3.19 Integrals 1801 to 1900

3.19.1 \(\int \genfrac {}{}{}{}{(a+b x)^{7/6}}{(c+d x)^{19/6}} \, dx\) [1801]
3.19.2 \(\int \genfrac {}{}{}{}{(a+b x)^{7/6}}{(c+d x)^{25/6}} \, dx\) [1802]
3.19.3 \(\int \genfrac {}{}{}{}{(a+b x)^{7/6}}{(c+d x)^{31/6}} \, dx\) [1803]
3.19.4 \(\int \genfrac {}{}{}{}{(a+b x)^{7/6}}{(c+d x)^{37/6}} \, dx\) [1804]
3.19.5 \(\int \genfrac {}{}{}{}{(c+d x)^{7/6}}{\sqrt [6]{a+b x}} \, dx\) [1805]
3.19.6 \(\int \genfrac {}{}{}{}{\sqrt [6]{c+d x}}{\sqrt [6]{a+b x}} \, dx\) [1806]
3.19.7 \(\int \genfrac {}{}{}{}{1}{\sqrt [6]{a+b x} (c+d x)^{5/6}} \, dx\) [1807]
3.19.8 \(\int \genfrac {}{}{}{}{1}{\sqrt [6]{a+b x} (c+d x)^{11/6}} \, dx\) [1808]
3.19.9 \(\int \genfrac {}{}{}{}{1}{\sqrt [6]{a+b x} (c+d x)^{17/6}} \, dx\) [1809]
3.19.10 \(\int \genfrac {}{}{}{}{1}{\sqrt [6]{a+b x} (c+d x)^{23/6}} \, dx\) [1810]
3.19.11 \(\int \genfrac {}{}{}{}{1}{\sqrt [6]{a+b x} (c+d x)^{29/6}} \, dx\) [1811]
3.19.12 \(\int \genfrac {}{}{}{}{(c+d x)^{11/6}}{\sqrt [6]{a+b x}} \, dx\) [1812]
3.19.13 \(\int \genfrac {}{}{}{}{(c+d x)^{5/6}}{\sqrt [6]{a+b x}} \, dx\) [1813]
3.19.14 \(\int \genfrac {}{}{}{}{1}{\sqrt [6]{a+b x} \sqrt [6]{c+d x}} \, dx\) [1814]
3.19.15 \(\int \genfrac {}{}{}{}{1}{\sqrt [6]{a+b x} (c+d x)^{7/6}} \, dx\) [1815]
3.19.16 \(\int \genfrac {}{}{}{}{1}{\sqrt [6]{a+b x} (c+d x)^{13/6}} \, dx\) [1816]
3.19.17 \(\int \genfrac {}{}{}{}{1}{\sqrt [6]{a+b x} (c+d x)^{19/6}} \, dx\) [1817]
3.19.18 \(\int \genfrac {}{}{}{}{(c+d x)^{13/6}}{(a+b x)^{5/6}} \, dx\) [1818]
3.19.19 \(\int \genfrac {}{}{}{}{(c+d x)^{7/6}}{(a+b x)^{5/6}} \, dx\) [1819]
3.19.20 \(\int \genfrac {}{}{}{}{\sqrt [6]{c+d x}}{(a+b x)^{5/6}} \, dx\) [1820]
3.19.21 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/6} (c+d x)^{5/6}} \, dx\) [1821]
3.19.22 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/6} (c+d x)^{11/6}} \, dx\) [1822]
3.19.23 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/6} (c+d x)^{17/6}} \, dx\) [1823]
3.19.24 \(\int \genfrac {}{}{}{}{(c+d x)^{11/6}}{(a+b x)^{5/6}} \, dx\) [1824]
3.19.25 \(\int \genfrac {}{}{}{}{(c+d x)^{5/6}}{(a+b x)^{5/6}} \, dx\) [1825]
3.19.26 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/6} \sqrt [6]{c+d x}} \, dx\) [1826]
3.19.27 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/6} (c+d x)^{7/6}} \, dx\) [1827]
3.19.28 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/6} (c+d x)^{13/6}} \, dx\) [1828]
3.19.29 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/6} (c+d x)^{19/6}} \, dx\) [1829]
3.19.30 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/6} (c+d x)^{25/6}} \, dx\) [1830]
3.19.31 \(\int \genfrac {}{}{}{}{(c+d x)^{13/6}}{(a+b x)^{7/6}} \, dx\) [1831]
3.19.32 \(\int \genfrac {}{}{}{}{(c+d x)^{7/6}}{(a+b x)^{7/6}} \, dx\) [1832]
3.19.33 \(\int \genfrac {}{}{}{}{\sqrt [6]{c+d x}}{(a+b x)^{7/6}} \, dx\) [1833]
3.19.34 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{7/6} (c+d x)^{5/6}} \, dx\) [1834]
3.19.35 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{7/6} (c+d x)^{11/6}} \, dx\) [1835]
3.19.36 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{7/6} (c+d x)^{17/6}} \, dx\) [1836]
3.19.37 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{7/6} (c+d x)^{23/6}} \, dx\) [1837]
3.19.38 \(\int \genfrac {}{}{}{}{(c+d x)^{11/6}}{(a+b x)^{7/6}} \, dx\) [1838]
3.19.39 \(\int \genfrac {}{}{}{}{(c+d x)^{5/6}}{(a+b x)^{7/6}} \, dx\) [1839]
3.19.40 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{7/6} \sqrt [6]{c+d x}} \, dx\) [1840]
3.19.41 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{7/6} (c+d x)^{7/6}} \, dx\) [1841]
3.19.42 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{7/6} (c+d x)^{13/6}} \, dx\) [1842]
3.19.43 \(\int \genfrac {}{}{}{}{1}{(a+b x)^{7/6} (c+d x)^{19/6}} \, dx\) [1843]
3.19.44 \(\int (a+b x)^m (a+b (2+m) x) \, dx\) [1844]
3.19.45 \(\int (a+b x)^m (c+d x)^n \, dx\) [1845]
3.19.46 \(\int (a+b x)^m (c+d x)^3 \, dx\) [1846]
3.19.47 \(\int (a+b x)^m (c+d x)^2 \, dx\) [1847]
3.19.48 \(\int (a+b x)^m (c+d x) \, dx\) [1848]
3.19.49 \(\int \genfrac {}{}{}{}{(a+b x)^m}{c+d x} \, dx\) [1849]
3.19.50 \(\int \genfrac {}{}{}{}{(a+b x)^m}{(c+d x)^2} \, dx\) [1850]
3.19.51 \(\int \genfrac {}{}{}{}{(a+b x)^m}{(c+d x)^3} \, dx\) [1851]
3.19.52 \(\int (a+b x)^3 (c+d x)^n \, dx\) [1852]
3.19.53 \(\int (a+b x)^2 (c+d x)^n \, dx\) [1853]
3.19.54 \(\int (a+b x) (c+d x)^n \, dx\) [1854]
3.19.55 \(\int (c+d x)^n \, dx\) [1855]
3.19.56 \(\int \genfrac {}{}{}{}{(c+d x)^n}{a+b x} \, dx\) [1856]
3.19.57 \(\int \genfrac {}{}{}{}{(c+d x)^n}{(a+b x)^2} \, dx\) [1857]
3.19.58 \(\int \genfrac {}{}{}{}{(c+d x)^n}{(a+b x)^3} \, dx\) [1858]
3.19.59 \(\int (a+b x)^{-4+n} (c+d x)^{-n} \, dx\) [1859]
3.19.60 \(\int (a+b x)^{-3+n} (c+d x)^{-n} \, dx\) [1860]
3.19.61 \(\int (a+b x)^{-2+n} (c+d x)^{-n} \, dx\) [1861]
3.19.62 \(\int (a+b x)^{-1+n} (c+d x)^{-n} \, dx\) [1862]
3.19.63 \(\int (a+b x)^n (c+d x)^{-n} \, dx\) [1863]
3.19.64 \(\int (a+b x)^{1+n} (c+d x)^{-n} \, dx\) [1864]
3.19.65 \(\int (a+b x)^{2+n} (c+d x)^{-n} \, dx\) [1865]
3.19.66 \(\int (a+b x)^{-n} (c+d x)^n \, dx\) [1866]
3.19.67 \(\int (a+b x)^{-1-n} (c+d x)^n \, dx\) [1867]
3.19.68 \(\int (a+b x)^{-2-n} (c+d x)^n \, dx\) [1868]
3.19.69 \(\int (a+b x)^{-3-n} (c+d x)^n \, dx\) [1869]
3.19.70 \(\int (a+b x)^{-4-n} (c+d x)^n \, dx\) [1870]
3.19.71 \(\int (a+b x)^{-5-n} (c+d x)^n \, dx\) [1871]
3.19.72 \(\int (a+b x)^n (c+d x)^{-n} \, dx\) [1872]
3.19.73 \(\int (a+b x)^n (c+d x)^{-1-n} \, dx\) [1873]
3.19.74 \(\int (a+b x)^n (c+d x)^{-2-n} \, dx\) [1874]
3.19.75 \(\int (a+b x)^n (c+d x)^{-3-n} \, dx\) [1875]
3.19.76 \(\int (a+b x)^n (c+d x)^{-4-n} \, dx\) [1876]
3.19.77 \(\int (a+b x)^n (c+d x)^{-5-n} \, dx\) [1877]
3.19.78 \(\int (a+b x)^{-2+n} (c+d x)^{1-n} \, dx\) [1878]
3.19.79 \(\int (a+b x)^{1+n} (c+d x)^{-1-n} \, dx\) [1879]
3.19.80 \(\int (a+b x)^m (c+d x)^{1+2 n-2 (1+n)} \, dx\) [1880]
3.19.81 \(\int \genfrac {}{}{}{}{(c+d x)^{1+2 n-2 (1+n)}}{(a+b x)^2} \, dx\) [1881]
3.19.82 \(\int (a+b x)^m (a c (1+m)+b c (2+m) x)^{-3-m} \, dx\) [1882]
3.19.83 \(\int (a+b x)^{-1-\genfrac {}{}{}{}{b c}{b c-a d}} (c+d x)^{-1+\genfrac {}{}{}{}{a d}{b c-a d}} \, dx\) [1883]
3.19.84 \(\int (a+b x)^{\genfrac {}{}{}{}{-2 b c+a d}{b c-a d}} (c+d x)^{\genfrac {}{}{}{}{b c-2 a d}{-b c+a d}} \, dx\) [1884]
3.19.85 \(\int \genfrac {}{}{}{}{(1-x)^n}{\sqrt {1+x}} \, dx\) [1885]
3.19.86 \(\int \genfrac {}{}{}{}{(1+x)^n}{\sqrt {1-x}} \, dx\) [1886]
3.19.87 \(\int (1-x)^n (1+x)^{7/3} \, dx\) [1887]
3.19.88 \(\int (1-x)^{7/3} (1+x)^n \, dx\) [1888]
3.19.89 \(\int (1+2 x)^{-m} (2+3 x)^m \, dx\) [1889]
3.19.90 \(\int (\genfrac {}{}{}{}{d (a+b x)}{-b c+a d})^m (c+d x)^n \, dx\) [1890]
3.19.91 \(\int (a+b x+c x^2+d x^3) \, dx\) [1891]
3.19.92 \(\int (-x^3+x^4) \, dx\) [1892]
3.19.93 \(\int (-1+x^5) \, dx\) [1893]
3.19.94 \(\int (7+4 x) \, dx\) [1894]
3.19.95 \(\int (4 x+\pi x^3) \, dx\) [1895]
3.19.96 \(\int (2 x+5 x^2) \, dx\) [1896]
3.19.97 \(\int (\genfrac {}{}{}{}{x^2}{2}+\genfrac {}{}{}{}{x^3}{3}) \, dx\) [1897]
3.19.98 \(\int (3-5 x+2 x^2) \, dx\) [1898]
3.19.99 \(\int (-2 x+x^2+x^3) \, dx\) [1899]
3.19.100 \(\int (1-x^2-3 x^5) \, dx\) [1900]