\(\int (a+b \sin (c+d x))^3 \tan ^5(c+d x) \, dx\) [1501]
   \(\int \sec (c+d x) (a+b \sin (c+d x))^3 \tan ^4(c+d x) \, dx\) [1502]
   \(\int \sec ^2(c+d x) (a+b \sin (c+d x))^3 \tan ^3(c+d x) \, dx\) [1503]
   \(\int \sec ^3(c+d x) (a+b \sin (c+d x))^3 \tan ^2(c+d x) \, dx\) [1504]
   \(\int \sec ^4(c+d x) (a+b \sin (c+d x))^3 \tan (c+d x) \, dx\) [1505]
   \(\int \csc (c+d x) \sec ^5(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1506]
   \(\int \csc ^2(c+d x) \sec ^5(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1507]
   \(\int \csc ^3(c+d x) \sec ^5(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1508]
   \(\int \sec ^5(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x))^4 \, dx\) [1509]
   \(\int \sec ^5(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1510]
   \(\int \sec ^5(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1511]
   \(\int \sec ^5(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x)) \, dx\) [1512]
   \(\int \genfrac {}{}{}{}{\sec ^5(c+d x) \sin ^n(c+d x)}{a+b \sin (c+d x)} \, dx\) [1513]
   \(\int \sec ^5(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x))^p \, dx\) [1514]
   \(\int \genfrac {}{}{}{}{\sec ^6(e+f x) (a+b \sin (e+f x))^{9/2}}{\sqrt {d \sin (e+f x)}} \, dx\) [1515]
   \(\int \cos ^2(e+f x) (a+b \sin (e+f x))^2 (c+d \sin (e+f x))^{4/3} \, dx\) [1516]
   \(\int \cos ^2(e+f x) (a+b \sin (e+f x)) (c+d \sin (e+f x))^{4/3} \, dx\) [1517]
   \(\int \cos ^2(e+f x) (c+d \sin (e+f x))^{4/3} \, dx\) [1518]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+d \sin (e+f x))^{4/3}}{a+b \sin (e+f x)} \, dx\) [1519]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+d \sin (e+f x))^{4/3}}{(a+b \sin (e+f x))^2} \, dx\) [1520]
   \(\int \cos ^2(e+f x) (a+b \sin (e+f x))^m (c+d \sin (e+f x))^n \, dx\) [1521]
   \(\int \cos ^2(e+f x) (a+b \sin (e+f x))^m (c+d \sin (e+f x))^{4/3} \, dx\) [1522]
   \(\int \cos ^2(e+f x) (a+b \sin (e+f x))^2 (c+d \sin (e+f x))^n \, dx\) [1523]
   \(\int \cos ^2(e+f x) (a+b \sin (e+f x)) (c+d \sin (e+f x))^n \, dx\) [1524]
   \(\int \cos ^2(e+f x) (c+d \sin (e+f x))^n \, dx\) [1525]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+d \sin (e+f x))^n}{a+b \sin (e+f x)} \, dx\) [1526]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+d \sin (e+f x))^n}{(a+b \sin (e+f x))^2} \, dx\) [1527]
   \(\int \cos ^7(c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1528]
   \(\int \cos ^5(c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1529]
   \(\int \cos ^3(c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1530]
   \(\int \cos (c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1531]
   \(\int \sec (c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1532]
   \(\int \sec ^3(c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1533]
   \(\int \sec ^5(c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1534]
   \(\int \sec ^7(c+d x) (a+b \sin (c+d x)) (A+B \sin (c+d x)) \, dx\) [1535]
   \(\int \cos ^7(c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1536]
   \(\int \cos ^5(c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1537]
   \(\int \cos ^3(c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1538]
   \(\int \cos (c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1539]
   \(\int \sec (c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1540]
   \(\int \sec ^3(c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1541]
   \(\int \sec ^5(c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1542]
   \(\int \sec ^7(c+d x) (a+b \sin (c+d x))^2 (A+B \sin (c+d x)) \, dx\) [1543]
   \(\int \genfrac {}{}{}{}{\cos ^7(c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1544]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1545]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1546]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1547]
   \(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1548]
   \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1549]
   \(\int \genfrac {}{}{}{}{\sec ^5(c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1550]
   \(\int \genfrac {}{}{}{}{\sec ^7(c+d x) (A+B \sin (c+d x))}{a+b \sin (c+d x)} \, dx\) [1551]
   \(\int \genfrac {}{}{}{}{\cos ^7(c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1552]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1553]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1554]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1555]
   \(\int \genfrac {}{}{}{}{\sec (c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1556]
   \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1557]
   \(\int \genfrac {}{}{}{}{\sec ^5(c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1558]
   \(\int \genfrac {}{}{}{}{\sec ^7(c+d x) (A+B \sin (c+d x))}{(a+b \sin (c+d x))^2} \, dx\) [1559]
   \(\int (g \cos (e+f x))^{-1-m} (a+b \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [1560]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^p}{(a+b \sin (e+f x)) (c+d \sin (e+f x))} \, dx\) [1561]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^p}{(a+b \sin (e+f x)) (c+d \sin (e+f x))^2} \, dx\) [1562]
   \(\int \genfrac {}{}{}{}{(g \sec (e+f x))^p}{(a+b \sin (e+f x)) (c+d \sin (e+f x))} \, dx\) [1563]