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3.18
Integrals 1701 to 1800
3.18.1
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{13/2}} \, dx\) [1701]
3.18.2
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{15/2}} \, dx\) [1702]
3.18.3
\(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1703]
3.18.4
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1704]
3.18.5
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1705]
3.18.6
\(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1706]
3.18.7
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1707]
3.18.8
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1708]
3.18.9
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1709]
3.18.10
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1710]
3.18.11
\(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1711]
3.18.12
\(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1712]
3.18.13
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1713]
3.18.14
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1714]
3.18.15
\(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1715]
3.18.16
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1716]
3.18.17
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1717]
3.18.18
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1718]
3.18.19
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1719]
3.18.20
\(\int \genfrac {}{}{}{}{(d+e x)^{13/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1720]
3.18.21
\(\int \genfrac {}{}{}{}{(d+e x)^{11/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1721]
3.18.22
\(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1722]
3.18.23
\(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1723]
3.18.24
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1724]
3.18.25
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1725]
3.18.26
\(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1726]
3.18.27
\(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1727]
3.18.28
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1728]
3.18.29
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1729]
3.18.30
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1730]
3.18.31
\(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1731]
3.18.32
\(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1732]
3.18.33
\(\int (d+e x)^m (a^2+2 a b x+b^2 x^2) \, dx\) [1733]
3.18.34
\(\int \genfrac {}{}{}{}{(d+e x)^m}{a^2+2 a b x+b^2 x^2} \, dx\) [1734]
3.18.35
\(\int \genfrac {}{}{}{}{(d+e x)^m}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1735]
3.18.36
\(\int \genfrac {}{}{}{}{(d+e x)^m}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1736]
3.18.37
\(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1737]
3.18.38
\(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1738]
3.18.39
\(\int (d+e x)^m \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1739]
3.18.40
\(\int \genfrac {}{}{}{}{(d+e x)^m}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1740]
3.18.41
\(\int \genfrac {}{}{}{}{(d+e x)^m}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1741]
3.18.42
\(\int \genfrac {}{}{}{}{(d+e x)^m}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [1742]
3.18.43
\(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^p \, dx\) [1743]
3.18.44
\(\int (d+e x)^3 (a^2+2 a b x+b^2 x^2)^p \, dx\) [1744]
3.18.45
\(\int (d+e x)^2 (a^2+2 a b x+b^2 x^2)^p \, dx\) [1745]
3.18.46
\(\int (d+e x) (a^2+2 a b x+b^2 x^2)^p \, dx\) [1746]
3.18.47
\(\int (a^2+2 a b x+b^2 x^2)^p \, dx\) [1747]
3.18.48
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{d+e x} \, dx\) [1748]
3.18.49
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{(d+e x)^2} \, dx\) [1749]
3.18.50
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{(d+e x)^3} \, dx\) [1750]
3.18.51
\(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^p \, dx\) [1751]
3.18.52
\(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^p \, dx\) [1752]
3.18.53
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{\sqrt {d+e x}} \, dx\) [1753]
3.18.54
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{(d+e x)^{3/2}} \, dx\) [1754]
3.18.55
\(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^p}{(d+e x)^{5/2}} \, dx\) [1755]
3.18.56
\(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^{5+p} \, dx\) [1756]
3.18.57
\(\int (d+e x)^{-3-2 p} (a^2+2 a b x+b^2 x^2)^p \, dx\) [1757]
3.18.58
\(\int (d+e x) (9+12 x+4 x^2)^p \, dx\) [1758]
3.18.59
\(\int (a+b x)^3 (a c+(b c+a d) x+b d x^2) \, dx\) [1759]
3.18.60
\(\int (a+b x)^2 (a c+(b c+a d) x+b d x^2) \, dx\) [1760]
3.18.61
\(\int (a+b x) (a c+(b c+a d) x+b d x^2) \, dx\) [1761]
3.18.62
\(\int (a c+(b c+a d) x+b d x^2) \, dx\) [1762]
3.18.63
\(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{a+b x} \, dx\) [1763]
3.18.64
\(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^2} \, dx\) [1764]
3.18.65
\(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^3} \, dx\) [1765]
3.18.66
\(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^4} \, dx\) [1766]
3.18.67
\(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^5} \, dx\) [1767]
3.18.68
\(\int \genfrac {}{}{}{}{a c+(b c+a d) x+b d x^2}{(a+b x)^6} \, dx\) [1768]
3.18.69
\(\int (a+b x)^3 (a c+(b c+a d) x+b d x^2)^2 \, dx\) [1769]
3.18.70
\(\int (a+b x)^2 (a c+(b c+a d) x+b d x^2)^2 \, dx\) [1770]
3.18.71
\(\int (a+b x) (a c+(b c+a d) x+b d x^2)^2 \, dx\) [1771]
3.18.72
\(\int (a c+(b c+a d) x+b d x^2)^2 \, dx\) [1772]
3.18.73
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{a+b x} \, dx\) [1773]
3.18.74
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^2} \, dx\) [1774]
3.18.75
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^3} \, dx\) [1775]
3.18.76
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^4} \, dx\) [1776]
3.18.77
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^5} \, dx\) [1777]
3.18.78
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^6} \, dx\) [1778]
3.18.79
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^7} \, dx\) [1779]
3.18.80
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^8} \, dx\) [1780]
3.18.81
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^9} \, dx\) [1781]
3.18.82
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^{10}} \, dx\) [1782]
3.18.83
\(\int (a+b x)^3 (a c+(b c+a d) x+b d x^2)^3 \, dx\) [1783]
3.18.84
\(\int (a+b x)^2 (a c+(b c+a d) x+b d x^2)^3 \, dx\) [1784]
3.18.85
\(\int (a+b x) (a c+(b c+a d) x+b d x^2)^3 \, dx\) [1785]
3.18.86
\(\int (a c+(b c+a d) x+b d x^2)^3 \, dx\) [1786]
3.18.87
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{a+b x} \, dx\) [1787]
3.18.88
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^2} \, dx\) [1788]
3.18.89
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^3} \, dx\) [1789]
3.18.90
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^4} \, dx\) [1790]
3.18.91
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^5} \, dx\) [1791]
3.18.92
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^6} \, dx\) [1792]
3.18.93
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^7} \, dx\) [1793]
3.18.94
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^8} \, dx\) [1794]
3.18.95
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^9} \, dx\) [1795]
3.18.96
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^{10}} \, dx\) [1796]
3.18.97
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^{11}} \, dx\) [1797]
3.18.98
\(\int \genfrac {}{}{}{}{(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^{12}} \, dx\) [1798]
3.18.99
\(\int \genfrac {}{}{}{}{(a+b x)^6}{a c+(b c+a d) x+b d x^2} \, dx\) [1799]
3.18.100
\(\int \genfrac {}{}{}{}{(a+b x)^5}{a c+(b c+a d) x+b d x^2} \, dx\) [1800]
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