3.17 Integrals 1601 to 1700

3.17.1 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^8}{x^3} \, dx\) [1601]
3.17.2 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^8}{x^4} \, dx\) [1602]
3.17.3 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^8}{x^5} \, dx\) [1603]
3.17.4 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^8}{x^6} \, dx\) [1604]
3.17.5 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^8}{x^7} \, dx\) [1605]
3.17.6 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^8}{x^8} \, dx\) [1606]
3.17.7 \(\int \genfrac {}{}{}{}{x^4}{a+\genfrac {}{}{}{}{b}{x}} \, dx\) [1607]
3.17.8 \(\int \genfrac {}{}{}{}{x^3}{a+\genfrac {}{}{}{}{b}{x}} \, dx\) [1608]
3.17.9 \(\int \genfrac {}{}{}{}{x^2}{a+\genfrac {}{}{}{}{b}{x}} \, dx\) [1609]
3.17.10 \(\int \genfrac {}{}{}{}{x}{a+\genfrac {}{}{}{}{b}{x}} \, dx\) [1610]
3.17.11 \(\int \genfrac {}{}{}{}{1}{a+\genfrac {}{}{}{}{b}{x}} \, dx\) [1611]
3.17.12 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x}) x} \, dx\) [1612]
3.17.13 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x}) x^2} \, dx\) [1613]
3.17.14 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x}) x^3} \, dx\) [1614]
3.17.15 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x}) x^4} \, dx\) [1615]
3.17.16 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x}) x^5} \, dx\) [1616]
3.17.17 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x}) x^6} \, dx\) [1617]
3.17.18 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x}) x^7} \, dx\) [1618]
3.17.19 \(\int \genfrac {}{}{}{}{x^5}{(a+\genfrac {}{}{}{}{b}{x})^2} \, dx\) [1619]
3.17.20 \(\int \genfrac {}{}{}{}{x^4}{(a+\genfrac {}{}{}{}{b}{x})^2} \, dx\) [1620]
3.17.21 \(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x})^2} \, dx\) [1621]
3.17.22 \(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{x})^2} \, dx\) [1622]
3.17.23 \(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x})^2} \, dx\) [1623]
3.17.24 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2} \, dx\) [1624]
3.17.25 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2 x} \, dx\) [1625]
3.17.26 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2 x^2} \, dx\) [1626]
3.17.27 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2 x^3} \, dx\) [1627]
3.17.28 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2 x^4} \, dx\) [1628]
3.17.29 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2 x^5} \, dx\) [1629]
3.17.30 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2 x^6} \, dx\) [1630]
3.17.31 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2 x^7} \, dx\) [1631]
3.17.32 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2 x^8} \, dx\) [1632]
3.17.33 \(\int \genfrac {}{}{}{}{x^4}{(a+\genfrac {}{}{}{}{b}{x})^3} \, dx\) [1633]
3.17.34 \(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x})^3} \, dx\) [1634]
3.17.35 \(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{x})^3} \, dx\) [1635]
3.17.36 \(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x})^3} \, dx\) [1636]
3.17.37 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3} \, dx\) [1637]
3.17.38 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x} \, dx\) [1638]
3.17.39 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x^2} \, dx\) [1639]
3.17.40 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x^3} \, dx\) [1640]
3.17.41 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x^4} \, dx\) [1641]
3.17.42 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x^5} \, dx\) [1642]
3.17.43 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x^6} \, dx\) [1643]
3.17.44 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x^7} \, dx\) [1644]
3.17.45 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x^8} \, dx\) [1645]
3.17.46 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x^9} \, dx\) [1646]
3.17.47 \(\int (a+\genfrac {}{}{}{}{b}{x}) x^{5/2} \, dx\) [1647]
3.17.48 \(\int (a+\genfrac {}{}{}{}{b}{x}) x^{3/2} \, dx\) [1648]
3.17.49 \(\int (a+\genfrac {}{}{}{}{b}{x}) \sqrt {x} \, dx\) [1649]
3.17.50 \(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x}}{\sqrt {x}} \, dx\) [1650]
3.17.51 \(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x}}{x^{3/2}} \, dx\) [1651]
3.17.52 \(\int \genfrac {}{}{}{}{a+\genfrac {}{}{}{}{b}{x}}{x^{5/2}} \, dx\) [1652]
3.17.53 \(\int (a+\genfrac {}{}{}{}{b}{x})^2 x^{5/2} \, dx\) [1653]
3.17.54 \(\int (a+\genfrac {}{}{}{}{b}{x})^2 x^{3/2} \, dx\) [1654]
3.17.55 \(\int (a+\genfrac {}{}{}{}{b}{x})^2 \sqrt {x} \, dx\) [1655]
3.17.56 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^2}{\sqrt {x}} \, dx\) [1656]
3.17.57 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^2}{x^{3/2}} \, dx\) [1657]
3.17.58 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^2}{x^{5/2}} \, dx\) [1658]
3.17.59 \(\int (a+\genfrac {}{}{}{}{b}{x})^3 x^{5/2} \, dx\) [1659]
3.17.60 \(\int (a+\genfrac {}{}{}{}{b}{x})^3 x^{3/2} \, dx\) [1660]
3.17.61 \(\int (a+\genfrac {}{}{}{}{b}{x})^3 \sqrt {x} \, dx\) [1661]
3.17.62 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^3}{\sqrt {x}} \, dx\) [1662]
3.17.63 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^3}{x^{3/2}} \, dx\) [1663]
3.17.64 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^3}{x^{5/2}} \, dx\) [1664]
3.17.65 \(\int \genfrac {}{}{}{}{x^{5/2}}{a+\genfrac {}{}{}{}{b}{x}} \, dx\) [1665]
3.17.66 \(\int \genfrac {}{}{}{}{x^{3/2}}{a+\genfrac {}{}{}{}{b}{x}} \, dx\) [1666]
3.17.67 \(\int \genfrac {}{}{}{}{\sqrt {x}}{a+\genfrac {}{}{}{}{b}{x}} \, dx\) [1667]
3.17.68 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x}) \sqrt {x}} \, dx\) [1668]
3.17.69 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x}) x^{3/2}} \, dx\) [1669]
3.17.70 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x}) x^{5/2}} \, dx\) [1670]
3.17.71 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x}) x^{7/2}} \, dx\) [1671]
3.17.72 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x}) x^{9/2}} \, dx\) [1672]
3.17.73 \(\int \genfrac {}{}{}{}{x^{5/2}}{(a+\genfrac {}{}{}{}{b}{x})^2} \, dx\) [1673]
3.17.74 \(\int \genfrac {}{}{}{}{x^{3/2}}{(a+\genfrac {}{}{}{}{b}{x})^2} \, dx\) [1674]
3.17.75 \(\int \genfrac {}{}{}{}{\sqrt {x}}{(a+\genfrac {}{}{}{}{b}{x})^2} \, dx\) [1675]
3.17.76 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2 \sqrt {x}} \, dx\) [1676]
3.17.77 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2 x^{3/2}} \, dx\) [1677]
3.17.78 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2 x^{5/2}} \, dx\) [1678]
3.17.79 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2 x^{7/2}} \, dx\) [1679]
3.17.80 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2 x^{9/2}} \, dx\) [1680]
3.17.81 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^2 x^{11/2}} \, dx\) [1681]
3.17.82 \(\int \genfrac {}{}{}{}{x^{3/2}}{(a+\genfrac {}{}{}{}{b}{x})^3} \, dx\) [1682]
3.17.83 \(\int \genfrac {}{}{}{}{\sqrt {x}}{(a+\genfrac {}{}{}{}{b}{x})^3} \, dx\) [1683]
3.17.84 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 \sqrt {x}} \, dx\) [1684]
3.17.85 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x^{3/2}} \, dx\) [1685]
3.17.86 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x^{5/2}} \, dx\) [1686]
3.17.87 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x^{7/2}} \, dx\) [1687]
3.17.88 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x^{9/2}} \, dx\) [1688]
3.17.89 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x^{11/2}} \, dx\) [1689]
3.17.90 \(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x})^3 x^{13/2}} \, dx\) [1690]
3.17.91 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x}} x^3 \, dx\) [1691]
3.17.92 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x}} x^2 \, dx\) [1692]
3.17.93 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x}} x \, dx\) [1693]
3.17.94 \(\int \sqrt {a+\genfrac {}{}{}{}{b}{x}} \, dx\) [1694]
3.17.95 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}}{x} \, dx\) [1695]
3.17.96 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}}{x^2} \, dx\) [1696]
3.17.97 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}}{x^3} \, dx\) [1697]
3.17.98 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}}{x^4} \, dx\) [1698]
3.17.99 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}}{x^5} \, dx\) [1699]
3.17.100 \(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x}}}{x^6} \, dx\) [1700]