3.18 Integrals 1701 to 1800

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