3.17 Integrals 1601 to 1700

\(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x)^{5/2} (3+5 x)^{3/2}} \, dx\) [1601]
\(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x)^{7/2} (3+5 x)^{3/2}} \, dx\) [1602]
\(\int \genfrac {}{}{}{}{(2+3 x)^{13/2}}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [1603]
\(\int \genfrac {}{}{}{}{(2+3 x)^{11/2}}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [1604]
\(\int \genfrac {}{}{}{}{(2+3 x)^{9/2}}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [1605]
\(\int \genfrac {}{}{}{}{(2+3 x)^{7/2}}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [1606]
\(\int \genfrac {}{}{}{}{(2+3 x)^{5/2}}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [1607]
\(\int \genfrac {}{}{}{}{(2+3 x)^{3/2}}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [1608]
\(\int \genfrac {}{}{}{}{\sqrt {2+3 x}}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [1609]
\(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} \sqrt {2+3 x} (3+5 x)^{5/2}} \, dx\) [1610]
\(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x)^{3/2} (3+5 x)^{5/2}} \, dx\) [1611]
\(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x)^{5/2} (3+5 x)^{5/2}} \, dx\) [1612]
\(\int \genfrac {}{}{}{}{1}{(1-2 x)^{5/2} (2+3 x)^{7/2} (3+5 x)^{5/2}} \, dx\) [1613]
\(\int \genfrac {}{}{}{}{(c+d x)^{2/3}}{\sqrt {a+b x} (3 b c-4 a d-b d x)} \, dx\) [1614]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} \sqrt [3]{c+d x} (3 b c-4 a d-b d x)} \, dx\) [1615]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} (c+d x)^{4/3} (3 b c-4 a d-b d x)} \, dx\) [1616]
\(\int \genfrac {}{}{}{}{(c+d x)^{7/3}}{\sqrt {a+b x} (3 b c-4 a d-b d x)} \, dx\) [1617]
\(\int \genfrac {}{}{}{}{(c+d x)^{4/3}}{\sqrt {a+b x} (3 b c-4 a d-b d x)} \, dx\) [1618]
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+d x}}{\sqrt {a+b x} (3 b c-4 a d-b d x)} \, dx\) [1619]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} (c+d x)^{2/3} (3 b c-4 a d-b d x)} \, dx\) [1620]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} (c+d x)^{5/3} (3 b c-4 a d-b d x)} \, dx\) [1621]
\(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{\sqrt {c+d x} (e+f x)} \, dx\) [1622]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x} \sqrt [3]{c+d x}}{e+f x} \, dx\) [1623]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} \sqrt {c+d x}}{e+f x} \, dx\) [1624]
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{2/3} (c+d x)^{2/3} (b c+a d+2 b d x)} \, dx\) [1625]
\(\int \sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x)^2 \, dx\) [1626]
\(\int \sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x) \, dx\) [1627]
\(\int \sqrt [3]{a+b x} (c+d x)^{2/3} \, dx\) [1628]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (c+d x)^{2/3}}{e+f x} \, dx\) [1629]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (c+d x)^{2/3}}{(e+f x)^2} \, dx\) [1630]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (c+d x)^{2/3}}{(e+f x)^3} \, dx\) [1631]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (c+d x)^{2/3}}{(e+f x)^4} \, dx\) [1632]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (e+f x)^2}{\sqrt [3]{c+d x}} \, dx\) [1633]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x} (e+f x)}{\sqrt [3]{c+d x}} \, dx\) [1634]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x}} \, dx\) [1635]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x} (e+f x)} \, dx\) [1636]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x} (e+f x)^2} \, dx\) [1637]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x} (e+f x)^3} \, dx\) [1638]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x} (e+f x)^4} \, dx\) [1639]
\(\int \genfrac {}{}{}{}{(e+f x)^3}{\sqrt [3]{a+b x} (c+d x)^{2/3}} \, dx\) [1640]
\(\int \genfrac {}{}{}{}{(e+f x)^2}{\sqrt [3]{a+b x} (c+d x)^{2/3}} \, dx\) [1641]
\(\int \genfrac {}{}{}{}{e+f x}{\sqrt [3]{a+b x} (c+d x)^{2/3}} \, dx\) [1642]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x} (c+d x)^{2/3}} \, dx\) [1643]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x)} \, dx\) [1644]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x)^2} \, dx\) [1645]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x} (c+d x)^{2/3} (e+f x)^3} \, dx\) [1646]
\(\int \genfrac {}{}{}{}{(a+b x)^3}{\sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [1647]
\(\int \genfrac {}{}{}{}{(a+b x)^2}{\sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [1648]
\(\int \genfrac {}{}{}{}{a+b x}{\sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [1649]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [1650]
\(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [1651]
\(\int \genfrac {}{}{}{}{1}{(a+b x)^2 \sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [1652]
\(\int \genfrac {}{}{}{}{1}{(a+b x)^3 \sqrt [3]{c+d x} \sqrt [3]{b c+a d+2 b d x}} \, dx\) [1653]
\(\int \genfrac {}{}{}{}{(a+b x)^3}{\sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [1654]
\(\int \genfrac {}{}{}{}{(a+b x)^2}{\sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [1655]
\(\int \genfrac {}{}{}{}{a+b x}{\sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [1656]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [1657]
\(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [1658]
\(\int \genfrac {}{}{}{}{1}{(a+b x)^2 \sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [1659]
\(\int \genfrac {}{}{}{}{1}{(a+b x)^3 \sqrt [3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx\) [1660]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{d-3 e x} (d+e x) \sqrt [3]{d+3 e x}} \, dx\) [1661]
\(\int \genfrac {}{}{}{}{(a+b x)^{4/3} (e+f x)^2}{(c+d x)^{4/3}} \, dx\) [1662]
\(\int \genfrac {}{}{}{}{(a+b x)^{4/3} (e+f x)}{(c+d x)^{4/3}} \, dx\) [1663]
\(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3}} \, dx\) [1664]
\(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)} \, dx\) [1665]
\(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)^2} \, dx\) [1666]
\(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)^3} \, dx\) [1667]
\(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)^4} \, dx\) [1668]
\(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt {c+d x} \sqrt [4]{e+f x}} \, dx\) [1669]
\(\int \genfrac {}{}{}{}{1}{(a+b x) \sqrt {c+d x} (e+f x)^{3/4}} \, dx\) [1670]
\(\int \genfrac {}{}{}{}{(c+d x)^{5/4}}{(e+x)^{5/4} (a+b x)^2} \, dx\) [1671]
\(\int \genfrac {}{}{}{}{(c+d x)^{5/4}}{(a+b x)^2 (e+f x)^{5/4}} \, dx\) [1672]
\(\int \sqrt {a+b x} \sqrt [3]{c+d x} \sqrt [4]{e+f x} \, dx\) [1673]
\(\int \sqrt [3]{a+b x} \sqrt {c+d x} \sqrt [4]{e+f x} \, dx\) [1674]
\(\int \genfrac {}{}{}{}{(c+d x)^{2/5} (e+f x)^{3/5}}{\sqrt {a+b x}} \, dx\) [1675]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{(c+d x)^{3/2} (e+f x)^{5/6}} \, dx\) [1676]
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{(c+d x)^{5/2} (e+f x)^{5/6}} \, dx\) [1677]
\(\int \genfrac {}{}{}{}{(2+3 x)^m (3+5 x)^3}{1-2 x} \, dx\) [1678]
\(\int \genfrac {}{}{}{}{(2+3 x)^m (3+5 x)^2}{1-2 x} \, dx\) [1679]
\(\int \genfrac {}{}{}{}{(2+3 x)^m (3+5 x)}{1-2 x} \, dx\) [1680]
\(\int \genfrac {}{}{}{}{(2+3 x)^m}{(1-2 x) (3+5 x)} \, dx\) [1681]
\(\int \genfrac {}{}{}{}{(2+3 x)^m}{(1-2 x) (3+5 x)^2} \, dx\) [1682]
\(\int \genfrac {}{}{}{}{(2+3 x)^m}{(1-2 x) (3+5 x)^3} \, dx\) [1683]
\(\int \genfrac {}{}{}{}{(a+b x)^m}{(e+f x)^2} \, dx\) [1684]
\(\int \genfrac {}{}{}{}{(a+b x)^m}{(c+d x) (e+f x)^2} \, dx\) [1685]
\(\int \genfrac {}{}{}{}{(a+b x)^m}{(c+d x)^2 (e+f x)^2} \, dx\) [1686]
\(\int \genfrac {}{}{}{}{(3+4 x)^m}{\sqrt {1-x} \sqrt {1+x}} \, dx\) [1687]
\(\int \genfrac {}{}{}{}{(3-4 x)^m}{\sqrt {1-x} \sqrt {1+x}} \, dx\) [1688]
\(\int \genfrac {}{}{}{}{(-3+4 x)^m}{\sqrt {1-x} \sqrt {1+x}} \, dx\) [1689]
\(\int \genfrac {}{}{}{}{(-3-4 x)^m}{\sqrt {1-x} \sqrt {1+x}} \, dx\) [1690]
\(\int \genfrac {}{}{}{}{(a+b x)^m}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [1691]
\(\int \genfrac {}{}{}{}{(a+b x)^m}{\sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [1692]
\(\int \genfrac {}{}{}{}{(a+b x)^m (2+d x)^{3/2}}{\sqrt {2-d x}} \, dx\) [1693]
\(\int \genfrac {}{}{}{}{(a+b x)^m \sqrt {2+d x}}{\sqrt {2-d x}} \, dx\) [1694]
\(\int \genfrac {}{}{}{}{(a+b x)^m}{\sqrt {2-d x} \sqrt {2+d x}} \, dx\) [1695]
\(\int \genfrac {}{}{}{}{(a+b x)^m}{\sqrt {2-d x} (2+d x)^{3/2}} \, dx\) [1696]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x} (e+f x)^m}{\sqrt {c+d x}} \, dx\) [1697]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (e+f x)^m}{\sqrt {a+b x}} \, dx\) [1698]
\(\int \genfrac {}{}{}{}{(e+f x)^m}{\sqrt {a+b x} (c+d x)^{3/2}} \, dx\) [1699]
\(\int \genfrac {}{}{}{}{(e+f x)^m}{(a+b x)^{3/2} \sqrt {c+d x}} \, dx\) [1700]