3.18.1 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{13/2}} \, dx\) [1701]
  3.18.2 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{15/2}} \, dx\) [1702]
  3.18.3 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1703]
  3.18.4 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1704]
  3.18.5 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1705]
  3.18.6 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1706]
  3.18.7 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1707]
  3.18.8 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1708]
  3.18.9 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1709]
  3.18.10 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1710]
  3.18.11 \(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1711]
  3.18.12 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1712]
  3.18.13 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1713]
  3.18.14 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1714]
  3.18.15 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1715]
  3.18.16 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1716]
  3.18.17 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1717]
  3.18.18 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1718]
  3.18.19 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1719]
  3.18.20 \(\int \genfrac {}{}{}{}{(d+e x)^{13/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1720]
  3.18.21 \(\int \genfrac {}{}{}{}{(d+e x)^{11/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1721]
  3.18.22 \(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1722]
  3.18.23 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1723]
  3.18.24 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1724]
  3.18.25 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1725]
  3.18.26 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1726]
  3.18.27 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1727]
  3.18.28 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1728]
  3.18.29 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1729]
  3.18.30 \(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1730]
  3.18.31 \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1731]
  3.18.32 \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1732]
  3.18.33 \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2) \, dx\) [1733]
  3.18.34 \(\int \genfrac {}{}{}{}{(d+e x)^m}{a^2+2 a b x+b^2 x^2} \, dx\) [1734]
  3.18.35 \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1735]
  3.18.36 \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1736]
  3.18.37 \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1737]
  3.18.38 \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1738]
  3.18.39 \(\int (d+e x)^m \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1739]
  3.18.40 \(\int \genfrac {}{}{}{}{(d+e x)^m}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1740]
  3.18.41 \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1741]
  3.18.42 \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1742]
  3.18.43 \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^p \, dx\) [1743]
  3.18.44 \(\int (d+e x)^3 (a^2+2 a b x+b^2 x^2)^p \, dx\) [1744]
  3.18.45 \(\int (d+e x)^2 (a^2+2 a b x+b^2 x^2)^p \, dx\) [1745]
  3.18.46 \(\int (d+e x) (a^2+2 a b x+b^2 x^2)^p \, dx\) [1746]
  3.18.47 \(\int (a^2+2 a b x+b^2 x^2)^p \, dx\) [1747]
  3.18.48 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{d+e x} \, dx\) [1748]
  3.18.49 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{(d+e x)^2} \, dx\) [1749]
  3.18.50 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{(d+e x)^3} \, dx\) [1750]
  3.18.51 \(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^p \, dx\) [1751]
  3.18.52 \(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^p \, dx\) [1752]
  3.18.53 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{\sqrt {d+e x}} \, dx\) [1753]
  3.18.54 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{(d+e x)^{3/2}} \, dx\) [1754]
  3.18.55 \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{(d+e x)^{5/2}} \, dx\) [1755]
  3.18.56 \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^{5+p} \, dx\) [1756]
  3.18.57 \(\int (d+e x)^{-3-2 p} (a^2+2 a b x+b^2 x^2)^p \, dx\) [1757]
  3.18.58 \(\int (d+e x) (9+12 x+4 x^2)^p \, dx\) [1758]
  3.18.59 \(\int (a+b x)^3 (a c+(b c+a d) x+b d x^2) \, dx\) [1759]
  3.18.60 \(\int (a+b x)^2 (a c+(b c+a d) x+b d x^2) \, dx\) [1760]
  3.18.61 \(\int (a+b x) (a c+(b c+a d) x+b d x^2) \, dx\) [1761]
  3.18.62 \(\int (a c+(b c+a d) x+b d x^2) \, dx\) [1762]
  3.18.63 \(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{a+b x} \, dx\) [1763]
  3.18.64 \(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^2} \, dx\) [1764]
  3.18.65 \(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^3} \, dx\) [1765]
  3.18.66 \(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^4} \, dx\) [1766]
  3.18.67 \(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^5} \, dx\) [1767]
  3.18.68 \(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^6} \, dx\) [1768]
  3.18.69 \(\int (a+b x)^3 (a c+(b c+a d) x+b d x^2)^2 \, dx\) [1769]
  3.18.70 \(\int (a+b x)^2 (a c+(b c+a d) x+b d x^2)^2 \, dx\) [1770]
  3.18.71 \(\int (a+b x) (a c+(b c+a d) x+b d x^2)^2 \, dx\) [1771]
  3.18.72 \(\int (a c+(b c+a d) x+b d x^2)^2 \, dx\) [1772]
  3.18.73 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{a+b x} \, dx\) [1773]
  3.18.74 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^2} \, dx\) [1774]
  3.18.75 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^3} \, dx\) [1775]
  3.18.76 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^4} \, dx\) [1776]
  3.18.77 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^5} \, dx\) [1777]
  3.18.78 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^6} \, dx\) [1778]
  3.18.79 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^7} \, dx\) [1779]
  3.18.80 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^8} \, dx\) [1780]
  3.18.81 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^9} \, dx\) [1781]
  3.18.82 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^{10}} \, dx\) [1782]
  3.18.83 \(\int (a+b x)^3 (a c+(b c+a d) x+b d x^2)^3 \, dx\) [1783]
  3.18.84 \(\int (a+b x)^2 (a c+(b c+a d) x+b d x^2)^3 \, dx\) [1784]
  3.18.85 \(\int (a+b x) (a c+(b c+a d) x+b d x^2)^3 \, dx\) [1785]
  3.18.86 \(\int (a c+(b c+a d) x+b d x^2)^3 \, dx\) [1786]
  3.18.87 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{a+b x} \, dx\) [1787]
  3.18.88 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^2} \, dx\) [1788]
  3.18.89 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^3} \, dx\) [1789]
  3.18.90 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^4} \, dx\) [1790]
  3.18.91 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^5} \, dx\) [1791]
  3.18.92 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^6} \, dx\) [1792]
  3.18.93 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^7} \, dx\) [1793]
  3.18.94 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^8} \, dx\) [1794]
  3.18.95 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^9} \, dx\) [1795]
  3.18.96 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^{10}} \, dx\) [1796]
  3.18.97 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^{11}} \, dx\) [1797]
  3.18.98 \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^{12}} \, dx\) [1798]
  3.18.99 \(\int \genfrac {}{}{}{}{(a+b x)^6}{a c+(b c+a d) x+b d x^2} \, dx\) [1799]
  3.18.100 \(\int \genfrac {}{}{}{}{(a+b x)^5}{a c+(b c+a d) x+b d x^2} \, dx\) [1800]