3.11.1 \(\int \sec ^8(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [1001]
  3.11.2 \(\int \sec ^{10}(c+d x) (a+a \sin (c+d x))^3 (A+B \sin (c+d x)) \, dx\) [1002]
  3.11.3 \(\int \genfrac {}{}{}{}{\cos ^7(c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1003]
  3.11.4 \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1004]
  3.11.5 \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1005]
  3.11.6 \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1006]
  3.11.7 \(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1007]
  3.11.8 \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1008]
  3.11.9 \(\int \genfrac {}{}{}{}{\sec ^5(c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1009]
  3.11.10 \(\int \genfrac {}{}{}{}{\sec ^7(c+d x) (A+B \sin (c+d x))}{a+a \sin (c+d x)} \, dx\) [1010]
  3.11.11 \(\int \genfrac {}{}{}{}{\cos ^7(c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1011]
  3.11.12 \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1012]
  3.11.13 \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1013]
  3.11.14 \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1014]
  3.11.15 \(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1015]
  3.11.16 \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1016]
  3.11.17 \(\int \genfrac {}{}{}{}{\sec ^5(c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1017]
  3.11.18 \(\int \genfrac {}{}{}{}{\sec ^7(c+d x) (A+B \sin (c+d x))}{(a+a \sin (c+d x))^2} \, dx\) [1018]
  3.11.19 \(\int (g \cos (e+f x))^p (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1019]
  3.11.20 \(\int \cos ^7(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1020]
  3.11.21 \(\int \cos ^5(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1021]
  3.11.22 \(\int \cos ^3(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1022]
  3.11.23 \(\int \cos (e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1023]
  3.11.24 \(\int \sec (e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1024]
  3.11.25 \(\int \sec ^3(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1025]
  3.11.26 \(\int \sec ^5(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1026]
  3.11.27 \(\int \cos ^6(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1027]
  3.11.28 \(\int \cos ^4(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1028]
  3.11.29 \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1029]
  3.11.30 \(\int \sec ^2(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1030]
  3.11.31 \(\int \sec ^4(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1031]
  3.11.32 \(\int \sec ^6(e+f x) (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1032]
  3.11.33 \(\int (g \cos (e+f x))^p (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-4-p} \, dx\) [1033]
  3.11.34 \(\int (g \cos (e+f x))^p (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-3-p} \, dx\) [1034]
  3.11.35 \(\int (g \cos (e+f x))^p (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-2-p} \, dx\) [1035]
  3.11.36 \(\int (g \cos (e+f x))^p (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-1-p} \, dx\) [1036]
  3.11.37 \(\int (g \cos (e+f x))^p (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-p} \, dx\) [1037]
  3.11.38 \(\int (g \cos (e+f x))^p (A+B \sin (e+f x)) (c-c \sin (e+f x))^{1-p} \, dx\) [1038]
  3.11.39 \(\int (g \cos (e+f x))^p (A+B \sin (e+f x)) (c-c \sin (e+f x))^{2-p} \, dx\) [1039]
  3.11.40 \(\int (g \cos (e+f x))^p (a+a \sin (e+f x))^m (A m-A (1+m+p) \sin (e+f x)) \, dx\) [1040]
  3.11.41 \(\int (g \cos (e+f x))^p (a-a \sin (e+f x))^m (A m+A (1+m+p) \sin (e+f x)) \, dx\) [1041]
  3.11.42 \(\int (g \cos (e+f x))^p (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [1042]
  3.11.43 \(\int (g \cos (e+f x))^p (a+a \sin (e+f x))^2 (c+d \sin (e+f x))^n \, dx\) [1043]
  3.11.44 \(\int (g \cos (e+f x))^p (a+a \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [1044]
  3.11.45 \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^p (c+d \sin (e+f x))^n}{a+a \sin (e+f x)} \, dx\) [1045]
  3.11.46 \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^p (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^2} \, dx\) [1046]
  3.11.47 \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^p (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^3} \, dx\) [1047]
  3.11.48 \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^p (c+d \sin (e+f x))^n}{(a+a \sin (e+f x))^4} \, dx\) [1048]
  3.11.49 \(\int (g \sec (e+f x))^p (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [1049]
  3.11.50 \(\int \cos ^2(c+d x) \sin ^3(c+d x) (a+b \sin (c+d x)) \, dx\) [1050]
  3.11.51 \(\int \cos ^2(c+d x) \sin ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1051]
  3.11.52 \(\int \cos ^2(c+d x) \sin (c+d x) (a+b \sin (c+d x)) \, dx\) [1052]
  3.11.53 \(\int \cos (c+d x) \cot (c+d x) (a+b \sin (c+d x)) \, dx\) [1053]
  3.11.54 \(\int \cot ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1054]
  3.11.55 \(\int \cot ^2(c+d x) \csc (c+d x) (a+b \sin (c+d x)) \, dx\) [1055]
  3.11.56 \(\int \cot ^2(c+d x) \csc ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1056]
  3.11.57 \(\int \cot ^2(c+d x) \csc ^3(c+d x) (a+b \sin (c+d x)) \, dx\) [1057]
  3.11.58 \(\int \cot ^2(c+d x) \csc ^4(c+d x) (a+b \sin (c+d x)) \, dx\) [1058]
  3.11.59 \(\int \cos ^2(c+d x) \sin ^3(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1059]
  3.11.60 \(\int \cos ^2(c+d x) \sin ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1060]
  3.11.61 \(\int \cos ^2(c+d x) \sin (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1061]
  3.11.62 \(\int \cos (c+d x) \cot (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1062]
  3.11.63 \(\int \cot ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1063]
  3.11.64 \(\int \cot ^2(c+d x) \csc (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1064]
  3.11.65 \(\int \cot ^2(c+d x) \csc ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1065]
  3.11.66 \(\int \cot ^2(c+d x) \csc ^3(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1066]
  3.11.67 \(\int \cot ^2(c+d x) \csc ^4(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1067]
  3.11.68 \(\int \cot ^2(c+d x) \csc ^5(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1068]
  3.11.69 \(\int \cos ^2(c+d x) \sin ^2(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1069]
  3.11.70 \(\int \cos ^2(c+d x) \sin (c+d x) (a+b \sin (c+d x))^3 \, dx\) [1070]
  3.11.71 \(\int \cos (c+d x) \cot (c+d x) (a+b \sin (c+d x))^3 \, dx\) [1071]
  3.11.72 \(\int \cot ^2(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1072]
  3.11.73 \(\int \cot ^2(c+d x) \csc (c+d x) (a+b \sin (c+d x))^3 \, dx\) [1073]
  3.11.74 \(\int \cot ^2(c+d x) \csc ^2(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1074]
  3.11.75 \(\int \cot ^2(c+d x) \csc ^3(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1075]
  3.11.76 \(\int \cot ^2(c+d x) \csc ^4(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1076]
  3.11.77 \(\int \cot ^2(c+d x) \csc ^5(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1077]
  3.11.78 \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin ^3(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1078]
  3.11.79 \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1079]
  3.11.80 \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1080]
  3.11.81 \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1081]
  3.11.82 \(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1082]
  3.11.83 \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) \csc (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1083]
  3.11.84 \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) \csc ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1084]
  3.11.85 \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin ^3(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1085]
  3.11.86 \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1086]
  3.11.87 \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin (c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1087]
  3.11.88 \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot (c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1088]
  3.11.89 \(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1089]
  3.11.90 \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) \csc (c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1090]
  3.11.91 \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{\sqrt {d \sin (e+f x)} (a+b \sin (e+f x))^{5/2}} \, dx\) [1091]
  3.11.92 \(\int \cos ^4(c+d x) \sin ^4(c+d x) (a+b \sin (c+d x)) \, dx\) [1092]
  3.11.93 \(\int \cos ^4(c+d x) \sin ^3(c+d x) (a+b \sin (c+d x)) \, dx\) [1093]
  3.11.94 \(\int \cos ^4(c+d x) \sin ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1094]
  3.11.95 \(\int \cos ^4(c+d x) \sin (c+d x) (a+b \sin (c+d x)) \, dx\) [1095]
  3.11.96 \(\int \cos ^3(c+d x) \cot (c+d x) (a+b \sin (c+d x)) \, dx\) [1096]
  3.11.97 \(\int \cos ^2(c+d x) \cot ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1097]
  3.11.98 \(\int \cos (c+d x) \cot ^3(c+d x) (a+b \sin (c+d x)) \, dx\) [1098]
  3.11.99 \(\int \cot ^4(c+d x) (a+b \sin (c+d x)) \, dx\) [1099]
  3.11.100 \(\int \cot ^4(c+d x) \csc (c+d x) (a+b \sin (c+d x)) \, dx\) [1100]