3.17.1 \(\int \genfrac {}{}{}{}{1}{(d+e x) (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1601]
  3.17.2 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1602]
  3.17.3 \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1603]
  3.17.4 \(\int \genfrac {}{}{}{}{(d+e x)^6}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1604]
  3.17.5 \(\int \genfrac {}{}{}{}{(d+e x)^5}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1605]
  3.17.6 \(\int \genfrac {}{}{}{}{(d+e x)^4}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1606]
  3.17.7 \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1607]
  3.17.8 \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1608]
  3.17.9 \(\int \genfrac {}{}{}{}{d+e x}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1609]
  3.17.10 \(\int \genfrac {}{}{}{}{1}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1610]
  3.17.11 \(\int \genfrac {}{}{}{}{1}{(d+e x) (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1611]
  3.17.12 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1612]
  3.17.13 \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1613]
  3.17.14 \(\int (d+e x) (9+12 x+4 x^2)^{5/2} \, dx\) [1614]
  3.17.15 \(\int (d+e x) (9+12 x+4 x^2)^{3/2} \, dx\) [1615]
  3.17.16 \(\int (d+e x) \sqrt {9+12 x+4 x^2} \, dx\) [1616]
  3.17.17 \(\int \genfrac {}{}{}{}{d+e x}{\sqrt {9+12 x+4 x^2}} \, dx\) [1617]
  3.17.18 \(\int \genfrac {}{}{}{}{d+e x}{(9+12 x+4 x^2)^{3/2}} \, dx\) [1618]
  3.17.19 \(\int \genfrac {}{}{}{}{d+e x}{(9+12 x+4 x^2)^{5/2}} \, dx\) [1619]
  3.17.20 \(\int \genfrac {}{}{}{}{d+e x}{(9+12 x+4 x^2)^{7/2}} \, dx\) [1620]
  3.17.21 \(\int (d+e x)^{7/2} (a^2+2 a b x+b^2 x^2) \, dx\) [1621]
  3.17.22 \(\int (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2) \, dx\) [1622]
  3.17.23 \(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2) \, dx\) [1623]
  3.17.24 \(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2) \, dx\) [1624]
  3.17.25 \(\int \genfrac {}{}{}{}{a^2+2 a b x+b^2 x^2}{\sqrt {d+e x}} \, dx\) [1625]
  3.17.26 \(\int \genfrac {}{}{}{}{a^2+2 a b x+b^2 x^2}{(d+e x)^{3/2}} \, dx\) [1626]
  3.17.27 \(\int \genfrac {}{}{}{}{a^2+2 a b x+b^2 x^2}{(d+e x)^{5/2}} \, dx\) [1627]
  3.17.28 \(\int \genfrac {}{}{}{}{a^2+2 a b x+b^2 x^2}{(d+e x)^{7/2}} \, dx\) [1628]
  3.17.29 \(\int (d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1629]
  3.17.30 \(\int (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1630]
  3.17.31 \(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1631]
  3.17.32 \(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1632]
  3.17.33 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{\sqrt {d+e x}} \, dx\) [1633]
  3.17.34 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^{3/2}} \, dx\) [1634]
  3.17.35 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^{5/2}} \, dx\) [1635]
  3.17.36 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^{7/2}} \, dx\) [1636]
  3.17.37 \(\int (d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1637]
  3.17.38 \(\int (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1638]
  3.17.39 \(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1639]
  3.17.40 \(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1640]
  3.17.41 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{\sqrt {d+e x}} \, dx\) [1641]
  3.17.42 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{3/2}} \, dx\) [1642]
  3.17.43 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{5/2}} \, dx\) [1643]
  3.17.44 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{7/2}} \, dx\) [1644]
  3.17.45 \(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{a^2+2 a b x+b^2 x^2} \, dx\) [1645]
  3.17.46 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{a^2+2 a b x+b^2 x^2} \, dx\) [1646]
  3.17.47 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{a^2+2 a b x+b^2 x^2} \, dx\) [1647]
  3.17.48 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{a^2+2 a b x+b^2 x^2} \, dx\) [1648]
  3.17.49 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{a^2+2 a b x+b^2 x^2} \, dx\) [1649]
  3.17.50 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)} \, dx\) [1650]
  3.17.51 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)} \, dx\) [1651]
  3.17.52 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)} \, dx\) [1652]
  3.17.53 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)} \, dx\) [1653]
  3.17.54 \(\int \genfrac {}{}{}{}{(d+e x)^{11/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1654]
  3.17.55 \(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1655]
  3.17.56 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1656]
  3.17.57 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1657]
  3.17.58 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1658]
  3.17.59 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1659]
  3.17.60 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1660]
  3.17.61 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1661]
  3.17.62 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1662]
  3.17.63 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1663]
  3.17.64 \(\int \genfrac {}{}{}{}{(d+e x)^{15/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1664]
  3.17.65 \(\int \genfrac {}{}{}{}{(d+e x)^{13/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1665]
  3.17.66 \(\int \genfrac {}{}{}{}{(d+e x)^{11/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1666]
  3.17.67 \(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1667]
  3.17.68 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1668]
  3.17.69 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1669]
  3.17.70 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1670]
  3.17.71 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1671]
  3.17.72 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1672]
  3.17.73 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1673]
  3.17.74 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1674]
  3.17.75 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1675]
  3.17.76 \(\int (d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1676]
  3.17.77 \(\int (d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1677]
  3.17.78 \(\int \sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1678]
  3.17.79 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x+b^2 x^2}}{\sqrt {d+e x}} \, dx\) [1679]
  3.17.80 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{3/2}} \, dx\) [1680]
  3.17.81 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{5/2}} \, dx\) [1681]
  3.17.82 \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{7/2}} \, dx\) [1682]
  3.17.83 \(\int (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1683]
  3.17.84 \(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1684]
  3.17.85 \(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1685]
  3.17.86 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{\sqrt {d+e x}} \, dx\) [1686]
  3.17.87 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [1687]
  3.17.88 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\) [1688]
  3.17.89 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\) [1689]
  3.17.90 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{9/2}} \, dx\) [1690]
  3.17.91 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{11/2}} \, dx\) [1691]
  3.17.92 \(\int (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1692]
  3.17.93 \(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1693]
  3.17.94 \(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1694]
  3.17.95 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{\sqrt {d+e x}} \, dx\) [1695]
  3.17.96 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{3/2}} \, dx\) [1696]
  3.17.97 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [1697]
  3.17.98 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{7/2}} \, dx\) [1698]
  3.17.99 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{9/2}} \, dx\) [1699]
  3.17.100 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{11/2}} \, dx\) [1700]