3.15 Integrals 1401 to 1500

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