3.19 Integrals 1801 to 1837

\(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^n}{(e+f x)^3} \, dx\) [1801]
\(\int \genfrac {}{}{}{}{(a+b x)^m (e+f x)^{-1-m}}{(c+d x)^2} \, dx\) [1802]
\(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-1-m}}{(e+f x)^2} \, dx\) [1803]
\(\int (1-x)^p (1+x)^{1+p} (c+d x)^{-3-2 p} \, dx\) [1804]
\(\int (1+x) (c+d x)^{-3-2 p} (1-x^2)^p \, dx\) [1805]
\(\int \genfrac {}{}{}{}{(c+d x)^{-3-2 p} (1-x^2)^{1+p}}{1-x} \, dx\) [1806]
\(\int (1-x)^{\genfrac {}{}{}{}{1}{2} (-3-m)} (1+x)^{\genfrac {}{}{}{}{1}{2} (-1-m)} (a+b x)^m \, dx\) [1807]
\(\int (1+x) (a+b x)^m (1-x^2)^{\genfrac {}{}{}{}{1}{2} (-3-m)} \, dx\) [1808]
\(\int \genfrac {}{}{}{}{(a+b x)^m (1-x^2)^{\genfrac {}{}{}{}{1}{2} (-1-m)}}{1-x} \, dx\) [1809]
\(\int (c+d x)^n (e+f x)^{3+n} (a (d e+c f)+2 a d f x)^m \, dx\) [1810]
\(\int (c+d x)^n (e+f x)^{2+n} (a (d e+c f)+2 a d f x)^m \, dx\) [1811]
\(\int (c+d x)^n (e+f x)^{1+n} (a (d e+c f)+2 a d f x)^m \, dx\) [1812]
\(\int (c+d x)^n (e+f x)^n (a (d e+c f)+2 a d f x)^m \, dx\) [1813]
\(\int (c+d x)^n (e+f x)^{-1+n} (a (d e+c f)+2 a d f x)^m \, dx\) [1814]
\(\int (c+d x)^n (e+f x)^{-2+n} (a (d e+c f)+2 a d f x)^m \, dx\) [1815]
\(\int (c+d x)^n (e+f x)^{-3+n} (a (d e+c f)+2 a d f x)^m \, dx\) [1816]
\(\int (a+b x)^m (c+d x)^n (e+f x)^p \, dx\) [1817]
\(\int (a+b x)^m (c+d x)^{-3-m} (e+f x)^p \, dx\) [1818]
\(\int (a+b x)^m (c+d x)^{-2-m} (e+f x)^p \, dx\) [1819]
\(\int (a+b x)^m (c+d x)^{-1-m} (e+f x)^p \, dx\) [1820]
\(\int (a+b x)^m (c+d x)^{-m} (e+f x)^p \, dx\) [1821]
\(\int (a+b x)^m (c+d x)^{1-m} (e+f x)^p \, dx\) [1822]
\(\int (a+b x)^m (c+d x)^{2-m} (e+f x)^p \, dx\) [1823]
\(\int (a+b x)^m (c+d x)^n (e+f x)^{-m-n} \, dx\) [1824]
\(\int (a+b x)^m (c+d x)^n (e+f x)^{-1-m-n} \, dx\) [1825]
\(\int (a+b x)^m (c+d x)^n (e+f x)^{-2-m-n} \, dx\) [1826]
\(\int (a+b x)^m (c+d x)^n (e+f x)^{-3-m-n} \, dx\) [1827]
\(\int (a+b x)^m (c+d x)^n (e+f x)^{-4-m-n} \, dx\) [1828]
\(\int (2+3 x)^m (3+4 x)^{-2-m-n} (2+9 x)^n \, dx\) [1829]
\(\int (a+b x)^m (c+d x)^n (\genfrac {}{}{}{}{b c f+a d f+a d f m+b c f n}{b d (2+m+n)}+f x)^{-3-m-n} \, dx\) [1830]
\(\int (a+b x)^m (c+d x)^{-1-\genfrac {}{}{}{}{d (b e-a f) (1+m)}{b (d e-c f)}} (e+f x)^{-1+\genfrac {}{}{}{}{(b c-a d) f (1+m)}{b (d e-c f)}} \, dx\) [1831]
\(\int (1-x)^{-1+\genfrac {}{}{}{}{1}{2} (-3-m)} (1+x)^{\genfrac {}{}{}{}{1}{2} (-3-m)} (a+b x)^m \, dx\) [1832]
\(\int (1-x)^{\genfrac {}{}{}{}{1}{2} (-5-m)} (1+x)^{\genfrac {}{}{}{}{1}{2} (-3-m)} (a+b x)^m \, dx\) [1833]
\(\int (c+d x)^p (1-b x^2)^m \, dx\) [1834]
\(\int (1-\sqrt {b} x)^m (1+\sqrt {b} x)^m (c+d x)^p \, dx\) [1835]
\(\int (c+d x)^p (1+b x^2)^m \, dx\) [1836]
\(\int (1-\sqrt {-b} x)^m (1+\sqrt {-b} x)^m (c+d x)^p \, dx\) [1837]