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3.11
Integrals 1001 to 1100
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]
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