3.17 Integrals 1601 to 1663

\(\int \genfrac {}{}{}{}{x^m (c+d x^2)^3}{(a+b x^2)^2} \, dx\) [1601]
\(\int \genfrac {}{}{}{}{x^m (c+d x^2)^2}{(a+b x^2)^2} \, dx\) [1602]
\(\int \genfrac {}{}{}{}{x^m (c+d x^2)}{(a+b x^2)^2} \, dx\) [1603]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^2)^2 (c+d x^2)} \, dx\) [1604]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^2)^2 (c+d x^2)^2} \, dx\) [1605]
\(\int \genfrac {}{}{}{}{x^m}{(a+b x^2)^2 (c+d x^2)^3} \, dx\) [1606]
\(\int (e x)^{1-2 p} (a+b x^2)^p (c+d x^2)^3 \, dx\) [1607]
\(\int (e x)^{1-2 p} (a+b x^2)^p (c+d x^2)^2 \, dx\) [1608]
\(\int (e x)^{1-2 p} (a+b x^2)^p (c+d x^2) \, dx\) [1609]
\(\int (e x)^{1-2 p} (a+b x^2)^p \, dx\) [1610]
\(\int \genfrac {}{}{}{}{(e x)^{1-2 p} (a+b x^2)^p}{c+d x^2} \, dx\) [1611]
\(\int \genfrac {}{}{}{}{(e x)^{1-2 p} (a+b x^2)^p}{(c+d x^2)^2} \, dx\) [1612]
\(\int \genfrac {}{}{}{}{(e x)^{1-2 p} (a+b x^2)^p}{(c+d x^2)^3} \, dx\) [1613]
\(\int (e x)^{-2 p} (a+b x^2)^p (c+d x^2)^3 \, dx\) [1614]
\(\int (e x)^{-2 p} (a+b x^2)^p (c+d x^2)^2 \, dx\) [1615]
\(\int (e x)^{-2 p} (a+b x^2)^p (c+d x^2) \, dx\) [1616]
\(\int (e x)^{-2 p} (a+b x^2)^p \, dx\) [1617]
\(\int \genfrac {}{}{}{}{(e x)^{-2 p} (a+b x^2)^p}{c+d x^2} \, dx\) [1618]
\(\int \genfrac {}{}{}{}{(e x)^{-2 p} (a+b x^2)^p}{(c+d x^2)^2} \, dx\) [1619]
\(\int \genfrac {}{}{}{}{(e x)^{-2 p} (a+b x^2)^p}{(c+d x^2)^3} \, dx\) [1620]
\(\int (e x)^{-1-2 p} (a+b x^2)^p (c+d x^2)^3 \, dx\) [1621]
\(\int (e x)^{-1-2 p} (a+b x^2)^p (c+d x^2)^2 \, dx\) [1622]
\(\int (e x)^{-1-2 p} (a+b x^2)^p (c+d x^2) \, dx\) [1623]
\(\int (e x)^{-1-2 p} (a+b x^2)^p \, dx\) [1624]
\(\int \genfrac {}{}{}{}{(e x)^{-1-2 p} (a+b x^2)^p}{c+d x^2} \, dx\) [1625]
\(\int \genfrac {}{}{}{}{(e x)^{-1-2 p} (a+b x^2)^p}{(c+d x^2)^2} \, dx\) [1626]
\(\int \genfrac {}{}{}{}{(e x)^{-1-2 p} (a+b x^2)^p}{(c+d x^2)^3} \, dx\) [1627]
\(\int (e x)^{-2-2 p} (a+b x^2)^p (c+d x^2)^3 \, dx\) [1628]
\(\int (e x)^{-2-2 p} (a+b x^2)^p (c+d x^2)^2 \, dx\) [1629]
\(\int (e x)^{-2-2 p} (a+b x^2)^p (c+d x^2) \, dx\) [1630]
\(\int (e x)^{-2-2 p} (a+b x^2)^p \, dx\) [1631]
\(\int \genfrac {}{}{}{}{(e x)^{-2-2 p} (a+b x^2)^p}{c+d x^2} \, dx\) [1632]
\(\int \genfrac {}{}{}{}{(e x)^{-2-2 p} (a+b x^2)^p}{(c+d x^2)^2} \, dx\) [1633]
\(\int \genfrac {}{}{}{}{(e x)^{-2-2 p} (a+b x^2)^p}{(c+d x^2)^3} \, dx\) [1634]
\(\int x^5 (a+b x^2)^p (c+d x^2)^q \, dx\) [1635]
\(\int x^3 (a+b x^2)^p (c+d x^2)^q \, dx\) [1636]
\(\int x (a+b x^2)^p (c+d x^2)^q \, dx\) [1637]
\(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{x} \, dx\) [1638]
\(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{x^3} \, dx\) [1639]
\(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{x^5} \, dx\) [1640]
\(\int x^4 (a+b x^2)^p (c+d x^2)^q \, dx\) [1641]
\(\int x^2 (a+b x^2)^p (c+d x^2)^q \, dx\) [1642]
\(\int (a+b x^2)^p (c+d x^2)^q \, dx\) [1643]
\(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{x^2} \, dx\) [1644]
\(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{x^4} \, dx\) [1645]
\(\int (e x)^{3/2} (a+b x^2)^p (c+d x^2)^q \, dx\) [1646]
\(\int \sqrt {e x} (a+b x^2)^p (c+d x^2)^q \, dx\) [1647]
\(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{\sqrt {e x}} \, dx\) [1648]
\(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{(e x)^{3/2}} \, dx\) [1649]
\(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{(e x)^{5/2}} \, dx\) [1650]
\(\int (e x)^m (a+b x^2)^p (c+d x^2)^p \, dx\) [1651]
\(\int (e x)^m (1-b x^2)^p (1+b x^2)^p \, dx\) [1652]
\(\int (e x)^m (a-b x^2)^p (a+b x^2)^p \, dx\) [1653]
\(\int (e x)^{-7-4 p} (a+b x^2)^p (c+d x^2)^p \, dx\) [1654]
\(\int (e x)^{-5-4 p} (a+b x^2)^p (c+d x^2)^p \, dx\) [1655]
\(\int (e x)^{-3-4 p} (a+b x^2)^p (c+d x^2)^p \, dx\) [1656]
\(\int (e x)^{-1-4 p} (a+b x^2)^p (c+d x^2)^p \, dx\) [1657]
\(\int (e x)^{1-4 p} (a+b x^2)^p (c+d x^2)^p \, dx\) [1658]
\(\int (e x)^m (a+b x^2)^p (c+d x^2)^q \, dx\) [1659]
\(\int \genfrac {}{}{}{}{e g+f g x}{(a+b (e+f x)^2) (c+d (e+f x)^2)} \, dx\) [1660]
\(\int \genfrac {}{}{}{}{e g+f g x}{(a+b e^2+2 b e f x+b f^2 x^2) (c+d (e+f x)^2)} \, dx\) [1661]
\(\int \genfrac {}{}{}{}{e g+f g x}{(c+d e^2+2 d e f x+d f^2 x^2) (a+b (e+f x)^2)} \, dx\) [1662]
\(\int \genfrac {}{}{}{}{e g+f g x}{(a+b e^2+2 b e f x+b f^2 x^2) (c+d e^2+2 d e f x+d f^2 x^2)} \, dx\) [1663]