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