3.14 Integrals 1301 to 1400

   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1301]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1302]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin (c+d x)}{a+b \sin (c+d x)} \, dx\) [1303]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\) [1304]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1305]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1306]
   \(\int \genfrac {}{}{}{}{\cot ^4(c+d x)}{a+b \sin (c+d x)} \, dx\) [1307]
   \(\int \genfrac {}{}{}{}{\cot ^4(c+d x) \csc (c+d x)}{a+b \sin (c+d x)} \, dx\) [1308]
   \(\int \genfrac {}{}{}{}{\cot ^4(c+d x) \csc ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1309]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \sin ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1310]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \sin ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1311]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \sin (c+d x)}{a+b \sin (c+d x)} \, dx\) [1312]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\) [1313]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1314]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1315]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^4(c+d x)}{a+b \sin (c+d x)} \, dx\) [1316]
   \(\int \genfrac {}{}{}{}{\cot ^5(c+d x)}{a+b \sin (c+d x)} \, dx\) [1317]
   \(\int \genfrac {}{}{}{}{\cot ^5(c+d x) \csc (c+d x)}{a+b \sin (c+d x)} \, dx\) [1318]
   \(\int \genfrac {}{}{}{}{\cot ^5(c+d x) \csc ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1319]
   \(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1320]
   \(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1321]
   \(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin (c+d x)}{a+b \sin (c+d x)} \, dx\) [1322]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\) [1323]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1324]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1325]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^4(c+d x)}{a+b \sin (c+d x)} \, dx\) [1326]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^5(c+d x)}{a+b \sin (c+d x)} \, dx\) [1327]
   \(\int \genfrac {}{}{}{}{\cot ^6(c+d x)}{a+b \sin (c+d x)} \, dx\) [1328]
   \(\int \genfrac {}{}{}{}{\cot ^6(c+d x) \csc (c+d x)}{a+b \sin (c+d x)} \, dx\) [1329]
   \(\int \genfrac {}{}{}{}{\cot ^6(c+d x) \csc ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1330]
   \(\int \genfrac {}{}{}{}{\cot ^6(c+d x) \csc ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1331]
   \(\int \genfrac {}{}{}{}{\sin ^2(c+d x) \tan (c+d x)}{a+b \sin (c+d x)} \, dx\) [1332]
   \(\int \genfrac {}{}{}{}{\sin (c+d x) \tan (c+d x)}{a+b \sin (c+d x)} \, dx\) [1333]
   \(\int \genfrac {}{}{}{}{\tan (c+d x)}{a+b \sin (c+d x)} \, dx\) [1334]
   \(\int \genfrac {}{}{}{}{\csc (c+d x) \sec (c+d x)}{a+b \sin (c+d x)} \, dx\) [1335]
   \(\int \genfrac {}{}{}{}{\csc ^2(c+d x) \sec (c+d x)}{a+b \sin (c+d x)} \, dx\) [1336]
   \(\int \genfrac {}{}{}{}{\csc ^3(c+d x) \sec (c+d x)}{a+b \sin (c+d x)} \, dx\) [1337]
   \(\int \genfrac {}{}{}{}{\sin ^3(c+d x) \tan ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1338]
   \(\int \genfrac {}{}{}{}{\sin ^2(c+d x) \tan ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1339]
   \(\int \genfrac {}{}{}{}{\sin (c+d x) \tan ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1340]
   \(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1341]
   \(\int \genfrac {}{}{}{}{\sec (c+d x) \tan (c+d x)}{a+b \sin (c+d x)} \, dx\) [1342]
   \(\int \genfrac {}{}{}{}{\csc (c+d x) \sec ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1343]
   \(\int \genfrac {}{}{}{}{\csc ^2(c+d x) \sec ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1344]
   \(\int \genfrac {}{}{}{}{\csc ^3(c+d x) \sec ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1345]
   \(\int \genfrac {}{}{}{}{\tan ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1346]
   \(\int \genfrac {}{}{}{}{\sec (c+d x) \tan ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1347]
   \(\int \genfrac {}{}{}{}{\sec ^2(c+d x) \tan (c+d x)}{a+b \sin (c+d x)} \, dx\) [1348]
   \(\int \genfrac {}{}{}{}{\csc (c+d x) \sec ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1349]
   \(\int \genfrac {}{}{}{}{\csc ^2(c+d x) \sec ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1350]
   \(\int \genfrac {}{}{}{}{\csc ^3(c+d x) \sec ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1351]
   \(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{a+b \sin (c+d x)} \, dx\) [1352]
   \(\int \genfrac {}{}{}{}{\sec (c+d x) \tan ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1353]
   \(\int \genfrac {}{}{}{}{\sec ^2(c+d x) \tan ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1354]
   \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) \tan (c+d x)}{a+b \sin (c+d x)} \, dx\) [1355]
   \(\int \genfrac {}{}{}{}{\csc (c+d x) \sec ^4(c+d x)}{a+b \sin (c+d x)} \, dx\) [1356]
   \(\int \genfrac {}{}{}{}{\csc ^2(c+d x) \sec ^4(c+d x)}{a+b \sin (c+d x)} \, dx\) [1357]
   \(\int \genfrac {}{}{}{}{\csc ^3(c+d x) \sec ^4(c+d x)}{a+b \sin (c+d x)} \, dx\) [1358]
   \(\int \genfrac {}{}{}{}{\sin ^3(c+d x) \tan ^5(c+d x)}{a+b \sin (c+d x)} \, dx\) [1359]
   \(\int \genfrac {}{}{}{}{\sin ^2(c+d x) \tan ^5(c+d x)}{a+b \sin (c+d x)} \, dx\) [1360]
   \(\int \genfrac {}{}{}{}{\sin (c+d x) \tan ^5(c+d x)}{a+b \sin (c+d x)} \, dx\) [1361]
   \(\int \genfrac {}{}{}{}{\tan ^5(c+d x)}{a+b \sin (c+d x)} \, dx\) [1362]
   \(\int \genfrac {}{}{}{}{\sec (c+d x) \tan ^4(c+d x)}{a+b \sin (c+d x)} \, dx\) [1363]
   \(\int \genfrac {}{}{}{}{\sec ^2(c+d x) \tan ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1364]
   \(\int \genfrac {}{}{}{}{\sec ^3(c+d x) \tan ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1365]
   \(\int \genfrac {}{}{}{}{\sec ^4(c+d x) \tan (c+d x)}{a+b \sin (c+d x)} \, dx\) [1366]
   \(\int \genfrac {}{}{}{}{\csc (c+d x) \sec ^5(c+d x)}{a+b \sin (c+d x)} \, dx\) [1367]
   \(\int \genfrac {}{}{}{}{\csc ^2(c+d x) \sec ^5(c+d x)}{a+b \sin (c+d x)} \, dx\) [1368]
   \(\int \genfrac {}{}{}{}{\csc ^3(c+d x) \sec ^5(c+d x)}{a+b \sin (c+d x)} \, dx\) [1369]
   \(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)} \sin ^4(e+f x)}{a+b \sin (e+f x)} \, dx\) [1370]
   \(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)} \sin ^3(e+f x)}{a+b \sin (e+f x)} \, dx\) [1371]
   \(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)} \sin ^2(e+f x)}{a+b \sin (e+f x)} \, dx\) [1372]
   \(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)} \sin (e+f x)}{a+b \sin (e+f x)} \, dx\) [1373]
   \(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)} \csc (e+f x)}{a+b \sin (e+f x)} \, dx\) [1374]
   \(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)} \csc ^2(e+f x)}{a+b \sin (e+f x)} \, dx\) [1375]
   \(\int \genfrac {}{}{}{}{\sqrt {g \cos (e+f x)} \csc ^3(e+f x)}{a+b \sin (e+f x)} \, dx\) [1376]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2} \sin ^3(e+f x)}{a+b \sin (e+f x)} \, dx\) [1377]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2} \sin ^2(e+f x)}{a+b \sin (e+f x)} \, dx\) [1378]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2} \sin (e+f x)}{a+b \sin (e+f x)} \, dx\) [1379]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2} \csc (e+f x)}{a+b \sin (e+f x)} \, dx\) [1380]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2} \csc ^2(e+f x)}{a+b \sin (e+f x)} \, dx\) [1381]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2} \csc ^3(e+f x)}{a+b \sin (e+f x)} \, dx\) [1382]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{5/2} \sin ^3(e+f x)}{a+b \sin (e+f x)} \, dx\) [1383]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{5/2} \sin ^2(e+f x)}{a+b \sin (e+f x)} \, dx\) [1384]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{5/2} \sin (e+f x)}{a+b \sin (e+f x)} \, dx\) [1385]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{5/2} \csc (e+f x)}{a+b \sin (e+f x)} \, dx\) [1386]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{5/2} \csc ^2(e+f x)}{a+b \sin (e+f x)} \, dx\) [1387]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{5/2} \csc ^3(e+f x)}{a+b \sin (e+f x)} \, dx\) [1388]
   \(\int \genfrac {}{}{}{}{\sin ^4(e+f x)}{\sqrt {g \cos (e+f x)} (a+b \sin (e+f x))} \, dx\) [1389]
   \(\int \genfrac {}{}{}{}{\sin ^3(e+f x)}{\sqrt {g \cos (e+f x)} (a+b \sin (e+f x))} \, dx\) [1390]
   \(\int \genfrac {}{}{}{}{\sin ^2(e+f x)}{\sqrt {g \cos (e+f x)} (a+b \sin (e+f x))} \, dx\) [1391]
   \(\int \genfrac {}{}{}{}{\sin (e+f x)}{\sqrt {g \cos (e+f x)} (a+b \sin (e+f x))} \, dx\) [1392]
   \(\int \genfrac {}{}{}{}{\csc (e+f x)}{\sqrt {g \cos (e+f x)} (a+b \sin (e+f x))} \, dx\) [1393]
   \(\int \genfrac {}{}{}{}{\csc ^2(e+f x)}{\sqrt {g \cos (e+f x)} (a+b \sin (e+f x))} \, dx\) [1394]
   \(\int \genfrac {}{}{}{}{\csc ^3(e+f x)}{\sqrt {g \cos (e+f x)} (a+b \sin (e+f x))} \, dx\) [1395]
   \(\int \genfrac {}{}{}{}{\sin ^4(e+f x)}{(g \cos (e+f x))^{3/2} (a+b \sin (e+f x))} \, dx\) [1396]
   \(\int \genfrac {}{}{}{}{\sin ^3(e+f x)}{(g \cos (e+f x))^{3/2} (a+b \sin (e+f x))} \, dx\) [1397]
   \(\int \genfrac {}{}{}{}{\sin ^2(e+f x)}{(g \cos (e+f x))^{3/2} (a+b \sin (e+f x))} \, dx\) [1398]
   \(\int \genfrac {}{}{}{}{\sin (e+f x)}{(g \cos (e+f x))^{3/2} (a+b \sin (e+f x))} \, dx\) [1399]
   \(\int \genfrac {}{}{}{}{\csc (e+f x)}{(g \cos (e+f x))^{3/2} (a+b \sin (e+f x))} \, dx\) [1400]