\(\int \cot ^6(c+d x) \csc ^4(c+d x) (a+a \sin (c+d x))^2 \, dx\) [601]
\(\int \cot ^6(c+d x) \csc ^5(c+d x) (a+a \sin (c+d x))^2 \, dx\) [602]
\(\int \cot ^6(c+d x) \csc ^6(c+d x) (a+a \sin (c+d x))^2 \, dx\) [603]
\(\int \cot ^6(c+d x) \csc ^7(c+d x) (a+a \sin (c+d x))^2 \, dx\) [604]
\(\int \cos ^6(c+d x) \sin ^4(c+d x) (a+a \sin (c+d x))^3 \, dx\) [605]
\(\int \cos ^6(c+d x) \sin ^3(c+d x) (a+a \sin (c+d x))^3 \, dx\) [606]
\(\int \cos ^6(c+d x) \sin ^2(c+d x) (a+a \sin (c+d x))^3 \, dx\) [607]
\(\int \cos ^6(c+d x) \sin (c+d x) (a+a \sin (c+d x))^3 \, dx\) [608]
\(\int \cos ^5(c+d x) \cot (c+d x) (a+a \sin (c+d x))^3 \, dx\) [609]
\(\int \cos ^4(c+d x) \cot ^2(c+d x) (a+a \sin (c+d x))^3 \, dx\) [610]
\(\int \cos ^3(c+d x) \cot ^3(c+d x) (a+a \sin (c+d x))^3 \, dx\) [611]
\(\int \cos ^2(c+d x) \cot ^4(c+d x) (a+a \sin (c+d x))^3 \, dx\) [612]
\(\int \cos (c+d x) \cot ^5(c+d x) (a+a \sin (c+d x))^3 \, dx\) [613]
\(\int \cot ^6(c+d x) (a+a \sin (c+d x))^3 \, dx\) [614]
\(\int \cot ^6(c+d x) \csc (c+d x) (a+a \sin (c+d x))^3 \, dx\) [615]
\(\int \cot ^6(c+d x) \csc ^2(c+d x) (a+a \sin (c+d x))^3 \, dx\) [616]
\(\int \cot ^6(c+d x) \csc ^3(c+d x) (a+a \sin (c+d x))^3 \, dx\) [617]
\(\int \cot ^6(c+d x) \csc ^4(c+d x) (a+a \sin (c+d x))^3 \, dx\) [618]
\(\int \cot ^6(c+d x) \csc ^5(c+d x) (a+a \sin (c+d x))^3 \, dx\) [619]
\(\int \cot ^6(c+d x) \csc ^6(c+d x) (a+a \sin (c+d x))^3 \, dx\) [620]
\(\int \cot ^6(c+d x) \csc ^7(c+d x) (a+a \sin (c+d x))^3 \, dx\) [621]
\(\int \cot ^6(c+d x) \csc ^8(c+d x) (a+a \sin (c+d x))^3 \, dx\) [622]
\(\int \cos ^2(c+d x) \cot ^4(c+d x) (a+a \sin (c+d x))^4 \, dx\) [623]
\(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin ^4(c+d x)}{a+a \sin (c+d x)} \, dx\) [624]
\(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin ^3(c+d x)}{a+a \sin (c+d x)} \, dx\) [625]
\(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin ^2(c+d x)}{a+a \sin (c+d x)} \, dx\) [626]
\(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin (c+d x)}{a+a \sin (c+d x)} \, dx\) [627]
\(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \cot (c+d x)}{a+a \sin (c+d x)} \, dx\) [628]
\(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \cot ^2(c+d x)}{a+a \sin (c+d x)} \, dx\) [629]
\(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot ^3(c+d x)}{a+a \sin (c+d x)} \, dx\) [630]
\(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^4(c+d x)}{a+a \sin (c+d x)} \, dx\) [631]
\(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^5(c+d x)}{a+a \sin (c+d x)} \, dx\) [632]
\(\int \genfrac {}{}{}{}{\cot ^6(c+d x)}{a+a \sin (c+d x)} \, dx\) [633]
\(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin ^3(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [634]
\(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin ^2(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [635]
\(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin (c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [636]
\(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \cot (c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [637]
\(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \cot ^2(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [638]
\(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot ^3(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [639]
\(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^4(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [640]
\(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^5(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [641]
\(\int \genfrac {}{}{}{}{\cot ^6(c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [642]
\(\int \genfrac {}{}{}{}{\cot ^6(c+d x) \csc (c+d x)}{(a+a \sin (c+d x))^2} \, dx\) [643]
\(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin ^3(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [644]
\(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin ^2(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [645]
\(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin (c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [646]
\(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \cot (c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [647]
\(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \cot ^2(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [648]
\(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot ^3(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [649]
\(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^4(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [650]
\(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^5(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [651]
\(\int \genfrac {}{}{}{}{\cot ^6(c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [652]
\(\int \cos ^6(c+d x) \sin ^n(c+d x) (a+a \sin (c+d x))^3 \, dx\) [653]
\(\int \cos ^6(c+d x) \sin ^n(c+d x) (a+a \sin (c+d x))^2 \, dx\) [654]
\(\int \cos ^6(c+d x) \sin ^n(c+d x) (a+a \sin (c+d x)) \, dx\) [655]
\(\int \cos ^7(c+d x) \sin ^6(c+d x) (a+a \sin (c+d x)) \, dx\) [656]
\(\int \cos ^7(c+d x) \sin ^5(c+d x) (a+a \sin (c+d x)) \, dx\) [657]
\(\int \cos ^7(c+d x) \sin ^4(c+d x) (a+a \sin (c+d x)) \, dx\) [658]
\(\int \cos ^7(c+d x) \sin ^3(c+d x) (a+a \sin (c+d x)) \, dx\) [659]
\(\int \cos ^7(c+d x) \sin ^2(c+d x) (a+a \sin (c+d x)) \, dx\) [660]
\(\int \cos ^7(c+d x) \sin (c+d x) (a+a \sin (c+d x)) \, dx\) [661]
\(\int \cos ^6(c+d x) \cot (c+d x) (a+a \sin (c+d x)) \, dx\) [662]
\(\int \cos ^5(c+d x) \cot ^2(c+d x) (a+a \sin (c+d x)) \, dx\) [663]
\(\int \cos ^4(c+d x) \cot ^3(c+d x) (a+a \sin (c+d x)) \, dx\) [664]
\(\int \cos ^3(c+d x) \cot ^4(c+d x) (a+a \sin (c+d x)) \, dx\) [665]
\(\int \cos ^2(c+d x) \cot ^5(c+d x) (a+a \sin (c+d x)) \, dx\) [666]
\(\int \cos (c+d x) \cot ^6(c+d x) (a+a \sin (c+d x)) \, dx\) [667]
\(\int \cot ^7(c+d x) (a+a \sin (c+d x)) \, dx\) [668]
\(\int \cot ^7(c+d x) \csc (c+d x) (a+a \sin (c+d x)) \, dx\) [669]
\(\int \cot ^7(c+d x) \csc ^2(c+d x) (a+a \sin (c+d x)) \, dx\) [670]
\(\int \cot ^7(c+d x) \csc ^3(c+d x) (a+a \sin (c+d x)) \, dx\) [671]
\(\int \cot ^7(c+d x) \csc ^4(c+d x) (a+a \sin (c+d x)) \, dx\) [672]
\(\int \cot ^7(c+d x) \csc ^5(c+d x) (a+a \sin (c+d x)) \, dx\) [673]
\(\int \cot ^7(c+d x) \csc ^6(c+d x) (a+a \sin (c+d x)) \, dx\) [674]
\(\int \cot ^7(c+d x) \csc ^7(c+d x) (a+a \sin (c+d x)) \, dx\) [675]
\(\int \cot ^7(c+d x) \csc ^8(c+d x) (a+a \sin (c+d x)) \, dx\) [676]
\(\int \genfrac {}{}{}{}{\cos ^7(c+d x) \sin ^6(c+d x)}{a+a \sin (c+d x)} \, dx\) [677]
\(\int \genfrac {}{}{}{}{\cos ^7(c+d x) \sin ^5(c+d x)}{a+a \sin (c+d x)} \, dx\) [678]
\(\int \genfrac {}{}{}{}{\cos ^7(c+d x) \sin ^4(c+d x)}{a+a \sin (c+d x)} \, dx\) [679]
\(\int \genfrac {}{}{}{}{\cos ^7(c+d x) \sin ^3(c+d x)}{a+a \sin (c+d x)} \, dx\) [680]
\(\int \genfrac {}{}{}{}{\cos ^7(c+d x) \sin ^2(c+d x)}{a+a \sin (c+d x)} \, dx\) [681]
\(\int \genfrac {}{}{}{}{\cos ^7(c+d x) \sin (c+d x)}{a+a \sin (c+d x)} \, dx\) [682]
\(\int \genfrac {}{}{}{}{\cos ^7(c+d x)}{a+a \sin (c+d x)} \, dx\) [683]
\(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \cot (c+d x)}{a+a \sin (c+d x)} \, dx\) [684]
\(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \cot ^2(c+d x)}{a+a \sin (c+d x)} \, dx\) [685]
\(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \cot ^3(c+d x)}{a+a \sin (c+d x)} \, dx\) [686]
\(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot ^4(c+d x)}{a+a \sin (c+d x)} \, dx\) [687]
\(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^5(c+d x)}{a+a \sin (c+d x)} \, dx\) [688]
\(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^6(c+d x)}{a+a \sin (c+d x)} \, dx\) [689]
\(\int \genfrac {}{}{}{}{\cot ^7(c+d x)}{a+a \sin (c+d x)} \, dx\) [690]
\(\int \genfrac {}{}{}{}{\cot ^7(c+d x) \csc (c+d x)}{a+a \sin (c+d x)} \, dx\) [691]
\(\int \genfrac {}{}{}{}{\cot ^7(c+d x) \csc ^2(c+d x)}{a+a \sin (c+d x)} \, dx\) [692]
\(\int \genfrac {}{}{}{}{\cot ^7(c+d x) \csc ^3(c+d x)}{a+a \sin (c+d x)} \, dx\) [693]
\(\int \genfrac {}{}{}{}{\cot ^7(c+d x) \csc ^4(c+d x)}{a+a \sin (c+d x)} \, dx\) [694]
\(\int \genfrac {}{}{}{}{\cot ^7(c+d x) \csc ^5(c+d x)}{a+a \sin (c+d x)} \, dx\) [695]
\(\int \genfrac {}{}{}{}{\cot ^7(c+d x) \csc ^6(c+d x)}{a+a \sin (c+d x)} \, dx\) [696]
\(\int \cos ^7(c+d x) \sin ^n(c+d x) (a+a \sin (c+d x))^3 \, dx\) [697]
\(\int \cos ^7(c+d x) \sin ^n(c+d x) (a+a \sin (c+d x))^2 \, dx\) [698]
\(\int \cos ^7(c+d x) \sin ^n(c+d x) (a+a \sin (c+d x)) \, dx\) [699]
\(\int \genfrac {}{}{}{}{\cos ^7(c+d x) \sin ^n(c+d x)}{a+a \sin (c+d x)} \, dx\) [700]