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3.20
Integrals 1901 to 2000
3.20.1
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x \, dx\) [1901]
3.20.2
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^{3/2} \, dx\) [1902]
3.20.3
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2}}{x} \, dx\) [1903]
3.20.4
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2}}{x^2} \, dx\) [1904]
3.20.5
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2}}{x^3} \, dx\) [1905]
3.20.6
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2}}{x^4} \, dx\) [1906]
3.20.7
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^3 \, dx\) [1907]
3.20.8
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^2 \, dx\) [1908]
3.20.9
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x \, dx\) [1909]
3.20.10
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^{5/2} \, dx\) [1910]
3.20.11
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2}}{x} \, dx\) [1911]
3.20.12
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2}}{x^2} \, dx\) [1912]
3.20.13
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2}}{x^3} \, dx\) [1913]
3.20.14
\(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2}}{x^4} \, dx\) [1914]
3.20.15
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}}} \, dx\) [1915]
3.20.16
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}}} \, dx\) [1916]
3.20.17
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}} x} \, dx\) [1917]
3.20.18
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}} x^3} \, dx\) [1918]
3.20.19
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}} x^5} \, dx\) [1919]
3.20.20
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}} x^7} \, dx\) [1920]
3.20.21
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}} x^9} \, dx\) [1921]
3.20.22
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}}} \, dx\) [1922]
3.20.23
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}}} \, dx\) [1923]
3.20.24
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}}} \, dx\) [1924]
3.20.25
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}} x^2} \, dx\) [1925]
3.20.26
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+\genfrac {}{}{}{}{b}{x^2}} x^4} \, dx\) [1926]
3.20.27
\(\int \genfrac {}{}{}{}{1}{\sqrt {-a+\genfrac {}{}{}{}{b}{x^2}} x} \, dx\) [1927]
3.20.28
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+\genfrac {}{}{}{}{b}{x^2}} x^2} \, dx\) [1928]
3.20.29
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-\genfrac {}{}{}{}{b}{x^2}} x^2} \, dx\) [1929]
3.20.30
\(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2}} \, dx\) [1930]
3.20.31
\(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2}} \, dx\) [1931]
3.20.32
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x} \, dx\) [1932]
3.20.33
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x^3} \, dx\) [1933]
3.20.34
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x^5} \, dx\) [1934]
3.20.35
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x^7} \, dx\) [1935]
3.20.36
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x^9} \, dx\) [1936]
3.20.37
\(\int \genfrac {}{}{}{}{x^4}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2}} \, dx\) [1937]
3.20.38
\(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2}} \, dx\) [1938]
3.20.39
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2}} \, dx\) [1939]
3.20.40
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x^2} \, dx\) [1940]
3.20.41
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x^4} \, dx\) [1941]
3.20.42
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x^6} \, dx\) [1942]
3.20.43
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{3/2} x^8} \, dx\) [1943]
3.20.44
\(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2}} \, dx\) [1944]
3.20.45
\(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2}} \, dx\) [1945]
3.20.46
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x} \, dx\) [1946]
3.20.47
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^3} \, dx\) [1947]
3.20.48
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^5} \, dx\) [1948]
3.20.49
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^7} \, dx\) [1949]
3.20.50
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^9} \, dx\) [1950]
3.20.51
\(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2}} \, dx\) [1951]
3.20.52
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2}} \, dx\) [1952]
3.20.53
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^2} \, dx\) [1953]
3.20.54
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^4} \, dx\) [1954]
3.20.55
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^6} \, dx\) [1955]
3.20.56
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^2})^{5/2} x^8} \, dx\) [1956]
3.20.57
\(\int \genfrac {}{}{}{}{\sqrt [3]{1+\genfrac {}{}{}{}{1}{x^2}}}{x^3} \, dx\) [1957]
3.20.58
\(\int \genfrac {}{}{}{}{(1+\genfrac {}{}{}{}{1}{x^2})^{5/3}}{x^3} \, dx\) [1958]
3.20.59
\(\int (1+\genfrac {}{}{}{}{b}{x^2})^{3/2} (c x)^m \, dx\) [1959]
3.20.60
\(\int \sqrt {1+\genfrac {}{}{}{}{b}{x^2}} (c x)^m \, dx\) [1960]
3.20.61
\(\int \genfrac {}{}{}{}{(c x)^m}{\sqrt {1+\genfrac {}{}{}{}{b}{x^2}}} \, dx\) [1961]
3.20.62
\(\int \genfrac {}{}{}{}{(c x)^m}{(1+\genfrac {}{}{}{}{b}{x^2})^{3/2}} \, dx\) [1962]
3.20.63
\(\int (1+\genfrac {}{}{}{}{b}{x^2})^p (c x)^m \, dx\) [1963]
3.20.64
\(\int (a+\genfrac {}{}{}{}{b}{x^2})^p (c x)^m \, dx\) [1964]
3.20.65
\(\int \genfrac {}{}{}{}{x^5}{a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [1965]
3.20.66
\(\int \genfrac {}{}{}{}{x^4}{a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [1966]
3.20.67
\(\int \genfrac {}{}{}{}{x^3}{a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [1967]
3.20.68
\(\int \genfrac {}{}{}{}{x^2}{a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [1968]
3.20.69
\(\int \genfrac {}{}{}{}{x}{a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [1969]
3.20.70
\(\int \genfrac {}{}{}{}{1}{a+\genfrac {}{}{}{}{b}{x^3}} \, dx\) [1970]
3.20.71
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x} \, dx\) [1971]
3.20.72
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x^2} \, dx\) [1972]
3.20.73
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x^3} \, dx\) [1973]
3.20.74
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x^4} \, dx\) [1974]
3.20.75
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x^5} \, dx\) [1975]
3.20.76
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x^6} \, dx\) [1976]
3.20.77
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3}) x^7} \, dx\) [1977]
3.20.78
\(\int \genfrac {}{}{}{}{x^5}{(a+\genfrac {}{}{}{}{b}{x^3})^2} \, dx\) [1978]
3.20.79
\(\int \genfrac {}{}{}{}{x^4}{(a+\genfrac {}{}{}{}{b}{x^3})^2} \, dx\) [1979]
3.20.80
\(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{b}{x^3})^2} \, dx\) [1980]
3.20.81
\(\int \genfrac {}{}{}{}{x^2}{(a+\genfrac {}{}{}{}{b}{x^3})^2} \, dx\) [1981]
3.20.82
\(\int \genfrac {}{}{}{}{x}{(a+\genfrac {}{}{}{}{b}{x^3})^2} \, dx\) [1982]
3.20.83
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2} \, dx\) [1983]
3.20.84
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x} \, dx\) [1984]
3.20.85
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x^2} \, dx\) [1985]
3.20.86
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x^3} \, dx\) [1986]
3.20.87
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x^4} \, dx\) [1987]
3.20.88
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x^5} \, dx\) [1988]
3.20.89
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x^6} \, dx\) [1989]
3.20.90
\(\int \genfrac {}{}{}{}{1}{(a+\genfrac {}{}{}{}{b}{x^3})^2 x^7} \, dx\) [1990]
3.20.91
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^5 \, dx\) [1991]
3.20.92
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^2 \, dx\) [1992]
3.20.93
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x} \, dx\) [1993]
3.20.94
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^4} \, dx\) [1994]
3.20.95
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^7} \, dx\) [1995]
3.20.96
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^{10}} \, dx\) [1996]
3.20.97
\(\int \genfrac {}{}{}{}{\sqrt {a+\genfrac {}{}{}{}{b}{x^3}}}{x^{13}} \, dx\) [1997]
3.20.98
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^7 \, dx\) [1998]
3.20.99
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x^4 \, dx\) [1999]
3.20.100
\(\int \sqrt {a+\genfrac {}{}{}{}{b}{x^3}} x \, dx\) [2000]
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