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3.16
Integrals 1501 to 1563
3.16.1
\(\int (a+b \sin (c+d x))^3 \tan ^5(c+d x) \, dx\) [1501]
3.16.2
\(\int \sec (c+d x) (a+b \sin (c+d x))^3 \tan ^4(c+d x) \, dx\) [1502]
3.16.3
\(\int \sec ^2(c+d x) (a+b \sin (c+d x))^3 \tan ^3(c+d x) \, dx\) [1503]
3.16.4
\(\int \sec ^3(c+d x) (a+b \sin (c+d x))^3 \tan ^2(c+d x) \, dx\) [1504]
3.16.5
\(\int \sec ^4(c+d x) (a+b \sin (c+d x))^3 \tan (c+d x) \, dx\) [1505]
3.16.6
\(\int \csc (c+d x) \sec ^5(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1506]
3.16.7
\(\int \csc ^2(c+d x) \sec ^5(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1507]
3.16.8
\(\int \csc ^3(c+d x) \sec ^5(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1508]
3.16.9
\(\int \sec ^5(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x))^4 \, dx\) [1509]
3.16.10
\(\int \sec ^5(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1510]
3.16.11
\(\int \sec ^5(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1511]
3.16.12
\(\int \sec ^5(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x)) \, dx\) [1512]
3.16.13
\(\int \genfrac {}{}{}{}{\sec ^5(c+d x) \sin ^n(c+d x)}{a+b \sin (c+d x)} \, dx\) [1513]
3.16.14
\(\int \sec ^5(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x))^p \, dx\) [1514]
3.16.15
\(\int \genfrac {}{}{}{}{\sec ^6(e+f x) (a+b \sin (e+f x))^{9/2}}{\sqrt {d \sin (e+f x)}} \, dx\) [1515]
3.16.16
\(\int \cos ^2(e+f x) (a+b \sin (e+f x))^2 (c+d \sin (e+f x))^{4/3} \, dx\) [1516]
3.16.17
\(\int \cos ^2(e+f x) (a+b \sin (e+f x)) (c+d \sin (e+f x))^{4/3} \, dx\) [1517]
3.16.18
\(\int \cos ^2(e+f x) (c+d \sin (e+f x))^{4/3} \, dx\) [1518]
3.16.19
\(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+d \sin (e+f x))^{4/3}}{a+b \sin (e+f x)} \, dx\) [1519]
3.16.20
\(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+d \sin (e+f x))^{4/3}}{(a+b \sin (e+f x))^2} \, dx\) [1520]
3.16.21
\(\int \cos ^2(e+f x) (a+b \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [1521]
3.16.22
\(\int \cos ^2(e+f x) (a+b \sin (e+f x))^m (c+d \sin (e+f x))^{4/3} \, dx\) [1522]
3.16.23
\(\int \cos ^2(e+f x) (a+b \sin (e+f x))^2 (c+d \sin (e+f x))^n \, dx\) [1523]
3.16.24
\(\int \cos ^2(e+f x) (a+b \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [1524]
3.16.25
\(\int \cos ^2(e+f x) (c+d \sin (e+f x))^n \, dx\) [1525]
3.16.26
\(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+d \sin (e+f x))^n}{a+b \sin (e+f x)} \, dx\) [1526]
3.16.27
\(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+d \sin (e+f x))^n}{(a+b \sin (e+f x))^2} \, dx\) [1527]
3.16.28
\(\int \cos ^7(c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1528]
3.16.29
\(\int \cos ^5(c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1529]
3.16.30
\(\int \cos ^3(c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1530]
3.16.31
\(\int \cos (c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1531]
3.16.32
\(\int \sec (c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1532]
3.16.33
\(\int \sec ^3(c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1533]
3.16.34
\(\int \sec ^5(c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1534]
3.16.35
\(\int \sec ^7(c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1535]
3.16.36
\(\int \cos ^7(c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1536]
3.16.37
\(\int \cos ^5(c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1537]
3.16.38
\(\int \cos ^3(c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1538]
3.16.39
\(\int \cos (c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1539]
3.16.40
\(\int \sec (c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1540]
3.16.41
\(\int \sec ^3(c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1541]
3.16.42
\(\int \sec ^5(c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1542]
3.16.43
\(\int \sec ^7(c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1543]
3.16.44
\(\int \genfrac {}{}{}{}{\cos ^7(c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1544]
3.16.45
\(\int \genfrac {}{}{}{}{\cos ^5(c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1545]
3.16.46
\(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1546]
3.16.47
\(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1547]
3.16.48
\(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1548]
3.16.49
\(\int \genfrac {}{}{}{}{\sec ^3(c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1549]
3.16.50
\(\int \genfrac {}{}{}{}{\sec ^5(c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1550]
3.16.51
\(\int \genfrac {}{}{}{}{\sec ^7(c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1551]
3.16.52
\(\int \genfrac {}{}{}{}{\cos ^7(c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1552]
3.16.53
\(\int \genfrac {}{}{}{}{\cos ^5(c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1553]
3.16.54
\(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1554]
3.16.55
\(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1555]
3.16.56
\(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1556]
3.16.57
\(\int \genfrac {}{}{}{}{\sec ^3(c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1557]
3.16.58
\(\int \genfrac {}{}{}{}{\sec ^5(c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1558]
3.16.59
\(\int \genfrac {}{}{}{}{\sec ^7(c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1559]
3.16.60
\(\int (g \cos (e+f x))^{-1-m} (a+b \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1560]
3.16.61
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^p}{(a+b \sin (e+f x)) (c+d \sin (e+f x))} \, dx\) [1561]
3.16.62
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^p}{(a+b \sin (e+f x)) (c+d \sin (e+f x))^2} \, dx\) [1562]
3.16.63
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^p}{(a+b \sin (e+f x)) (c+d \sin (e+f x))} \, dx\) [1563]
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