3.19.1 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^{5/2} x^{7/2}} \, dx\) [1801]
3.19.2 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^{5/2} x^{9/2}} \, dx\) [1802]
3.19.3 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^{5/2} x^{11/2}} \, dx\) [1803]
3.19.4 \(\int (a+\genfrac {}{}{}{}{b}{x^2}) x^6 \, dx\) [1804]
3.19.5 \(\int (a+\genfrac {}{}{}{}{b}{x^2}) x^5 \, dx\) [1805]
3.19.6 \(\int (a+\genfrac {}{}{}{}{b}{x^2}) x^4 \, dx\) [1806]
3.19.7 \(\int (a+\genfrac {}{}{}{}{b}{x^2}) x^3 \, dx\) [1807]
3.19.8 \(\int (a+\genfrac {}{}{}{}{b}{x^2}) x^2 \, dx\) [1808]
3.19.9 \(\int (a+\genfrac {}{}{}{}{b}{x^2}) x \, dx\) [1809]
3.19.10 \(\int (a+\genfrac {}{}{}{}{b}{x^2}) \, dx\) [1810]
3.19.11 \(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{x} \, dx\) [1811]
3.19.12 \(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{x^2} \, dx\) [1812]
3.19.13 \(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{x^3} \, dx\) [1813]
3.19.14 \(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{x^4} \, dx\) [1814]
3.19.15 \(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{x^5} \, dx\) [1815]
3.19.16 \(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x^2}}{x^6} \, dx\) [1816]
3.19.17 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^2 x^6 \, dx\) [1817]
3.19.18 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^2 x^5 \, dx\) [1818]
3.19.19 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^2 x^4 \, dx\) [1819]
3.19.20 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^2 x^3 \, dx\) [1820]
3.19.21 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^2 x^2 \, dx\) [1821]
3.19.22 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^2 x \, dx\) [1822]
3.19.23 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^2 \, dx\) [1823]
3.19.24 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^2}{x} \, dx\) [1824]
3.19.25 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^2}{x^2} \, dx\) [1825]
3.19.26 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^2}{x^3} \, dx\) [1826]
3.19.27 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^2}{x^4} \, dx\) [1827]
3.19.28 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^2}{x^5} \, dx\) [1828]
3.19.29 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^2}{x^6} \, dx\) [1829]
3.19.30 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^3 x^6 \, dx\) [1830]
3.19.31 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^3 x^5 \, dx\) [1831]
3.19.32 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^3 x^4 \, dx\) [1832]
3.19.33 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^3 x^3 \, dx\) [1833]
3.19.34 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^3 x^2 \, dx\) [1834]
3.19.35 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^3 x \, dx\) [1835]
3.19.36 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^3 \, dx\) [1836]
3.19.37 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^3}{x} \, dx\) [1837]
3.19.38 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^3}{x^2} \, dx\) [1838]
3.19.39 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^3}{x^3} \, dx\) [1839]
3.19.40 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^3}{x^4} \, dx\) [1840]
3.19.41 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^3}{x^5} \, dx\) [1841]
3.19.42 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^3}{x^6} \, dx\) [1842]
3.19.43 \(\int \genfrac {}{}{}{}{x^6}{a+\genfrac {}{}{}{}{b}{x^2}} \, dx\) [1843]
3.19.44 \(\int \genfrac {}{}{}{}{x^5}{a+\genfrac {}{}{}{}{b}{x^2}} \, dx\) [1844]
3.19.45 \(\int \genfrac {}{}{}{}{x^4}{a+\genfrac {}{}{}{}{b}{x^2}} \, dx\) [1845]
3.19.46 \(\int \genfrac {}{}{}{}{x^3}{a+\genfrac {}{}{}{}{b}{x^2}} \, dx\) [1846]
3.19.47 \(\int \genfrac {}{}{}{}{x^2}{a+\genfrac {}{}{}{}{b}{x^2}} \, dx\) [1847]
3.19.48 \(\int \genfrac {}{}{}{}{x}{a+\genfrac {}{}{}{}{b}{x^2}} \, dx\) [1848]
3.19.49 \(\int \genfrac {}{}{}{}{1}{a+\genfrac {}{}{}{}{b}{x^2}} \, dx\) [1849]
3.19.50 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2}) x} \, dx\) [1850]
3.19.51 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2}) x^2} \, dx\) [1851]
3.19.52 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2}) x^3} \, dx\) [1852]
3.19.53 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2}) x^4} \, dx\) [1853]
3.19.54 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2}) x^5} \, dx\) [1854]
3.19.55 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2}) x^6} \, dx\) [1855]
3.19.56 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2}) x^7} \, dx\) [1856]
3.19.57 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2}) x^8} \, dx\) [1857]
3.19.58 \(\int \genfrac {}{}{}{}{x^6}{(a+\genfrac {}{}{}{}{b}{x^2})^2} \, dx\) [1858]
3.19.59 \(\int \genfrac {}{}{}{}{x^5}{(a+\genfrac {}{}{}{}{b}{x^2})^2} \, dx\) [1859]
3.19.60 \(\int \genfrac {}{}{}{}{x^4}{(a+\genfrac {}{}{}{}{b}{x^2})^2} \, dx\) [1860]
3.19.61 \(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x^2})^2} \, dx\) [1861]
3.19.62 \(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{x^2})^2} \, dx\) [1862]
3.19.63 \(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x^2})^2} \, dx\) [1863]
3.19.64 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^2} \, dx\) [1864]
3.19.65 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^2 x} \, dx\) [1865]
3.19.66 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^2 x^2} \, dx\) [1866]
3.19.67 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^2 x^3} \, dx\) [1867]
3.19.68 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^2 x^4} \, dx\) [1868]
3.19.69 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^2 x^5} \, dx\) [1869]
3.19.70 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^2 x^6} \, dx\) [1870]
3.19.71 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^2 x^7} \, dx\) [1871]
3.19.72 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^2 x^8} \, dx\) [1872]
3.19.73 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^2 x^9} \, dx\) [1873]
3.19.74 \(\int \genfrac {}{}{}{}{x^5}{(a+\genfrac {}{}{}{}{b}{x^2})^3} \, dx\) [1874]
3.19.75 \(\int \genfrac {}{}{}{}{x^4}{(a+\genfrac {}{}{}{}{b}{x^2})^3} \, dx\) [1875]
3.19.76 \(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x^2})^3} \, dx\) [1876]
3.19.77 \(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{x^2})^3} \, dx\) [1877]
3.19.78 \(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x^2})^3} \, dx\) [1878]
3.19.79 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^3} \, dx\) [1879]
3.19.80 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^3 x} \, dx\) [1880]
3.19.81 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^3 x^2} \, dx\) [1881]
3.19.82 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^3 x^3} \, dx\) [1882]
3.19.83 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^3 x^4} \, dx\) [1883]
3.19.84 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^3 x^5} \, dx\) [1884]
3.19.85 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^3 x^6} \, dx\) [1885]
3.19.86 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^3 x^7} \, dx\) [1886]
3.19.87 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^3 x^8} \, dx\) [1887]
3.19.88 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^3 x^9} \, dx\) [1888]
3.19.89 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^3 x^{10}} \, dx\) [1889]
3.19.90 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^3 x^{11}} \, dx\) [1890]
3.19.91 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^2}} x^3 \, dx\) [1891]
3.19.92 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^2}} x^2 \, dx\) [1892]
3.19.93 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^2}} x \, dx\) [1893]
3.19.94 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^2}} \, dx\) [1894]
3.19.95 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}}}{x} \, dx\) [1895]
3.19.96 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}}}{x^2} \, dx\) [1896]
3.19.97 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}}}{x^3} \, dx\) [1897]
3.19.98 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}}}{x^4} \, dx\) [1898]
3.19.99 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x^3 \, dx\) [1899]
3.19.100 \(\int (a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x^2 \, dx\) [1900]