\(\int \genfrac {}{}{}{}{\sin (e+f x)}{(g \cos (e+f x))^{5/2} (a+b \sin (e+f x))} \, dx\) [1401]
\(\int \genfrac {}{}{}{}{\csc (e+f x)}{(g \cos (e+f x))^{5/2} (a+b \sin (e+f x))} \, dx\) [1402]
\(\int \genfrac {}{}{}{}{\csc ^2(e+f x)}{(g \cos (e+f x))^{5/2} (a+b \sin (e+f x))} \, dx\) [1403]
\(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)} (d \sin (e+f x))^{5/2}}{a+b \sin (e+f x)} \, dx\) [1404]
\(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)} (d \sin (e+f x))^{3/2}}{a+b \sin (e+f x)} \, dx\) [1405]
\(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)} \sqrt {d \sin (e+f x)}}{a+b \sin (e+f x)} \, dx\) [1406]
\(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)}}{\sqrt {d \sin (e+f x)} (a+b \sin (e+f x))} \, dx\) [1407]
\(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)}}{(d \sin (e+f x))^{3/2} (a+b \sin (e+f x))} \, dx\) [1408]
\(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)}}{(d \sin (e+f x))^{5/2} (a+b \sin (e+f x))} \, dx\) [1409]
\(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)}}{(d \sin (e+f x))^{7/2} (a+b \sin (e+f x))} \, dx\) [1410]
\(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)}}{(d \sin (e+f x))^{9/2} (a+b \sin (e+f x))} \, dx\) [1411]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2} (d \sin (e+f x))^{3/2}}{a+b \sin (e+f x)} \, dx\) [1412]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2} \sqrt {d \sin (e+f x)}}{a+b \sin (e+f x)} \, dx\) [1413]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2}}{\sqrt {d \sin (e+f x)} (a+b \sin (e+f x))} \, dx\) [1414]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2}}{(d \sin (e+f x))^{3/2} (a+b \sin (e+f x))} \, dx\) [1415]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2}}{(d \sin (e+f x))^{5/2} (a+b \sin (e+f x))} \, dx\) [1416]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2}}{(d \sin (e+f x))^{7/2} (a+b \sin (e+f x))} \, dx\) [1417]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2}}{(d \sin (e+f x))^{9/2} (a+b \sin (e+f x))} \, dx\) [1418]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{5/2} \sqrt {d \sin (e+f x)}}{a+b \sin (e+f x)} \, dx\) [1419]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{5/2}}{\sqrt {d \sin (e+f x)} (a+b \sin (e+f x))} \, dx\) [1420]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{5/2}}{(d \sin (e+f x))^{3/2} (a+b \sin (e+f x))} \, dx\) [1421]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{5/2}}{(d \sin (e+f x))^{5/2} (a+b \sin (e+f x))} \, dx\) [1422]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{5/2}}{(d \sin (e+f x))^{7/2} (a+b \sin (e+f x))} \, dx\) [1423]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{5/2}}{(d \sin (e+f x))^{9/2} (a+b \sin (e+f x))} \, dx\) [1424]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{5/2}}{(d \sin (e+f x))^{11/2} (a+b \sin (e+f x))} \, dx\) [1425]
\(\int \genfrac {}{}{}{}{(d \sin (e+f x))^{5/2}}{\sqrt {g \cos (e+f x)} (a+b \sin (e+f x))} \, dx\) [1426]
\(\int \genfrac {}{}{}{}{(d \sin (e+f x))^{3/2}}{\sqrt {g \cos (e+f x)} (a+b \sin (e+f x))} \, dx\) [1427]
\(\int \genfrac {}{}{}{}{\sqrt {d \sin (e+f x)}}{\sqrt {g \cos (e+f x)} (a+b \sin (e+f x))} \, dx\) [1428]
\(\int \genfrac {}{}{}{}{1}{\sqrt {g \cos (e+f x)} \sqrt {d \sin (e+f x)} (a+b \sin (e+f x))} \, dx\) [1429]
\(\int \genfrac {}{}{}{}{1}{\sqrt {g \cos (e+f x)} (d \sin (e+f x))^{3/2} (a+b \sin (e+f x))} \, dx\) [1430]
\(\int \genfrac {}{}{}{}{1}{\sqrt {g \cos (e+f x)} (d \sin (e+f x))^{5/2} (a+b \sin (e+f x))} \, dx\) [1431]
\(\int \genfrac {}{}{}{}{(d \sin (e+f x))^{5/2}}{(g \cos (e+f x))^{3/2} (a+b \sin (e+f x))} \, dx\) [1432]
\(\int \genfrac {}{}{}{}{(d \sin (e+f x))^{3/2}}{(g \cos (e+f x))^{3/2} (a+b \sin (e+f x))} \, dx\) [1433]
\(\int \genfrac {}{}{}{}{\sqrt {d \sin (e+f x)}}{(g \cos (e+f x))^{3/2} (a+b \sin (e+f x))} \, dx\) [1434]
\(\int \genfrac {}{}{}{}{1}{(g \cos (e+f x))^{3/2} \sqrt {d \sin (e+f x)} (a+b \sin (e+f x))} \, dx\) [1435]
\(\int \genfrac {}{}{}{}{1}{(g \cos (e+f x))^{3/2} (d \sin (e+f x))^{3/2} (a+b \sin (e+f x))} \, dx\) [1436]
\(\int \genfrac {}{}{}{}{1}{(g \cos (e+f x))^{3/2} (d \sin (e+f x))^{5/2} (a+b \sin (e+f x))} \, dx\) [1437]
\(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2}}{\sqrt {d \sin (e+f x)} (a+b \sin (e+f x))^2} \, dx\) [1438]
\(\int \sin ^2(c+d x) (a+b \sin (c+d x)) \tan ^2(c+d x) \, dx\) [1439]
\(\int \sin (c+d x) (a+b \sin (c+d x)) \tan ^2(c+d x) \, dx\) [1440]
\(\int (a+b \sin (c+d x)) \tan ^2(c+d x) \, dx\) [1441]
\(\int \sec (c+d x) (a+b \sin (c+d x)) \tan (c+d x) \, dx\) [1442]
\(\int \csc (c+d x) \sec ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1443]
\(\int \csc ^2(c+d x) \sec ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1444]
\(\int \csc ^3(c+d x) \sec ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1445]
\(\int \sin (c+d x) (a+b \sin (c+d x))^2 \tan ^2(c+d x) \, dx\) [1446]
\(\int (a+b \sin (c+d x))^2 \tan ^2(c+d x) \, dx\) [1447]
\(\int \sec (c+d x) (a+b \sin (c+d x))^2 \tan (c+d x) \, dx\) [1448]
\(\int \csc (c+d x) \sec ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1449]
\(\int \csc ^2(c+d x) \sec ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1450]
\(\int \csc ^3(c+d x) \sec ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1451]
\(\int \csc ^4(c+d x) \sec ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1452]
\(\int \sin (c+d x) (a+b \sin (c+d x))^3 \tan ^2(c+d x) \, dx\) [1453]
\(\int (a+b \sin (c+d x))^3 \tan ^2(c+d x) \, dx\) [1454]
\(\int \sec (c+d x) (a+b \sin (c+d x))^3 \tan (c+d x) \, dx\) [1455]
\(\int \csc (c+d x) \sec ^2(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1456]
\(\int \csc ^2(c+d x) \sec ^2(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1457]
\(\int \csc ^3(c+d x) \sec ^2(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1458]
\(\int \csc ^4(c+d x) \sec ^2(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1459]
\(\int \genfrac {}{}{}{}{\sin ^2(c+d x) \tan ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1460]
\(\int \genfrac {}{}{}{}{\sin (c+d x) \tan ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1461]
\(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1462]
\(\int \genfrac {}{}{}{}{\sec (c+d x) \tan (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1463]
\(\int \genfrac {}{}{}{}{\csc (c+d x) \sec ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1464]
\(\int \genfrac {}{}{}{}{\csc ^2(c+d x) \sec ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1465]
\(\int \genfrac {}{}{}{}{\csc ^3(c+d x) \sec ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1466]
\(\int \genfrac {}{}{}{}{\sin ^2(c+d x) \tan ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1467]
\(\int \genfrac {}{}{}{}{\sin (c+d x) \tan ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1468]
\(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1469]
\(\int \genfrac {}{}{}{}{\sec (c+d x) \tan (c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1470]
\(\int \genfrac {}{}{}{}{\csc (c+d x) \sec ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1471]
\(\int \genfrac {}{}{}{}{\csc ^2(c+d x) \sec ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1472]
\(\int \genfrac {}{}{}{}{\csc ^3(c+d x) \sec ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1473]
\(\int \genfrac {}{}{}{}{\sec ^2(e+f x) \sqrt {a+b \sin (e+f x)}}{\sqrt {d \sin (e+f x)}} \, dx\) [1474]
\(\int \genfrac {}{}{}{}{\sec ^2(e+f x) (a+b \sin (e+f x))^{3/2}}{\sqrt {d \sin (e+f x)}} \, dx\) [1475]
\(\int \genfrac {}{}{}{}{\sec ^4(e+f x) (a+b \sin (e+f x))^{5/2}}{\sqrt {d \sin (e+f x)}} \, dx\) [1476]
\(\int \sin ^2(c+d x) (a+b \sin (c+d x)) \tan ^5(c+d x) \, dx\) [1477]
\(\int \sin (c+d x) (a+b \sin (c+d x)) \tan ^5(c+d x) \, dx\) [1478]
\(\int (a+b \sin (c+d x)) \tan ^5(c+d x) \, dx\) [1479]
\(\int \sec (c+d x) (a+b \sin (c+d x)) \tan ^4(c+d x) \, dx\) [1480]
\(\int \sec ^2(c+d x) (a+b \sin (c+d x)) \tan ^3(c+d x) \, dx\) [1481]
\(\int \sec ^3(c+d x) (a+b \sin (c+d x)) \tan ^2(c+d x) \, dx\) [1482]
\(\int \sec ^4(c+d x) (a+b \sin (c+d x)) \tan (c+d x) \, dx\) [1483]
\(\int \csc (c+d x) \sec ^5(c+d x) (a+b \sin (c+d x)) \, dx\) [1484]
\(\int \csc ^2(c+d x) \sec ^5(c+d x) (a+b \sin (c+d x)) \, dx\) [1485]
\(\int \csc ^3(c+d x) \sec ^5(c+d x) (a+b \sin (c+d x)) \, dx\) [1486]
\(\int \csc ^4(c+d x) \sec ^5(c+d x) (a+b \sin (c+d x)) \, dx\) [1487]
\(\int \sin (c+d x) (a+b \sin (c+d x))^2 \tan ^5(c+d x) \, dx\) [1488]
\(\int (a+b \sin (c+d x))^2 \tan ^5(c+d x) \, dx\) [1489]
\(\int \sec (c+d x) (a+b \sin (c+d x))^2 \tan ^4(c+d x) \, dx\) [1490]
\(\int \sec ^2(c+d x) (a+b \sin (c+d x))^2 \tan ^3(c+d x) \, dx\) [1491]
\(\int \sec ^3(c+d x) (a+b \sin (c+d x))^2 \tan ^2(c+d x) \, dx\) [1492]
\(\int \sec ^4(c+d x) (a+b \sin (c+d x))^2 \tan (c+d x) \, dx\) [1493]
\(\int \csc (c+d x) \sec ^5(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1494]
\(\int \csc ^2(c+d x) \sec ^5(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1495]
\(\int \csc ^3(c+d x) \sec ^5(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1496]
\(\int (a+b \sin (c+d x))^3 \tan ^5(c+d x) \, dx\) [1497]
\(\int \sec (c+d x) (a+b \sin (c+d x))^3 \tan ^4(c+d x) \, dx\) [1498]
\(\int \sec ^2(c+d x) (a+b \sin (c+d x))^3 \tan ^3(c+d x) \, dx\) [1499]
\(\int \sec ^3(c+d x) (a+b \sin (c+d x))^3 \tan ^2(c+d x) \, dx\) [1500]