3.15 Integrals 1401 to 1500

   \(\int (a+b x)^3 (c+d x)^{5/2} \, dx\) [1401]
   \(\int (a+b x)^2 (c+d x)^{5/2} \, dx\) [1402]
   \(\int (a+b x) (c+d x)^{5/2} \, dx\) [1403]
   \(\int (c+d x)^{5/2} \, dx\) [1404]
   \(\int \genfrac {}{}{}{}{(c+d x)^{5/2}}{a+b x} \, dx\) [1405]
   \(\int \genfrac {}{}{}{}{(c+d x)^{5/2}}{(a+b x)^2} \, dx\) [1406]
   \(\int \genfrac {}{}{}{}{(c+d x)^{5/2}}{(a+b x)^3} \, dx\) [1407]
   \(\int \genfrac {}{}{}{}{(c+d x)^{5/2}}{(a+b x)^4} \, dx\) [1408]
   \(\int \genfrac {}{}{}{}{(c+d x)^{5/2}}{(a+b x)^5} \, dx\) [1409]
   \(\int \genfrac {}{}{}{}{(c+d x)^{5/2}}{(a+b x)^6} \, dx\) [1410]
   \(\int \genfrac {}{}{}{}{\sqrt {-1+x}}{(1+x)^2} \, dx\) [1411]
   \(\int \genfrac {}{}{}{}{\sqrt {-1+x}}{(1+x)^3} \, dx\) [1412]
   \(\int \genfrac {}{}{}{}{(a+b x)^5}{\sqrt {c+d x}} \, dx\) [1413]
   \(\int \genfrac {}{}{}{}{(a+b x)^4}{\sqrt {c+d x}} \, dx\) [1414]
   \(\int \genfrac {}{}{}{}{(a+b x)^3}{\sqrt {c+d x}} \, dx\) [1415]
   \(\int \genfrac {}{}{}{}{(a+b x)^2}{\sqrt {c+d x}} \, dx\) [1416]
   \(\int \genfrac {}{}{}{}{a+b x}{\sqrt {c+d x}} \, dx\) [1417]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {c+d x}} \, dx\) [1418]
   \(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt {c+d x}} \, dx\) [1419]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^2 \sqrt {c+d x}} \, dx\) [1420]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^3 \sqrt {c+d x}} \, dx\) [1421]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^4 \sqrt {c+d x}} \, dx\) [1422]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^5 \sqrt {c+d x}} \, dx\) [1423]
   \(\int \genfrac {}{}{}{}{(a+b x)^5}{(c+d x)^{3/2}} \, dx\) [1424]
   \(\int \genfrac {}{}{}{}{(a+b x)^4}{(c+d x)^{3/2}} \, dx\) [1425]
   \(\int \genfrac {}{}{}{}{(a+b x)^3}{(c+d x)^{3/2}} \, dx\) [1426]
   \(\int \genfrac {}{}{}{}{(a+b x)^2}{(c+d x)^{3/2}} \, dx\) [1427]
   \(\int \genfrac {}{}{}{}{a+b x}{(c+d x)^{3/2}} \, dx\) [1428]
   \(\int \genfrac {}{}{}{}{1}{(c+d x)^{3/2}} \, dx\) [1429]
   \(\int \genfrac {}{}{}{}{1}{(a+b x) (c+d x)^{3/2}} \, dx\) [1430]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^2 (c+d x)^{3/2}} \, dx\) [1431]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^3 (c+d x)^{3/2}} \, dx\) [1432]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^4 (c+d x)^{3/2}} \, dx\) [1433]
   \(\int \genfrac {}{}{}{}{(a+b x)^5}{(c+d x)^{5/2}} \, dx\) [1434]
   \(\int \genfrac {}{}{}{}{(a+b x)^4}{(c+d x)^{5/2}} \, dx\) [1435]
   \(\int \genfrac {}{}{}{}{(a+b x)^3}{(c+d x)^{5/2}} \, dx\) [1436]
   \(\int \genfrac {}{}{}{}{(a+b x)^2}{(c+d x)^{5/2}} \, dx\) [1437]
   \(\int \genfrac {}{}{}{}{a+b x}{(c+d x)^{5/2}} \, dx\) [1438]
   \(\int \genfrac {}{}{}{}{1}{(c+d x)^{5/2}} \, dx\) [1439]
   \(\int \genfrac {}{}{}{}{1}{(a+b x) (c+d x)^{5/2}} \, dx\) [1440]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^2 (c+d x)^{5/2}} \, dx\) [1441]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^3 (c+d x)^{5/2}} \, dx\) [1442]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^4 (c+d x)^{5/2}} \, dx\) [1443]
   \(\int (a+b x)^5 (a c+b c x)^{3/2} \, dx\) [1444]
   \(\int (a+b x)^5 \sqrt {a c+b c x} \, dx\) [1445]
   \(\int \genfrac {}{}{}{}{(a+b x)^5}{\sqrt {a c+b c x}} \, dx\) [1446]
   \(\int \genfrac {}{}{}{}{(a+b x)^5}{(a c+b c x)^{3/2}} \, dx\) [1447]
   \(\int \genfrac {}{}{}{}{(a+b x)^5}{(a c+b c x)^{5/2}} \, dx\) [1448]
   \(\int \genfrac {}{}{}{}{(a+b x)^5}{(a c+b c x)^{7/2}} \, dx\) [1449]
   \(\int \genfrac {}{}{}{}{(a+b x)^5}{(a c+b c x)^{9/2}} \, dx\) [1450]
   \(\int \genfrac {}{}{}{}{(a+b x)^5}{(a c+b c x)^{11/2}} \, dx\) [1451]
   \(\int \genfrac {}{}{}{}{(a+b x)^5}{(a c+b c x)^{13/2}} \, dx\) [1452]
   \(\int \genfrac {}{}{}{}{1}{(-2+x) \sqrt {2+x}} \, dx\) [1453]
   \(\int \genfrac {}{}{}{}{1}{(2+3 x) \sqrt {1+5 x}} \, dx\) [1454]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{1-x}}{1+x} \, dx\) [1455]
   \(\int \sqrt [3]{3-2 x} (7+x) \, dx\) [1456]
   \(\int \sqrt [3]{1-x} (1+x)^2 \, dx\) [1457]
   \(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt [3]{c+d x}} \, dx\) [1458]
   \(\int \genfrac {}{}{}{}{1}{(a+b x) (c+d x)^{2/3}} \, dx\) [1459]
   \(\int (a+b x)^{7/2} \sqrt {c+d x} \, dx\) [1460]
   \(\int (a+b x)^{5/2} \sqrt {c+d x} \, dx\) [1461]
   \(\int (a+b x)^{3/2} \sqrt {c+d x} \, dx\) [1462]
   \(\int \sqrt {a+b x} \sqrt {c+d x} \, dx\) [1463]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d x}}{\sqrt {a+b x}} \, dx\) [1464]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d x}}{(a+b x)^{3/2}} \, dx\) [1465]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d x}}{(a+b x)^{5/2}} \, dx\) [1466]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d x}}{(a+b x)^{7/2}} \, dx\) [1467]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d x}}{(a+b x)^{9/2}} \, dx\) [1468]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d x}}{(a+b x)^{11/2}} \, dx\) [1469]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d x}}{(a+b x)^{13/2}} \, dx\) [1470]
   \(\int (a+b x)^{5/2} (c+d x)^{3/2} \, dx\) [1471]
   \(\int (a+b x)^{3/2} (c+d x)^{3/2} \, dx\) [1472]
   \(\int \sqrt {a+b x} (c+d x)^{3/2} \, dx\) [1473]
   \(\int \genfrac {}{}{}{}{(c+d x)^{3/2}}{\sqrt {a+b x}} \, dx\) [1474]
   \(\int \genfrac {}{}{}{}{(c+d x)^{3/2}}{(a+b x)^{3/2}} \, dx\) [1475]
   \(\int \genfrac {}{}{}{}{(c+d x)^{3/2}}{(a+b x)^{5/2}} \, dx\) [1476]
   \(\int \genfrac {}{}{}{}{(c+d x)^{3/2}}{(a+b x)^{7/2}} \, dx\) [1477]
   \(\int \genfrac {}{}{}{}{(c+d x)^{3/2}}{(a+b x)^{9/2}} \, dx\) [1478]
   \(\int \genfrac {}{}{}{}{(c+d x)^{3/2}}{(a+b x)^{11/2}} \, dx\) [1479]
   \(\int \genfrac {}{}{}{}{(c+d x)^{3/2}}{(a+b x)^{13/2}} \, dx\) [1480]
   \(\int (a+b x)^{5/2} (c+d x)^{5/2} \, dx\) [1481]
   \(\int (a+b x)^{3/2} (c+d x)^{5/2} \, dx\) [1482]
   \(\int \sqrt {a+b x} (c+d x)^{5/2} \, dx\) [1483]
   \(\int \genfrac {}{}{}{}{(c+d x)^{5/2}}{\sqrt {a+b x}} \, dx\) [1484]
   \(\int \genfrac {}{}{}{}{(c+d x)^{5/2}}{(a+b x)^{3/2}} \, dx\) [1485]
   \(\int \genfrac {}{}{}{}{(c+d x)^{5/2}}{(a+b x)^{5/2}} \, dx\) [1486]
   \(\int \genfrac {}{}{}{}{(c+d x)^{5/2}}{(a+b x)^{7/2}} \, dx\) [1487]
   \(\int \genfrac {}{}{}{}{(c+d x)^{5/2}}{(a+b x)^{9/2}} \, dx\) [1488]
   \(\int \genfrac {}{}{}{}{(c+d x)^{5/2}}{(a+b x)^{11/2}} \, dx\) [1489]
   \(\int \genfrac {}{}{}{}{(c+d x)^{5/2}}{(a+b x)^{13/2}} \, dx\) [1490]
   \(\int \genfrac {}{}{}{}{(c+d x)^{5/2}}{(a+b x)^{15/2}} \, dx\) [1491]
   \(\int \genfrac {}{}{}{}{(a+b x)^{7/2}}{\sqrt {c+d x}} \, dx\) [1492]
   \(\int \genfrac {}{}{}{}{(a+b x)^{5/2}}{\sqrt {c+d x}} \, dx\) [1493]
   \(\int \genfrac {}{}{}{}{(a+b x)^{3/2}}{\sqrt {c+d x}} \, dx\) [1494]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{\sqrt {c+d x}} \, dx\) [1495]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} \sqrt {c+d x}} \, dx\) [1496]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^{3/2} \sqrt {c+d x}} \, dx\) [1497]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/2} \sqrt {c+d x}} \, dx\) [1498]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^{7/2} \sqrt {c+d x}} \, dx\) [1499]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^{9/2} \sqrt {c+d x}} \, dx\) [1500]