3.10.1 \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) \tan ^6(c+d x)}{a+a \sin (c+d x)} \, dx\) [901]
3.10.2 \(\int \genfrac {}{}{}{}{\sec ^4(c+d x) \tan ^5(c+d x)}{a+a \sin (c+d x)} \, dx\) [902]
3.10.3 \(\int \genfrac {}{}{}{}{\sec ^5(c+d x) \tan ^4(c+d x)}{a+a \sin (c+d x)} \, dx\) [903]
3.10.4 \(\int \genfrac {}{}{}{}{\sec ^6(c+d x) \tan ^3(c+d x)}{a+a \sin (c+d x)} \, dx\) [904]
3.10.5 \(\int \genfrac {}{}{}{}{\sec ^7(c+d x) \tan ^2(c+d x)}{a+a \sin (c+d x)} \, dx\) [905]
3.10.6 \(\int \genfrac {}{}{}{}{\sec ^8(c+d x) \tan (c+d x)}{a+a \sin (c+d x)} \, dx\) [906]
3.10.7 \(\int \genfrac {}{}{}{}{\sec ^9(c+d x)}{a+a \sin (c+d x)} \, dx\) [907]
3.10.8 \(\int \genfrac {}{}{}{}{\csc (c+d x) \sec ^9(c+d x)}{a+a \sin (c+d x)} \, dx\) [908]
3.10.9 \(\int \genfrac {}{}{}{}{\csc ^2(c+d x) \sec ^9(c+d x)}{a+a \sin (c+d x)} \, dx\) [909]
3.10.10 \(\int \genfrac {}{}{}{}{\csc ^3(c+d x) \sec ^9(c+d x)}{a+a \sin (c+d x)} \, dx\) [910]
3.10.11 \(\int (g \sec (e+f x))^p (d \sin (e+f x))^n (a+a \sin (e+f x))^m \, dx\) [911]
3.10.12 \(\int \cos (e+f x) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [912]
3.10.13 \(\int \cos (e+f x) (a+a \sin (e+f x))^4 (c+d \sin (e+f x))^n \, dx\) [913]
3.10.14 \(\int \cos (e+f x) (a+a \sin (e+f x))^3 (c+d \sin (e+f x))^n \, dx\) [914]
3.10.15 \(\int \cos (e+f x) (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^n \, dx\) [915]
3.10.16 \(\int \cos (e+f x) (a+a \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [916]
3.10.17 \(\int \genfrac {}{}{}{}{\cos (e+f x) (c+d \sin (e+f x))^n}{a+a \sin (e+f x)} \, dx\) [917]
3.10.18 \(\int \genfrac {}{}{}{}{\cos (e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx\) [918]
3.10.19 \(\int \genfrac {}{}{}{}{\cos (e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^3} \, dx\) [919]
3.10.20 \(\int \cos (e+f x) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^4 \, dx\) [920]
3.10.21 \(\int \cos (e+f x) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^3 \, dx\) [921]
3.10.22 \(\int \cos (e+f x) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^2 \, dx\) [922]
3.10.23 \(\int \cos (e+f x) (a+a \sin (e+f x))^m (c+d \sin (e+f x)) \, dx\) [923]
3.10.24 \(\int \genfrac {}{}{}{}{\cos (e+f x) (a+a \sin (e+f x))^m}{c+d \sin (e+f x)} \, dx\) [924]
3.10.25 \(\int \genfrac {}{}{}{}{\cos (e+f x) (a+a \sin (e+f x))^m}{(c+d \sin (e+f x))^2} \, dx\) [925]
3.10.26 \(\int \genfrac {}{}{}{}{\cos (e+f x) (a+a \sin (e+f x))^m}{(c+d \sin (e+f x))^3} \, dx\) [926]
3.10.27 \(\int \cos (c+d x) \sin ^n(c+d x) (a+a \sin (c+d x))^m \, dx\) [927]
3.10.28 \(\int \cos (c+d x) \sin ^4(c+d x) (a+a \sin (c+d x))^m \, dx\) [928]
3.10.29 \(\int \cos (c+d x) \sin ^3(c+d x) (a+a \sin (c+d x))^m \, dx\) [929]
3.10.30 \(\int \cos (c+d x) \sin ^2(c+d x) (a+a \sin (c+d x))^m \, dx\) [930]
3.10.31 \(\int \cos (c+d x) \sin (c+d x) (a+a \sin (c+d x))^m \, dx\) [931]
3.10.32 \(\int \cot (c+d x) (a+a \sin (c+d x))^m \, dx\) [932]
3.10.33 \(\int \cot (c+d x) \csc (c+d x) (a+a \sin (c+d x))^m \, dx\) [933]
3.10.34 \(\int \cot (c+d x) \csc ^2(c+d x) (a+a \sin (c+d x))^m \, dx\) [934]
3.10.35 \(\int \cos ^2(e+f x) (a+a \sin (e+f x)) (c+d \sin (e+f x)) \, dx\) [935]
3.10.36 \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{(a+a \sin (e+f x))^{3/2} (c+d \sin (e+f x))} \, dx\) [936]
3.10.37 \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{(a+a \sin (e+f x))^{3/2} \sqrt {c+d \sin (e+f x)}} \, dx\) [937]
3.10.38 \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [938]
3.10.39 \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^3 (c+d \sin (e+f x))^n \, dx\) [939]
3.10.40 \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^n \, dx\) [940]
3.10.41 \(\int \cos ^2(e+f x) (a+a \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [941]
3.10.42 \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+d \sin (e+f x))^n}{a+a \sin (e+f x)} \, dx\) [942]
3.10.43 \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx\) [943]
3.10.44 \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^3} \, dx\) [944]
3.10.45 \(\int \cos ^4(e+f x) (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [945]
3.10.46 \(\int \cos ^4(e+f x) (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^n \, dx\) [946]
3.10.47 \(\int \cos ^4(e+f x) (a+a \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [947]
3.10.48 \(\int \genfrac {}{}{}{}{\cos ^4(e+f x) (c+d \sin (e+f x))^n}{a+a \sin (e+f x)} \, dx\) [948]
3.10.49 \(\int \genfrac {}{}{}{}{\cos ^4(e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx\) [949]
3.10.50 \(\int \genfrac {}{}{}{}{\cos ^4(e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^3} \, dx\) [950]
3.10.51 \(\int \genfrac {}{}{}{}{\cos ^4(e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^4} \, dx\) [951]
3.10.52 \(\int \genfrac {}{}{}{}{\cos ^4(e+f x) (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^5} \, dx\) [952]
3.10.53 \(\int \cos ^7(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [953]
3.10.54 \(\int \cos ^5(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [954]
3.10.55 \(\int \cos ^3(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [955]
3.10.56 \(\int \cos (c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [956]
3.10.57 \(\int \sec (c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [957]
3.10.58 \(\int \sec ^3(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [958]
3.10.59 \(\int \sec ^5(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [959]
3.10.60 \(\int \sec ^7(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [960]
3.10.61 \(\int \cos ^6(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [961]
3.10.62 \(\int \cos ^4(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [962]
3.10.63 \(\int \cos ^2(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [963]
3.10.64 \(\int \sec ^2(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [964]
3.10.65 \(\int \sec ^4(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [965]
3.10.66 \(\int \sec ^6(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [966]
3.10.67 \(\int \sec ^8(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [967]
3.10.68 \(\int \sec ^{10}(c+d x) (a+a \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [968]
3.10.69 \(\int \cos ^7(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [969]
3.10.70 \(\int \cos ^5(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [970]
3.10.71 \(\int \cos ^3(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [971]
3.10.72 \(\int \cos (c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [972]
3.10.73 \(\int \sec (c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [973]
3.10.74 \(\int \sec ^3(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [974]
3.10.75 \(\int \sec ^5(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [975]
3.10.76 \(\int \sec ^7(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [976]
3.10.77 \(\int \cos ^6(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [977]
3.10.78 \(\int \cos ^4(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [978]
3.10.79 \(\int \cos ^2(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [979]
3.10.80 \(\int \sec ^2(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [980]
3.10.81 \(\int \sec ^4(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [981]
3.10.82 \(\int \sec ^6(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [982]
3.10.83 \(\int \sec ^8(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [983]
3.10.84 \(\int \sec ^{10}(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [984]
3.10.85 \(\int \sec ^{12}(c+d x) (a+a \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [985]
3.10.86 \(\int \cos ^7(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [986]
3.10.87 \(\int \cos ^5(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [987]
3.10.88 \(\int \cos ^3(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [988]
3.10.89 \(\int \cos (c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [989]
3.10.90 \(\int \sec (c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [990]
3.10.91 \(\int \sec ^3(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [991]
3.10.92 \(\int \sec ^5(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [992]
3.10.93 \(\int \sec ^7(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [993]
3.10.94 \(\int \sec ^9(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [994]
3.10.95 \(\int \cos ^6(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [995]
3.10.96 \(\int \cos ^4(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [996]
3.10.97 \(\int \cos ^2(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [997]
3.10.98 \(\int \sec ^2(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [998]
3.10.99 \(\int \sec ^4(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [999]
3.10.100 \(\int \sec ^6(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [1000]