\(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^2 \sqrt {\sec (c+d x)}} \, dx\) [1401]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^2 \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1402]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^2 \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [1403]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\) [1404]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\) [1405]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^3} \, dx\) [1406]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^3 \sqrt {\sec (c+d x)}} \, dx\) [1407]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1408]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [1409]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [1410]
   \(\int \sqrt {a+b \cos (c+d x)} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x) \, dx\) [1411]
   \(\int \sqrt {a+b \cos (c+d x)} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [1412]
   \(\int \sqrt {a+b \cos (c+d x)} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [1413]
   \(\int \sqrt {a+b \cos (c+d x)} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [1414]
   \(\int \sqrt {a+b \cos (c+d x)} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [1415]
   \(\int \sqrt {a+b \cos (c+d x)} (A+C \cos ^2(c+d x)) \sqrt {\sec (c+d x)} \, dx\) [1416]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b \cos (c+d x)} (A+C \cos ^2(c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [1417]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b \cos (c+d x)} (A+C \cos ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1418]
   \(\int (a+b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x) \, dx\) [1419]
   \(\int (a+b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [1420]
   \(\int (a+b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [1421]
   \(\int (a+b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [1422]
   \(\int (a+b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [1423]
   \(\int (a+b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \sqrt {\sec (c+d x)} \, dx\) [1424]
   \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [1425]
   \(\int (a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{13}{2}}(c+d x) \, dx\) [1426]
   \(\int (a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x) \, dx\) [1427]
   \(\int (a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [1428]
   \(\int (a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [1429]
   \(\int (a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [1430]
   \(\int (a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [1431]
   \(\int (a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \sqrt {\sec (c+d x)} \, dx\) [1432]
   \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [1433]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [1434]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [1435]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [1436]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{\sqrt {a+b \cos (c+d x)}} \, dx\) [1437]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sqrt {\sec (c+d x)}}{\sqrt {a+b \cos (c+d x)}} \, dx\) [1438]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\sqrt {a+b \cos (c+d x)} \sqrt {\sec (c+d x)}} \, dx\) [1439]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [1440]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [1441]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\) [1442]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^{3/2}} \, dx\) [1443]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^{3/2} \sqrt {\sec (c+d x)}} \, dx\) [1444]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^{3/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1445]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [1446]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\) [1447]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^{5/2}} \, dx\) [1448]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^{5/2} \sqrt {\sec (c+d x)}} \, dx\) [1449]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^{5/2} \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1450]
   \(\int (a+b \cos (c+d x)) (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [1451]
   \(\int (a+b \cos (c+d x)) (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [1452]
   \(\int (a+b \cos (c+d x)) (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [1453]
   \(\int (a+b \cos (c+d x)) (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [1454]
   \(\int (a+b \cos (c+d x)) (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sqrt {\sec (c+d x)} \, dx\) [1455]
   \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x)) (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [1456]
   \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x)) (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1457]
   \(\int (a+b \cos (c+d x))^2 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x) \, dx\) [1458]
   \(\int (a+b \cos (c+d x))^2 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [1459]
   \(\int (a+b \cos (c+d x))^2 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [1460]
   \(\int (a+b \cos (c+d x))^2 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [1461]
   \(\int (a+b \cos (c+d x))^2 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [1462]
   \(\int (a+b \cos (c+d x))^2 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sqrt {\sec (c+d x)} \, dx\) [1463]
   \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^2 (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [1464]
   \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^2 (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1465]
   \(\int (a+b \cos (c+d x))^3 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x) \, dx\) [1466]
   \(\int (a+b \cos (c+d x))^3 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [1467]
   \(\int (a+b \cos (c+d x))^3 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [1468]
   \(\int (a+b \cos (c+d x))^3 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [1469]
   \(\int (a+b \cos (c+d x))^3 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [1470]
   \(\int (a+b \cos (c+d x))^3 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sqrt {\sec (c+d x)} \, dx\) [1471]
   \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3 (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [1472]
   \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3 (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1473]
   \(\int (a+b \cos (c+d x))^4 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{13}{2}}(c+d x) \, dx\) [1474]
   \(\int (a+b \cos (c+d x))^4 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{11}{2}}(c+d x) \, dx\) [1475]
   \(\int (a+b \cos (c+d x))^4 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \, dx\) [1476]
   \(\int (a+b \cos (c+d x))^4 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \, dx\) [1477]
   \(\int (a+b \cos (c+d x))^4 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \, dx\) [1478]
   \(\int (a+b \cos (c+d x))^4 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [1479]
   \(\int (a+b \cos (c+d x))^4 (A+B \cos (c+d x)+C \cos ^2(c+d x)) \sqrt {\sec (c+d x)} \, dx\) [1480]
   \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^4 (A+B \cos (c+d x)+C \cos ^2(c+d x))}{\sqrt {\sec (c+d x)}} \, dx\) [1481]
   \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{7}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\) [1482]
   \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\) [1483]
   \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\) [1484]
   \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sqrt {\sec (c+d x)}}{a+b \cos (c+d x)} \, dx\) [1485]
   \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)+C \cos ^2(c+d x)}{(a+b \cos (c+d x)) \sqrt {\sec (c+d x)}} \, dx\) [1486]
   \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)+C \cos ^2(c+d x)}{(a+b \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1487]
   \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)+C \cos ^2(c+d x)}{(a+b \cos (c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [1488]
   \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^2} \, dx\) [1489]
   \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^2} \, dx\) [1490]
   \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^2} \, dx\) [1491]
   \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^2 \sqrt {\sec (c+d x)}} \, dx\) [1492]
   \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^2 \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1493]
   \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^2 \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [1494]
   \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\) [1495]
   \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\) [1496]
   \(\int \genfrac {}{}{}{}{(A+B \cos (c+d x)+C \cos ^2(c+d x)) \sqrt {\sec (c+d x)}}{(a+b \cos (c+d x))^3} \, dx\) [1497]
   \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^3 \sqrt {\sec (c+d x)}} \, dx\) [1498]
   \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1499]
   \(\int \genfrac {}{}{}{}{A+B \cos (c+d x)+C \cos ^2(c+d x)}{(a+b \cos (c+d x))^3 \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [1500]