3.15.1 \(\int \genfrac {}{}{}{}{(c e+d e x)^{7/2}}{\sqrt {1-c^2-2 c d x-d^2 x^2}} \, dx\) [1401]
  3.15.2 \(\int \genfrac {}{}{}{}{(c e+d e x)^{3/2}}{\sqrt {1-c^2-2 c d x-d^2 x^2}} \, dx\) [1402]
  3.15.3 \(\int \genfrac {}{}{}{}{1}{\sqrt {c e+d e x} \sqrt {1-c^2-2 c d x-d^2 x^2}} \, dx\) [1403]
  3.15.4 \(\int \genfrac {}{}{}{}{1}{(c e+d e x)^{5/2} \sqrt {1-c^2-2 c d x-d^2 x^2}} \, dx\) [1404]
  3.15.5 \(\int \genfrac {}{}{}{}{1}{(c e+d e x)^{9/2} \sqrt {1-c^2-2 c d x-d^2 x^2}} \, dx\) [1405]
  3.15.6 \(\int \genfrac {}{}{}{}{1}{(c e+d e x)^{13/2} \sqrt {1-c^2-2 c d x-d^2 x^2}} \, dx\) [1406]
  3.15.7 \(\int \genfrac {}{}{}{}{(c e+d e x)^{9/2}}{\sqrt {1-c^2-2 c d x-d^2 x^2}} \, dx\) [1407]
  3.15.8 \(\int \genfrac {}{}{}{}{(c e+d e x)^{5/2}}{\sqrt {1-c^2-2 c d x-d^2 x^2}} \, dx\) [1408]
  3.15.9 \(\int \genfrac {}{}{}{}{\sqrt {c e+d e x}}{\sqrt {1-c^2-2 c d x-d^2 x^2}} \, dx\) [1409]
  3.15.10 \(\int \genfrac {}{}{}{}{1}{(c e+d e x)^{3/2} \sqrt {1-c^2-2 c d x-d^2 x^2}} \, dx\) [1410]
  3.15.11 \(\int \genfrac {}{}{}{}{1}{(c e+d e x)^{7/2} \sqrt {1-c^2-2 c d x-d^2 x^2}} \, dx\) [1411]
  3.15.12 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{11/3}} \, dx\) [1412]
  3.15.13 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{17/3}} \, dx\) [1413]
  3.15.14 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{23/3}} \, dx\) [1414]
  3.15.15 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{29/3}} \, dx\) [1415]
  3.15.16 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{2/3}} \, dx\) [1416]
  3.15.17 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{8/3}} \, dx\) [1417]
  3.15.18 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{14/3}} \, dx\) [1418]
  3.15.19 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{20/3}} \, dx\) [1419]
  3.15.20 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{4/3}} \, dx\) [1420]
  3.15.21 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{10/3}} \, dx\) [1421]
  3.15.22 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{16/3}} \, dx\) [1422]
  3.15.23 \(\int (b d+2 c d x)^m (a+b x+c x^2)^3 \, dx\) [1423]
  3.15.24 \(\int (b d+2 c d x)^m (a+b x+c x^2)^2 \, dx\) [1424]
  3.15.25 \(\int (b d+2 c d x)^m (a+b x+c x^2) \, dx\) [1425]
  3.15.26 \(\int \genfrac {}{}{}{}{(b d+2 c d x)^m}{a+b x+c x^2} \, dx\) [1426]
  3.15.27 \(\int \genfrac {}{}{}{}{(b d+2 c d x)^m}{(a+b x+c x^2)^2} \, dx\) [1427]
  3.15.28 \(\int \genfrac {}{}{}{}{(b d+2 c d x)^m}{(a+b x+c x^2)^3} \, dx\) [1428]
  3.15.29 \(\int (b d+2 c d x)^m (a+b x+c x^2)^{5/2} \, dx\) [1429]
  3.15.30 \(\int (b d+2 c d x)^m (a+b x+c x^2)^{3/2} \, dx\) [1430]
  3.15.31 \(\int (b d+2 c d x)^m \sqrt {a+b x+c x^2} \, dx\) [1431]
  3.15.32 \(\int \genfrac {}{}{}{}{(b d+2 c d x)^m}{\sqrt {a+b x+c x^2}} \, dx\) [1432]
  3.15.33 \(\int \genfrac {}{}{}{}{(b d+2 c d x)^m}{(a+b x+c x^2)^{3/2}} \, dx\) [1433]
  3.15.34 \(\int \genfrac {}{}{}{}{(b d+2 c d x)^m}{(a+b x+c x^2)^{5/2}} \, dx\) [1434]
  3.15.35 \(\int (b d+2 c d x)^m (a+b x+c x^2)^p \, dx\) [1435]
  3.15.36 \(\int (b d+2 c d x)^5 (a+b x+c x^2)^p \, dx\) [1436]
  3.15.37 \(\int (b d+2 c d x)^4 (a+b x+c x^2)^p \, dx\) [1437]
  3.15.38 \(\int (b d+2 c d x)^3 (a+b x+c x^2)^p \, dx\) [1438]
  3.15.39 \(\int (b d+2 c d x)^2 (a+b x+c x^2)^p \, dx\) [1439]
  3.15.40 \(\int (b d+2 c d x) (a+b x+c x^2)^p \, dx\) [1440]
  3.15.41 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{b d+2 c d x} \, dx\) [1441]
  3.15.42 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{(b d+2 c d x)^2} \, dx\) [1442]
  3.15.43 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{(b d+2 c d x)^3} \, dx\) [1443]
  3.15.44 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{(b d+2 c d x)^4} \, dx\) [1444]
  3.15.45 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{(b d+2 c d x)^5} \, dx\) [1445]
  3.15.46 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^p}{(b d+2 c d x)^6} \, dx\) [1446]
  3.15.47 \(\int \genfrac {}{}{}{}{1+x}{(-3+2 x+x^2)^{2/3}} \, dx\) [1447]
  3.15.48 \(\int \genfrac {}{}{}{}{b+c x}{(a+2 b x+c x^2)^{3/7}} \, dx\) [1448]
  3.15.49 \(\int (1+x)^m (1+2 x+x^2)^n \, dx\) [1449]
  3.15.50 \(\int (\genfrac {}{}{}{}{b e}{2 c}+e x)^m (\genfrac {}{}{}{}{b^2}{4 c}+b x+c x^2)^n \, dx\) [1450]
  3.15.51 \(\int (d+e x)^4 (a^2+2 a b x+b^2 x^2) \, dx\) [1451]
  3.15.52 \(\int (d+e x)^3 (a^2+2 a b x+b^2 x^2) \, dx\) [1452]
  3.15.53 \(\int (d+e x)^2 (a^2+2 a b x+b^2 x^2) \, dx\) [1453]
  3.15.54 \(\int (d+e x) (a^2+2 a b x+b^2 x^2) \, dx\) [1454]
  3.15.55 \(\int (a^2+2 a b x+b^2 x^2) \, dx\) [1455]
  3.15.56 \(\int \genfrac {}{}{}{}{a^2+2 a b x+b^2 x^2}{d+e x} \, dx\) [1456]
  3.15.57 \(\int \genfrac {}{}{}{}{a^2+2 a b x+b^2 x^2}{(d+e x)^2} \, dx\) [1457]
  3.15.58 \(\int \genfrac {}{}{}{}{a^2+2 a b x+b^2 x^2}{(d+e x)^3} \, dx\) [1458]
  3.15.59 \(\int \genfrac {}{}{}{}{a^2+2 a b x+b^2 x^2}{(d+e x)^4} \, dx\) [1459]
  3.15.60 \(\int \genfrac {}{}{}{}{a^2+2 a b x+b^2 x^2}{(d+e x)^5} \, dx\) [1460]
  3.15.61 \(\int \genfrac {}{}{}{}{a^2+2 a b x+b^2 x^2}{(d+e x)^6} \, dx\) [1461]
  3.15.62 \(\int \genfrac {}{}{}{}{a^2+2 a b x+b^2 x^2}{(d+e x)^7} \, dx\) [1462]
  3.15.63 \(\int (d+e x)^6 (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1463]
  3.15.64 \(\int (d+e x)^5 (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1464]
  3.15.65 \(\int (d+e x)^4 (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1465]
  3.15.66 \(\int (d+e x)^3 (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1466]
  3.15.67 \(\int (d+e x)^2 (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1467]
  3.15.68 \(\int (d+e x) (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1468]
  3.15.69 \(\int (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1469]
  3.15.70 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{d+e x} \, dx\) [1470]
  3.15.71 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^2} \, dx\) [1471]
  3.15.72 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^3} \, dx\) [1472]
  3.15.73 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^4} \, dx\) [1473]
  3.15.74 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^5} \, dx\) [1474]
  3.15.75 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^6} \, dx\) [1475]
  3.15.76 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^7} \, dx\) [1476]
  3.15.77 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^8} \, dx\) [1477]
  3.15.78 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^9} \, dx\) [1478]
  3.15.79 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^{10}} \, dx\) [1479]
  3.15.80 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^{11}} \, dx\) [1480]
  3.15.81 \(\int (d+e x)^8 (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1481]
  3.15.82 \(\int (d+e x)^7 (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1482]
  3.15.83 \(\int (d+e x)^6 (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1483]
  3.15.84 \(\int (d+e x)^5 (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1484]
  3.15.85 \(\int (d+e x)^4 (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1485]
  3.15.86 \(\int (d+e x)^3 (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1486]
  3.15.87 \(\int (d+e x)^2 (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1487]
  3.15.88 \(\int (d+e x) (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1488]
  3.15.89 \(\int (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1489]
  3.15.90 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{d+e x} \, dx\) [1490]
  3.15.91 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^2} \, dx\) [1491]
  3.15.92 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^3} \, dx\) [1492]
  3.15.93 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^4} \, dx\) [1493]
  3.15.94 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^5} \, dx\) [1494]
  3.15.95 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^6} \, dx\) [1495]
  3.15.96 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^7} \, dx\) [1496]
  3.15.97 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^8} \, dx\) [1497]
  3.15.98 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^9} \, dx\) [1498]
  3.15.99 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{10}} \, dx\) [1499]
  3.15.100 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{11}} \, dx\) [1500]