\(\int \sec ^8(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [1001]
   \(\int \sec ^{10}(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [1002]
   \(\int \genfrac {}{}{}{}{\cos ^7(c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1003]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1004]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1005]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1006]
   \(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1007]
   \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1008]
   \(\int \genfrac {}{}{}{}{\sec ^5(c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1009]
   \(\int \genfrac {}{}{}{}{\sec ^7(c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1010]
   \(\int \genfrac {}{}{}{}{\cos ^7(c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1011]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1012]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1013]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1014]
   \(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1015]
   \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1016]
   \(\int \genfrac {}{}{}{}{\sec ^5(c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1017]
   \(\int \genfrac {}{}{}{}{\sec ^7(c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1018]
   \(\int (g \cos (e+f x))^p (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1019]
   \(\int \cos ^7(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1020]
   \(\int \cos ^5(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1021]
   \(\int \cos ^3(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1022]
   \(\int \cos (e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1023]
   \(\int \sec (e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1024]
   \(\int \sec ^3(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1025]
   \(\int \sec ^5(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1026]
   \(\int \cos ^6(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1027]
   \(\int \cos ^4(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1028]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1029]
   \(\int \sec ^2(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1030]
   \(\int \sec ^4(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1031]
   \(\int \sec ^6(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1032]
   \(\int (g \cos (e+f x))^p (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-4-p} \, dx\) [1033]
   \(\int (g \cos (e+f x))^p (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-3-p} \, dx\) [1034]
   \(\int (g \cos (e+f x))^p (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-2-p} \, dx\) [1035]
   \(\int (g \cos (e+f x))^p (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-1-p} \, dx\) [1036]
   \(\int (g \cos (e+f x))^p (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-p} \, dx\) [1037]
   \(\int (g \cos (e+f x))^p (A+B \sin (e+f x)) (c-c \sin (e+f x))^{1-p} \, dx\) [1038]
   \(\int (g \cos (e+f x))^p (A+B \sin (e+f x)) (c-c \sin (e+f x))^{2-p} \, dx\) [1039]
   \(\int (g \cos (e+f x))^p (a+a \sin (e+f x))^m (A m-A (1+m+p) \sin (e+f x)) \, dx\) [1040]
   \(\int (g \cos (e+f x))^p (a-a \sin (e+f x))^m (A m+A (1+m+p) \sin (e+f x)) \, dx\) [1041]
   \(\int (g \cos (e+f x))^p (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [1042]
   \(\int (g \cos (e+f x))^p (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^n \, dx\) [1043]
   \(\int (g \cos (e+f x))^p (a+a \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [1044]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^p (c+d \sin (e+f x))^n}{a+a \sin (e+f x)} \, dx\) [1045]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^p (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx\) [1046]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^p (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^3} \, dx\) [1047]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^p (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^4} \, dx\) [1048]
   \(\int (g \sec (e+f x))^p (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [1049]
   \(\int \cos ^2(c+d x) \sin ^3(c+d x) (a+b \sin (c+d x)) \, dx\) [1050]
   \(\int \cos ^2(c+d x) \sin ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1051]
   \(\int \cos ^2(c+d x) \sin (c+d x) (a+b \sin (c+d x)) \, dx\) [1052]
   \(\int \cos (c+d x) \cot (c+d x) (a+b \sin (c+d x)) \, dx\) [1053]
   \(\int \cot ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1054]
   \(\int \cot ^2(c+d x) \csc (c+d x) (a+b \sin (c+d x)) \, dx\) [1055]
   \(\int \cot ^2(c+d x) \csc ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1056]
   \(\int \cot ^2(c+d x) \csc ^3(c+d x) (a+b \sin (c+d x)) \, dx\) [1057]
   \(\int \cot ^2(c+d x) \csc ^4(c+d x) (a+b \sin (c+d x)) \, dx\) [1058]
   \(\int \cos ^2(c+d x) \sin ^3(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1059]
   \(\int \cos ^2(c+d x) \sin ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1060]
   \(\int \cos ^2(c+d x) \sin (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1061]
   \(\int \cos (c+d x) \cot (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1062]
   \(\int \cot ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1063]
   \(\int \cot ^2(c+d x) \csc (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1064]
   \(\int \cot ^2(c+d x) \csc ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1065]
   \(\int \cot ^2(c+d x) \csc ^3(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1066]
   \(\int \cot ^2(c+d x) \csc ^4(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1067]
   \(\int \cot ^2(c+d x) \csc ^5(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1068]
   \(\int \cos ^2(c+d x) \sin ^2(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1069]
   \(\int \cos ^2(c+d x) \sin (c+d x) (a+b \sin (c+d x))^3 \, dx\) [1070]
   \(\int \cos (c+d x) \cot (c+d x) (a+b \sin (c+d x))^3 \, dx\) [1071]
   \(\int \cot ^2(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1072]
   \(\int \cot ^2(c+d x) \csc (c+d x) (a+b \sin (c+d x))^3 \, dx\) [1073]
   \(\int \cot ^2(c+d x) \csc ^2(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1074]
   \(\int \cot ^2(c+d x) \csc ^3(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1075]
   \(\int \cot ^2(c+d x) \csc ^4(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1076]
   \(\int \cot ^2(c+d x) \csc ^5(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1077]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin ^3(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1078]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1079]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1080]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1081]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1082]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) \csc (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1083]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) \csc ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1084]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin ^3(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1085]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1086]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin (c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1087]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot (c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1088]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1089]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) \csc (c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1090]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{\sqrt {d \sin (e+f x)} (a+b \sin (e+f x))^{5/2}} \, dx\) [1091]
   \(\int \cos ^4(c+d x) \sin ^4(c+d x) (a+b \sin (c+d x)) \, dx\) [1092]
   \(\int \cos ^4(c+d x) \sin ^3(c+d x) (a+b \sin (c+d x)) \, dx\) [1093]
   \(\int \cos ^4(c+d x) \sin ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1094]
   \(\int \cos ^4(c+d x) \sin (c+d x) (a+b \sin (c+d x)) \, dx\) [1095]
   \(\int \cos ^3(c+d x) \cot (c+d x) (a+b \sin (c+d x)) \, dx\) [1096]
   \(\int \cos ^2(c+d x) \cot ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1097]
   \(\int \cos (c+d x) \cot ^3(c+d x) (a+b \sin (c+d x)) \, dx\) [1098]
   \(\int \cot ^4(c+d x) (a+b \sin (c+d x)) \, dx\) [1099]
   \(\int \cot ^4(c+d x) \csc (c+d x) (a+b \sin (c+d x)) \, dx\) [1100]