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3.19
Integrals 1801 to 1900
3.19.1
\(\int (A+B x) (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1801]
3.19.2
\(\int (A+B x) (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1802]
3.19.3
\(\int (A+B x) \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1803]
3.19.4
\(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^3}{\sqrt {d+e x}} \, dx\) [1804]
3.19.5
\(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{3/2}} \, dx\) [1805]
3.19.6
\(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{5/2}} \, dx\) [1806]
3.19.7
\(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{7/2}} \, dx\) [1807]
3.19.8
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{7/2}}{a^2+2 a b x+b^2 x^2} \, dx\) [1808]
3.19.9
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{5/2}}{a^2+2 a b x+b^2 x^2} \, dx\) [1809]
3.19.10
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{3/2}}{a^2+2 a b x+b^2 x^2} \, dx\) [1810]
3.19.11
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {d+e x}}{a^2+2 a b x+b^2 x^2} \, dx\) [1811]
3.19.12
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)} \, dx\) [1812]
3.19.13
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)} \, dx\) [1813]
3.19.14
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)} \, dx\) [1814]
3.19.15
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)} \, dx\) [1815]
3.19.16
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1816]
3.19.17
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1817]
3.19.18
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1818]
3.19.19
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1819]
3.19.20
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1820]
3.19.21
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1821]
3.19.22
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1822]
3.19.23
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1823]
3.19.24
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1824]
3.19.25
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{11/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1825]
3.19.26
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1826]
3.19.27
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1827]
3.19.28
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1828]
3.19.29
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1829]
3.19.30
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1830]
3.19.31
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1831]
3.19.32
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1832]
3.19.33
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1833]
3.19.34
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1834]
3.19.35
\(\int (A+B x) (d+e x)^{7/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1835]
3.19.36
\(\int (A+B x) (d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1836]
3.19.37
\(\int (A+B x) (d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1837]
3.19.38
\(\int (A+B x) \sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1838]
3.19.39
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a^2+2 a b x+b^2 x^2}}{\sqrt {d+e x}} \, dx\) [1839]
3.19.40
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{3/2}} \, dx\) [1840]
3.19.41
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{5/2}} \, dx\) [1841]
3.19.42
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{7/2}} \, dx\) [1842]
3.19.43
\(\int (A+B x) (d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1843]
3.19.44
\(\int (A+B x) (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1844]
3.19.45
\(\int (A+B x) (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1845]
3.19.46
\(\int (A+B x) \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1846]
3.19.47
\(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^{3/2}}{\sqrt {d+e x}} \, dx\) [1847]
3.19.48
\(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [1848]
3.19.49
\(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\) [1849]
3.19.50
\(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\) [1850]
3.19.51
\(\int (A+B x) (d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1851]
3.19.52
\(\int (A+B x) (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1852]
3.19.53
\(\int (A+B x) (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1853]
3.19.54
\(\int (A+B x) \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1854]
3.19.55
\(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{\sqrt {d+e x}} \, dx\) [1855]
3.19.56
\(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{3/2}} \, dx\) [1856]
3.19.57
\(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [1857]
3.19.58
\(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{7/2}} \, dx\) [1858]
3.19.59
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{5/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1859]
3.19.60
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{3/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1860]
3.19.61
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {d+e x}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1861]
3.19.62
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1862]
3.19.63
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1863]
3.19.64
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1864]
3.19.65
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{7/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1865]
3.19.66
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1866]
3.19.67
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1867]
3.19.68
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1868]
3.19.69
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1869]
3.19.70
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1870]
3.19.71
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1871]
3.19.72
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1872]
3.19.73
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1873]
3.19.74
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{11/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1874]
3.19.75
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1875]
3.19.76
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1876]
3.19.77
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1877]
3.19.78
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1878]
3.19.79
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1879]
3.19.80
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1880]
3.19.81
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1881]
3.19.82
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1882]
3.19.83
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1883]
3.19.84
\(\int (A+B x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1884]
3.19.85
\(\int (A+B x) (d+e x)^m (a^2+2 a b x+b^2 x^2) \, dx\) [1885]
3.19.86
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^m}{a^2+2 a b x+b^2 x^2} \, dx\) [1886]
3.19.87
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^m}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1887]
3.19.88
\(\int (A+B x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1888]
3.19.89
\(\int (A+B x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1889]
3.19.90
\(\int (A+B x) (d+e x)^m \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1890]
3.19.91
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^m}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1891]
3.19.92
\(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^m}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1892]
3.19.93
\(\int (A+B x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^p \, dx\) [1893]
3.19.94
\(\int (d+e x)^{-3-2 p} (f+g x) (a^2+2 a b x+b^2 x^2)^p \, dx\) [1894]
3.19.95
\(\int (a+b x) (d+e x)^5 (a^2+2 a b x+b^2 x^2) \, dx\) [1895]
3.19.96
\(\int (a+b x) (d+e x)^4 (a^2+2 a b x+b^2 x^2) \, dx\) [1896]
3.19.97
\(\int (a+b x) (d+e x)^3 (a^2+2 a b x+b^2 x^2) \, dx\) [1897]
3.19.98
\(\int (a+b x) (d+e x)^2 (a^2+2 a b x+b^2 x^2) \, dx\) [1898]
3.19.99
\(\int (a+b x) (d+e x) (a^2+2 a b x+b^2 x^2) \, dx\) [1899]
3.19.100
\(\int (a+b x) (a^2+2 a b x+b^2 x^2) \, dx\) [1900]
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