\(\int \genfrac {}{}{}{}{\sec ^3(c+d x) \tan ^6(c+d x)}{a+a \sin (c+d x)} \, dx\) [901]
   \(\int \genfrac {}{}{}{}{\sec ^4(c+d x) \tan ^5(c+d x)}{a+a \sin (c+d x)} \, dx\) [902]
   \(\int \genfrac {}{}{}{}{\sec ^5(c+d x) \tan ^4(c+d x)}{a+a \sin (c+d x)} \, dx\) [903]
   \(\int \genfrac {}{}{}{}{\sec ^6(c+d x) \tan ^3(c+d x)}{a+a \sin (c+d x)} \, dx\) [904]
   \(\int \genfrac {}{}{}{}{\sec ^7(c+d x) \tan ^2(c+d x)}{a+a \sin (c+d x)} \, dx\) [905]
   \(\int \genfrac {}{}{}{}{\sec ^8(c+d x) \tan (c+d x)}{a+a \sin (c+d x)} \, dx\) [906]
   \(\int \genfrac {}{}{}{}{\sec ^9(c+d x)}{a+a \sin (c+d x)} \, dx\) [907]
   \(\int \genfrac {}{}{}{}{\csc (c+d x) \sec ^9(c+d x)}{a+a \sin (c+d x)} \, dx\) [908]
   \(\int \genfrac {}{}{}{}{\csc ^2(c+d x) \sec ^9(c+d x)}{a+a \sin (c+d x)} \, dx\) [909]
   \(\int \genfrac {}{}{}{}{\csc ^3(c+d x) \sec ^9(c+d x)}{a+a \sin (c+d x)} \, dx\) [910]
   \(\int (g \sec (e+f x))^p (d \sin (e+f x))^n (a+a \sin (e+f x))^m \, dx\) [911]
   \(\int \cos (e+f x) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [912]
   \(\int \cos (e+f x) (a+a \sin (e+f x))^4 (c+d \sin (e+f x))^n \, dx\) [913]
   \(\int \cos (e+f x) (a+a \sin (e+f x))^3 (c+d \sin (e+f x))^n \, dx\) [914]
   \(\int \cos (e+f x) (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^n \, dx\) [915]
   \(\int \cos (e+f x) (a+a \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [916]
   \(\int \genfrac {}{}{}{}{\cos (e+f x) (c+d \sin (e+f x))^n}{a+a \sin (e+f x)} \, dx\) [917]
   \(\int \genfrac {}{}{}{}{\cos (e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx\) [918]
   \(\int \genfrac {}{}{}{}{\cos (e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^3} \, dx\) [919]
   \(\int \cos (e+f x) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^4 \, dx\) [920]
   \(\int \cos (e+f x) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^3 \, dx\) [921]
   \(\int \cos (e+f x) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^2 \, dx\) [922]
   \(\int \cos (e+f x) (a+a \sin (e+f x))^m (c+d \sin (e+f x)) \, dx\) [923]
   \(\int \genfrac {}{}{}{}{\cos (e+f x) (a+a \sin (e+f x))^m}{c+d \sin (e+f x)} \, dx\) [924]
   \(\int \genfrac {}{}{}{}{\cos (e+f x) (a+a \sin (e+f x))^m}{(c+d \sin (e+f x))^2} \, dx\) [925]
   \(\int \genfrac {}{}{}{}{\cos (e+f x) (a+a \sin (e+f x))^m}{(c+d \sin (e+f x))^3} \, dx\) [926]
   \(\int \cos (c+d x) \sin ^n(c+d x) (a+a \sin (c+d x))^m \, dx\) [927]
   \(\int \cos (c+d x) \sin ^4(c+d x) (a+a \sin (c+d x))^m \, dx\) [928]
   \(\int \cos (c+d x) \sin ^3(c+d x) (a+a \sin (c+d x))^m \, dx\) [929]
   \(\int \cos (c+d x) \sin ^2(c+d x) (a+a \sin (c+d x))^m \, dx\) [930]
   \(\int \cos (c+d x) \sin (c+d x) (a+a \sin (c+d x))^m \, dx\) [931]
   \(\int \cot (c+d x) (a+a \sin (c+d x))^m \, dx\) [932]
   \(\int \cot (c+d x) \csc (c+d x) (a+a \sin (c+d x))^m \, dx\) [933]
   \(\int \cot (c+d x) \csc ^2(c+d x) (a+a \sin (c+d x))^m \, dx\) [934]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x)) (c+d \sin (e+f x)) \, dx\) [935]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))} \, dx\) [936]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{(a+a \sin (e+f x))^{3/2} \sqrt {c+d \sin (e+f x)}} \, dx\) [937]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [938]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^3 (c+d \sin (e+f x))^n \, dx\) [939]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^n \, dx\) [940]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [941]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+d \sin (e+f x))^n}{a+a \sin (e+f x)} \, dx\) [942]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx\) [943]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^3} \, dx\) [944]
   \(\int \cos ^4(e+f x) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [945]
   \(\int \cos ^4(e+f x) (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^n \, dx\) [946]
   \(\int \cos ^4(e+f x) (a+a \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [947]
   \(\int \genfrac {}{}{}{}{\cos ^4(e+f x) (c+d \sin (e+f x))^n}{a+a \sin (e+f x)} \, dx\) [948]
   \(\int \genfrac {}{}{}{}{\cos ^4(e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx\) [949]
   \(\int \genfrac {}{}{}{}{\cos ^4(e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^3} \, dx\) [950]
   \(\int \genfrac {}{}{}{}{\cos ^4(e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^4} \, dx\) [951]
   \(\int \genfrac {}{}{}{}{\cos ^4(e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^5} \, dx\) [952]
   \(\int \cos ^7(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [953]
   \(\int \cos ^5(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [954]
   \(\int \cos ^3(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [955]
   \(\int \cos (c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [956]
   \(\int \sec (c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [957]
   \(\int \sec ^3(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [958]
   \(\int \sec ^5(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [959]
   \(\int \sec ^7(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [960]
   \(\int \cos ^6(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [961]
   \(\int \cos ^4(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [962]
   \(\int \cos ^2(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [963]
   \(\int \sec ^2(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [964]
   \(\int \sec ^4(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [965]
   \(\int \sec ^6(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [966]
   \(\int \sec ^8(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [967]
   \(\int \sec ^{10}(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [968]
   \(\int \cos ^7(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [969]
   \(\int \cos ^5(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [970]
   \(\int \cos ^3(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [971]
   \(\int \cos (c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [972]
   \(\int \sec (c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [973]
   \(\int \sec ^3(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [974]
   \(\int \sec ^5(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [975]
   \(\int \sec ^7(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [976]
   \(\int \cos ^6(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [977]
   \(\int \cos ^4(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [978]
   \(\int \cos ^2(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [979]
   \(\int \sec ^2(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [980]
   \(\int \sec ^4(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [981]
   \(\int \sec ^6(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [982]
   \(\int \sec ^8(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [983]
   \(\int \sec ^{10}(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [984]
   \(\int \sec ^{12}(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [985]
   \(\int \cos ^7(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [986]
   \(\int \cos ^5(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [987]
   \(\int \cos ^3(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [988]
   \(\int \cos (c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [989]
   \(\int \sec (c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [990]
   \(\int \sec ^3(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [991]
   \(\int \sec ^5(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [992]
   \(\int \sec ^7(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [993]
   \(\int \sec ^9(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [994]
   \(\int \cos ^6(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [995]
   \(\int \cos ^4(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [996]
   \(\int \cos ^2(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [997]
   \(\int \sec ^2(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [998]
   \(\int \sec ^4(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [999]
   \(\int \sec ^6(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [1000]