ^4(c+d x) \sec ^5(c+d x) (a+a \sin (c+d x)) \, dx\) [860]
\(\int (a+a \sin (c+d x))^2 \tan ^5(c+d x) \, dx\) [861]
\(\int \sec (c+d x) (a+a \sin (c+d x))^2 \tan ^4(c+d x) \, dx\) [862]
\(\int \sec ^2(c+d x) (a+a \sin (c+d x))^2 \tan ^3(c+d x) \, dx\) [863]
\(\int \sec ^3(c+d x) (a+a \sin (c+d x))^2 \tan ^2(c+d x) \, dx\) [864]
\(\int \sec ^4(c+d x) (a+a \sin (c+d x))^2 \tan (c+d x) \, dx\) [865]
\(\int \csc (c+d x) \sec ^5(c+d x) (a+a \sin (c+d x))^2 \, dx\) [866]
\(\int \csc ^2(c+d x) \sec ^5(c+d x) (a+a \sin (c+d x))^2 \, dx\) [867]
\(\int \csc ^3(c+d x) \sec ^5(c+d x) (a+a \sin (c+d x))^2 \, dx\) [868]
\(\int \csc ^4(c+d x) \sec ^5(c+d x) (a+a \sin (c+d x))^2 \, dx\) [869]
\(\int (a+a \sin (c+d x))^3 \tan ^5(c+d x) \, dx\) [870]
\(\int \sec (c+d x) (a+a \sin (c+d x))^3 \tan ^4(c+d x) \, dx\) [871]
\(\int \sec ^2(c+d x) (a+a \sin (c+d x))^3 \tan ^3(c+d x) \, dx\) [872]
\(\int \sec ^3(c+d x) (a+a \sin (c+d x))^3 \tan ^2(c+d x) \, dx\) [873]
\(\int \sec ^4(c+d x) (a+a \sin (c+d x))^3 \tan (c+d x) \, dx\) [874]
\(\int \csc (c+d x) \sec ^5(c+d x) (a+a \sin (c+d x))^3 \, dx\) [875]
\(\int \csc ^2(c+d x) \sec ^5(c+d x) (a+a \sin (c+d x))^3 \, dx\) [876]
\(\int \csc ^3(c+d x) \sec ^5(c+d x) (a+a \sin (c+d x))^3 \, dx\) [877]
\(\int \genfrac {}{}{}{}{\sin ^3(c+d x) \tan ^7(c+d x)}{a+a \sin (c+d x)} \, dx\) [878]
\(\int \genfrac {}{}{}{}{\sin ^2(c+d x) \tan ^7(c+d x)}{a+a \sin (c+d x)} \, dx\) [879]
\(\int \genfrac {}{}{}{}{\sin (c+d x) \tan ^7(c+d x)}{a+a \sin (c+d x)} \, dx\) [880]
\(\int \genfrac {}{}{}{}{\tan ^7(c+d x)}{a+a \sin (c+d x)} \, dx\) [881]
\(\int \genfrac {}{}{}{}{\sec (c+d x) \tan ^6(c+d x)}{a+a \sin (c+d x)} \, dx\) [882]
\(\int \genfrac {}{}{}{}{\sec ^2(c+d x) \tan ^5(c+d x)}{a+a \sin (c+d x)} \, dx\) [883]
\(\int \genfrac {}{}{}{}{\sec ^3(c+d x) \tan ^4(c+d x)}{a+a \sin (c+d x)} \, dx\) [884]
\(\int \genfrac {}{}{}{}{\sec ^4(c+d x) \tan ^3(c+d x)}{a+a \sin (c+d x)} \, dx\) [885]
\(\int \genfrac {}{}{}{}{\sec ^5(c+d x) \tan ^2(c+d x)}{a+a \sin (c+d x)} \, dx\) [886]
\(\int \genfrac {}{}{}{}{\sec ^6(c+d x) \tan (c+d x)}{a+a \sin (c+d x)} \, dx\) [887]
\(\int \genfrac {}{}{}{}{\sec ^7(c+d x)}{a+a \sin (c+d x)} \, dx\) [888]
\(\int \genfrac {}{}{}{}{\csc (c+d x) \sec ^7(c+d x)}{a+a \sin (c+d x)} \, dx\) [889]
\(\int \genfrac {}{}{}{}{\csc ^2(c+d x) \sec ^7(c+d x)}{a+a \sin (c+d x)} \, dx\) [890]
\(\int \genfrac {}{}{}{}{\csc ^3(c+d x) \sec ^7(c+d x)}{a+a \sin (c+d x)} \, dx\) [891]
\(\int \sec ^5(c+d x) (a+a \sin (c+d x))^2 \tan ^3(c+d x) \, dx\) [892]
\(\int \genfrac {}{}{}{}{\sin ^3(c+d x) \tan ^9(c+d x)}{a+a \sin (c+d x)} \, dx\) [893]
\(\int \genfrac {}{}{}{}{\sin ^2(c+d x) \tan ^9(c+d x)}{a+a \sin (c+d x)} \, dx\) [894]
\(\int \genfrac {}{}{}{}{\sin (c+d x) \tan ^9(c+d x)}{a+a \sin (c+d x)} \, dx\) [895]
\(\int \genfrac {}{}{}{}{\tan ^9(c+d x)}{a+a \sin (c+d x)} \, dx\) [896]
\(\int \genfrac {}{}{}{}{\sec (c+d x) \tan ^8(c+d x)}{a+a \sin (c+d x)} \, dx\) [897]
\(\int \genfrac {}{}{}{}{\sec ^2(c+d x) \tan ^7(c+d x)}{a+a \sin (c+d x)} \, dx\) [898]
\(\int \genfrac {}{}{}{}{\sec ^3(c+d x) \tan ^6(c+d x)}{a+a \sin (c+d x)} \, dx\) [899]
\(\int \genfrac {}{}{}{}{\sec ^4(c+d x) \tan ^5(c+d x)}{a+a \sin (c+d x)} \, dx\) [900]