3.20 Integrals 1901 to 2000

3.20.1 \(\int \genfrac {}{}{}{}{(d+e x)^5}{(a d e+(c d^2+a e^2) x+c d e x^2)^4} \, dx\) [1901]
3.20.2 \(\int \genfrac {}{}{}{}{(d+e x)^4}{(a d e+(c d^2+a e^2) x+c d e x^2)^4} \, dx\) [1902]
3.20.3 \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a d e+(c d^2+a e^2) x+c d e x^2)^4} \, dx\) [1903]
3.20.4 \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a d e+(c d^2+a e^2) x+c d e x^2)^4} \, dx\) [1904]
3.20.5 \(\int \genfrac {}{}{}{}{d+e x}{(a d e+(c d^2+a e^2) x+c d e x^2)^4} \, dx\) [1905]
3.20.6 \(\int \genfrac {}{}{}{}{1}{(a d e+(c d^2+a e^2) x+c d e x^2)^4} \, dx\) [1906]
3.20.7 \(\int (d+e x)^4 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [1907]
3.20.8 \(\int (d+e x)^3 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [1908]
3.20.9 \(\int (d+e x)^2 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [1909]
3.20.10 \(\int (d+e x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [1910]
3.20.11 \(\int \sqrt {a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [1911]
3.20.12 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{d+e x} \, dx\) [1912]
3.20.13 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{(d+e x)^2} \, dx\) [1913]
3.20.14 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{(d+e x)^3} \, dx\) [1914]
3.20.15 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{(d+e x)^4} \, dx\) [1915]
3.20.16 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{(d+e x)^5} \, dx\) [1916]
3.20.17 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{(d+e x)^6} \, dx\) [1917]
3.20.18 \(\int (d+e x)^4 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2} \, dx\) [1918]
3.20.19 \(\int (d+e x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2} \, dx\) [1919]
3.20.20 \(\int (d+e x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2} \, dx\) [1920]
3.20.21 \(\int (d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2} \, dx\) [1921]
3.20.22 \(\int (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2} \, dx\) [1922]
3.20.23 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{d+e x} \, dx\) [1923]
3.20.24 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^2} \, dx\) [1924]
3.20.25 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^3} \, dx\) [1925]
3.20.26 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^4} \, dx\) [1926]
3.20.27 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^5} \, dx\) [1927]
3.20.28 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^6} \, dx\) [1928]
3.20.29 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^7} \, dx\) [1929]
3.20.30 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^8} \, dx\) [1930]
3.20.31 \(\int (d+e x)^4 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2} \, dx\) [1931]
3.20.32 \(\int (d+e x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2} \, dx\) [1932]
3.20.33 \(\int (d+e x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2} \, dx\) [1933]
3.20.34 \(\int (d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2} \, dx\) [1934]
3.20.35 \(\int (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2} \, dx\) [1935]
3.20.36 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{d+e x} \, dx\) [1936]
3.20.37 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^2} \, dx\) [1937]
3.20.38 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^3} \, dx\) [1938]
3.20.39 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^4} \, dx\) [1939]
3.20.40 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^5} \, dx\) [1940]
3.20.41 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^6} \, dx\) [1941]
3.20.42 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^7} \, dx\) [1942]
3.20.43 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^8} \, dx\) [1943]
3.20.44 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^9} \, dx\) [1944]
3.20.45 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{10}} \, dx\) [1945]
3.20.46 \(\int \genfrac {}{}{}{}{(d+e x)^3}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [1946]
3.20.47 \(\int \genfrac {}{}{}{}{(d+e x)^2}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [1947]
3.20.48 \(\int \genfrac {}{}{}{}{d+e x}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [1948]
3.20.49 \(\int \genfrac {}{}{}{}{1}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [1949]
3.20.50 \(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [1950]
3.20.51 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [1951]
3.20.52 \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [1952]
3.20.53 \(\int \genfrac {}{}{}{}{1}{(d+e x)^4 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [1953]
3.20.54 \(\int \genfrac {}{}{}{}{(d+e x)^5}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [1954]
3.20.55 \(\int \genfrac {}{}{}{}{(d+e x)^4}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [1955]
3.20.56 \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [1956]
3.20.57 \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [1957]
3.20.58 \(\int \genfrac {}{}{}{}{d+e x}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [1958]
3.20.59 \(\int \genfrac {}{}{}{}{1}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [1959]
3.20.60 \(\int \genfrac {}{}{}{}{1}{(d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [1960]
3.20.61 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [1961]
3.20.62 \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [1962]
3.20.63 \(\int \genfrac {}{}{}{}{1}{(d+e x)^4 (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [1963]
3.20.64 \(\int \genfrac {}{}{}{}{(d+e x)^6}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [1964]
3.20.65 \(\int \genfrac {}{}{}{}{(d+e x)^5}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [1965]
3.20.66 \(\int \genfrac {}{}{}{}{(d+e x)^4}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [1966]
3.20.67 \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [1967]
3.20.68 \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [1968]
3.20.69 \(\int \genfrac {}{}{}{}{d+e x}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [1969]
3.20.70 \(\int \genfrac {}{}{}{}{1}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [1970]
3.20.71 \(\int \genfrac {}{}{}{}{1}{(d+e x) (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [1971]
3.20.72 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [1972]
3.20.73 \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [1973]
3.20.74 \(\int \genfrac {}{}{}{}{d+e x}{\sqrt [3]{a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [1974]
3.20.75 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [1975]
3.20.76 \(\int (d+e x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2) \, dx\) [1976]
3.20.77 \(\int \sqrt {d+e x} (a d e+(c d^2+a e^2) x+c d e x^2) \, dx\) [1977]
3.20.78 \(\int \genfrac {}{}{}{}{a d e+(c d^2+a e^2) x+c d e x^2}{\sqrt {d+e x}} \, dx\) [1978]
3.20.79 \(\int \genfrac {}{}{}{}{a d e+(c d^2+a e^2) x+c d e x^2}{(d+e x)^{3/2}} \, dx\) [1979]
3.20.80 \(\int \genfrac {}{}{}{}{a d e+(c d^2+a e^2) x+c d e x^2}{(d+e x)^{5/2}} \, dx\) [1980]
3.20.81 \(\int \genfrac {}{}{}{}{a d e+(c d^2+a e^2) x+c d e x^2}{(d+e x)^{7/2}} \, dx\) [1981]
3.20.82 \(\int \genfrac {}{}{}{}{a d e+(c d^2+a e^2) x+c d e x^2}{(d+e x)^{9/2}} \, dx\) [1982]
3.20.83 \(\int \genfrac {}{}{}{}{a d e+(c d^2+a e^2) x+c d e x^2}{(d+e x)^{11/2}} \, dx\) [1983]
3.20.84 \(\int \sqrt {d+e x} (a d e+(c d^2+a e^2) x+c d e x^2)^2 \, dx\) [1984]
3.20.85 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^2}{\sqrt {d+e x}} \, dx\) [1985]
3.20.86 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^2}{(d+e x)^{3/2}} \, dx\) [1986]
3.20.87 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^2}{(d+e x)^{5/2}} \, dx\) [1987]
3.20.88 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^2}{(d+e x)^{7/2}} \, dx\) [1988]
3.20.89 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^2}{(d+e x)^{9/2}} \, dx\) [1989]
3.20.90 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^2}{(d+e x)^{11/2}} \, dx\) [1990]
3.20.91 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^2}{(d+e x)^{13/2}} \, dx\) [1991]
3.20.92 \(\int \sqrt {d+e x} (a d e+(c d^2+a e^2) x+c d e x^2)^3 \, dx\) [1992]
3.20.93 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^3}{\sqrt {d+e x}} \, dx\) [1993]
3.20.94 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^3}{(d+e x)^{3/2}} \, dx\) [1994]
3.20.95 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^3}{(d+e x)^{5/2}} \, dx\) [1995]
3.20.96 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^3}{(d+e x)^{7/2}} \, dx\) [1996]
3.20.97 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^3}{(d+e x)^{9/2}} \, dx\) [1997]
3.20.98 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^3}{(d+e x)^{11/2}} \, dx\) [1998]
3.20.99 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^3}{(d+e x)^{13/2}} \, dx\) [1999]
3.20.100 \(\int \genfrac {}{}{}{}{(d+e x)^{9/2}}{a d e+(c d^2+a e^2) x+c d e x^2} \, dx\) [2000]