3.18 Integrals 1701 to 1800

   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{13/2}} \, dx\) [1701]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{15/2}} \, dx\) [1702]
   \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1703]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1704]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1705]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1706]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1707]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1708]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1709]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1710]
   \(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1711]
   \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1712]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1713]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1714]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1715]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1716]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1717]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1718]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1719]
   \(\int \genfrac {}{}{}{}{(d+e x)^{13/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1720]
   \(\int \genfrac {}{}{}{}{(d+e x)^{11/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1721]
   \(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1722]
   \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1723]
   \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1724]
   \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1725]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1726]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1727]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1728]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1729]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1730]
   \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1731]
   \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1732]
   \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2) \, dx\) [1733]
   \(\int \genfrac {}{}{}{}{(d+e x)^m}{a^2+2 a b x+b^2 x^2} \, dx\) [1734]
   \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1735]
   \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1736]
   \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1737]
   \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1738]
   \(\int (d+e x)^m \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1739]
   \(\int \genfrac {}{}{}{}{(d+e x)^m}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1740]
   \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1741]
   \(\int \genfrac {}{}{}{}{(d+e x)^m}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1742]
   \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^p \, dx\) [1743]
   \(\int (d+e x)^3 (a^2+2 a b x+b^2 x^2)^p \, dx\) [1744]
   \(\int (d+e x)^2 (a^2+2 a b x+b^2 x^2)^p \, dx\) [1745]
   \(\int (d+e x) (a^2+2 a b x+b^2 x^2)^p \, dx\) [1746]
   \(\int (a^2+2 a b x+b^2 x^2)^p \, dx\) [1747]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{d+e x} \, dx\) [1748]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{(d+e x)^2} \, dx\) [1749]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{(d+e x)^3} \, dx\) [1750]
   \(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^p \, dx\) [1751]
   \(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^p \, dx\) [1752]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{\sqrt {d+e x}} \, dx\) [1753]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{(d+e x)^{3/2}} \, dx\) [1754]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{(d+e x)^{5/2}} \, dx\) [1755]
   \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^{5+p} \, dx\) [1756]
   \(\int (d+e x)^{-3-2 p} (a^2+2 a b x+b^2 x^2)^p \, dx\) [1757]
   \(\int (d+e x) (9+12 x+4 x^2)^p \, dx\) [1758]
   \(\int (a+b x)^3 (a c+(b c+a d) x+b d x^2) \, dx\) [1759]
   \(\int (a+b x)^2 (a c+(b c+a d) x+b d x^2) \, dx\) [1760]
   \(\int (a+b x) (a c+(b c+a d) x+b d x^2) \, dx\) [1761]
   \(\int (a c+(b c+a d) x+b d x^2) \, dx\) [1762]
   \(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{a+b x} \, dx\) [1763]
   \(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^2} \, dx\) [1764]
   \(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^3} \, dx\) [1765]
   \(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^4} \, dx\) [1766]
   \(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^5} \, dx\) [1767]
   \(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^6} \, dx\) [1768]
   \(\int (a+b x)^3 (a c+(b c+a d) x+b d x^2)^2 \, dx\) [1769]
   \(\int (a+b x)^2 (a c+(b c+a d) x+b d x^2)^2 \, dx\) [1770]
   \(\int (a+b x) (a c+(b c+a d) x+b d x^2)^2 \, dx\) [1771]
   \(\int (a c+(b c+a d) x+b d x^2)^2 \, dx\) [1772]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{a+b x} \, dx\) [1773]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^2} \, dx\) [1774]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^3} \, dx\) [1775]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^4} \, dx\) [1776]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^5} \, dx\) [1777]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^6} \, dx\) [1778]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^7} \, dx\) [1779]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^8} \, dx\) [1780]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^9} \, dx\) [1781]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^{10}} \, dx\) [1782]
   \(\int (a+b x)^3 (a c+(b c+a d) x+b d x^2)^3 \, dx\) [1783]
   \(\int (a+b x)^2 (a c+(b c+a d) x+b d x^2)^3 \, dx\) [1784]
   \(\int (a+b x) (a c+(b c+a d) x+b d x^2)^3 \, dx\) [1785]
   \(\int (a c+(b c+a d) x+b d x^2)^3 \, dx\) [1786]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{a+b x} \, dx\) [1787]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^2} \, dx\) [1788]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^3} \, dx\) [1789]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^4} \, dx\) [1790]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^5} \, dx\) [1791]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^6} \, dx\) [1792]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^7} \, dx\) [1793]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^8} \, dx\) [1794]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^9} \, dx\) [1795]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^{10}} \, dx\) [1796]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^{11}} \, dx\) [1797]
   \(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^{12}} \, dx\) [1798]
   \(\int \genfrac {}{}{}{}{(a+b x)^6}{a c+(b c+a d) x+b d x^2} \, dx\) [1799]
   \(\int \genfrac {}{}{}{}{(a+b x)^5}{a c+(b c+a d) x+b d x^2} \, dx\) [1800]