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