\(\int \genfrac {}{}{}{}{5-x}{\sqrt {2+3 x^2}} \, dx\) [1401]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x) \sqrt {2+3 x^2}} \, dx\) [1402]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^2 \sqrt {2+3 x^2}} \, dx\) [1403]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^3 \sqrt {2+3 x^2}} \, dx\) [1404]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^4 \sqrt {2+3 x^2}} \, dx\) [1405]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^5 \sqrt {2+3 x^2}} \, dx\) [1406]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^6 \sqrt {2+3 x^2}} \, dx\) [1407]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^4}{(2+3 x^2)^{3/2}} \, dx\) [1408]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^3}{(2+3 x^2)^{3/2}} \, dx\) [1409]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^2}{(2+3 x^2)^{3/2}} \, dx\) [1410]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)}{(2+3 x^2)^{3/2}} \, dx\) [1411]
   \(\int \genfrac {}{}{}{}{5-x}{(2+3 x^2)^{3/2}} \, dx\) [1412]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x) (2+3 x^2)^{3/2}} \, dx\) [1413]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^2 (2+3 x^2)^{3/2}} \, dx\) [1414]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^3 (2+3 x^2)^{3/2}} \, dx\) [1415]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^4 (2+3 x^2)^{3/2}} \, dx\) [1416]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^5 (2+3 x^2)^{3/2}} \, dx\) [1417]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^6}{(2+3 x^2)^{5/2}} \, dx\) [1418]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^5}{(2+3 x^2)^{5/2}} \, dx\) [1419]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^4}{(2+3 x^2)^{5/2}} \, dx\) [1420]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^3}{(2+3 x^2)^{5/2}} \, dx\) [1421]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^2}{(2+3 x^2)^{5/2}} \, dx\) [1422]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)}{(2+3 x^2)^{5/2}} \, dx\) [1423]
   \(\int \genfrac {}{}{}{}{5-x}{(2+3 x^2)^{5/2}} \, dx\) [1424]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x) (2+3 x^2)^{5/2}} \, dx\) [1425]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^2 (2+3 x^2)^{5/2}} \, dx\) [1426]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^3 (2+3 x^2)^{5/2}} \, dx\) [1427]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^4 (2+3 x^2)^{5/2}} \, dx\) [1428]
   \(\int (A+B x) (d+e x)^{3/2} (a+c x^2) \, dx\) [1429]
   \(\int (A+B x) \sqrt {d+e x} (a+c x^2) \, dx\) [1430]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)}{\sqrt {d+e x}} \, dx\) [1431]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)}{(d+e x)^{3/2}} \, dx\) [1432]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)}{(d+e x)^{5/2}} \, dx\) [1433]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)}{(d+e x)^{7/2}} \, dx\) [1434]
   \(\int (A+B x) \sqrt {d+e x} (a+c x^2)^2 \, dx\) [1435]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^2}{\sqrt {d+e x}} \, dx\) [1436]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^2}{(d+e x)^{3/2}} \, dx\) [1437]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^2}{(d+e x)^{5/2}} \, dx\) [1438]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^2}{(d+e x)^{7/2}} \, dx\) [1439]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^2}{(d+e x)^{9/2}} \, dx\) [1440]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^3}{\sqrt {d+e x}} \, dx\) [1441]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^3}{(d+e x)^{3/2}} \, dx\) [1442]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^3}{(d+e x)^{5/2}} \, dx\) [1443]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^3}{(d+e x)^{7/2}} \, dx\) [1444]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^3}{(d+e x)^{9/2}} \, dx\) [1445]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^3}{(d+e x)^{11/2}} \, dx\) [1446]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{5/2}}{a-c x^2} \, dx\) [1447]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{3/2}}{a-c x^2} \, dx\) [1448]
   \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {d+e x}}{a-c x^2} \, dx\) [1449]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} (a-c x^2)} \, dx\) [1450]
   \(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{3/2} (a-c x^2)} \, dx\) [1451]
   \(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{5/2} (a-c x^2)} \, dx\) [1452]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{5/2}}{(a-c x^2)^2} \, dx\) [1453]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{3/2}}{(a-c x^2)^2} \, dx\) [1454]
   \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {d+e x}}{(a-c x^2)^2} \, dx\) [1455]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} (a-c x^2)^2} \, dx\) [1456]
   \(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{3/2} (a-c x^2)^2} \, dx\) [1457]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{7/2}}{(a-c x^2)^3} \, dx\) [1458]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{5/2}}{(a-c x^2)^3} \, dx\) [1459]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{3/2}}{(a-c x^2)^3} \, dx\) [1460]
   \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {d+e x}}{(a-c x^2)^3} \, dx\) [1461]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} (a-c x^2)^3} \, dx\) [1462]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} (2 A B d-A^2 e-B^2 e x^2)} \, dx\) [1463]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {\genfrac {}{}{}{}{A^2 e-B^2 e}{2 A B}+e x} (1+x^2)} \, dx\) [1464]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} (1-x^2)} \, dx\) [1465]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} (1+x^2)} \, dx\) [1466]
   \(\int \genfrac {}{}{}{}{(1-x) \sqrt {1+x}}{1+x^2} \, dx\) [1467]
   \(\int \genfrac {}{}{}{}{3+x}{\sqrt {4+3 x} (1+x^2)} \, dx\) [1468]
   \(\int \genfrac {}{}{}{}{1-3 x}{\sqrt {4+3 x} (1+x^2)} \, dx\) [1469]
   \(\int \genfrac {}{}{}{}{2+x}{\sqrt {3+4 x} (1+x^2)} \, dx\) [1470]
   \(\int \genfrac {}{}{}{}{-2+x}{\sqrt {-3+x} (-8+x^2)} \, dx\) [1471]
   \(\int (A+B x) \sqrt {d+e x} \sqrt {a+c x^2} \, dx\) [1472]
   \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+c x^2}}{\sqrt {d+e x}} \, dx\) [1473]
   \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+c x^2}}{(d+e x)^{3/2}} \, dx\) [1474]
   \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+c x^2}}{(d+e x)^{5/2}} \, dx\) [1475]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{3/2}}{\sqrt {d+e x}} \, dx\) [1476]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [1477]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\) [1478]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\) [1479]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{3/2}}{\sqrt {a+c x^2}} \, dx\) [1480]
   \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {d+e x}}{\sqrt {a+c x^2}} \, dx\) [1481]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} \sqrt {a+c x^2}} \, dx\) [1482]
   \(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{3/2} \sqrt {a+c x^2}} \, dx\) [1483]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{3/2}}{(a+c x^2)^{3/2}} \, dx\) [1484]
   \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {d+e x}}{(a+c x^2)^{3/2}} \, dx\) [1485]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} (a+c x^2)^{3/2}} \, dx\) [1486]
   \(\int (A+B x) (d+e x)^m (a+c x^2)^3 \, dx\) [1487]
   \(\int (A+B x) (d+e x)^m (a+c x^2)^2 \, dx\) [1488]
   \(\int (A+B x) (d+e x)^m (a+c x^2) \, dx\) [1489]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^m}{a+c x^2} \, dx\) [1490]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^m}{(a+c x^2)^2} \, dx\) [1491]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{1+m}}{a+c x^2} \, dx\) [1492]
   \(\int (-a e+c d x) (d+e x)^{-3-2 p} (a+c x^2)^p \, dx\) [1493]
   \(\int (b+2 c x) (d+e x)^4 (a+b x+c x^2) \, dx\) [1494]
   \(\int (b+2 c x) (d+e x)^3 (a+b x+c x^2) \, dx\) [1495]
   \(\int (b+2 c x) (d+e x)^2 (a+b x+c x^2) \, dx\) [1496]
   \(\int (b+2 c x) (d+e x) (a+b x+c x^2) \, dx\) [1497]
   \(\int (b+2 c x) (a+b x+c x^2) \, dx\) [1498]
   \(\int \genfrac {}{}{}{}{(b+2 c x) (a+b x+c x^2)}{d+e x} \, dx\) [1499]
   \(\int \genfrac {}{}{}{}{(b+2 c x) (a+b x+c x^2)}{(d+e x)^2} \, dx\) [1500]