3.20.1 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)}{d+e x} \, dx\) [1901]
  3.20.2 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)}{(d+e x)^2} \, dx\) [1902]
  3.20.3 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)}{(d+e x)^3} \, dx\) [1903]
  3.20.4 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)}{(d+e x)^4} \, dx\) [1904]
  3.20.5 \(\int (a+b x) (d+e x)^6 (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1905]
  3.20.6 \(\int (a+b x) (d+e x)^5 (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1906]
  3.20.7 \(\int (a+b x) (d+e x)^4 (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1907]
  3.20.8 \(\int (a+b x) (d+e x)^3 (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1908]
  3.20.9 \(\int (a+b x) (d+e x)^2 (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1909]
  3.20.10 \(\int (a+b x) (d+e x) (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1910]
  3.20.11 \(\int (a+b x) (a^2+2 a b x+b^2 x^2)^2 \, dx\) [1911]
  3.20.12 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^2}{d+e x} \, dx\) [1912]
  3.20.13 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^2}{(d+e x)^2} \, dx\) [1913]
  3.20.14 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^2}{(d+e x)^3} \, dx\) [1914]
  3.20.15 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^2}{(d+e x)^4} \, dx\) [1915]
  3.20.16 \(\int (a+b x) (d+e x)^6 (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1916]
  3.20.17 \(\int (a+b x) (d+e x)^5 (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1917]
  3.20.18 \(\int (a+b x) (d+e x)^4 (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1918]
  3.20.19 \(\int (a+b x) (d+e x)^3 (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1919]
  3.20.20 \(\int (a+b x) (d+e x)^2 (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1920]
  3.20.21 \(\int (a+b x) (d+e x) (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1921]
  3.20.22 \(\int (a+b x) (a^2+2 a b x+b^2 x^2)^3 \, dx\) [1922]
  3.20.23 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^3}{d+e x} \, dx\) [1923]
  3.20.24 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^3}{(d+e x)^2} \, dx\) [1924]
  3.20.25 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^3}{(d+e x)^3} \, dx\) [1925]
  3.20.26 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^3}{(d+e x)^4} \, dx\) [1926]
  3.20.27 \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^4}{a^2+2 a b x+b^2 x^2} \, dx\) [1927]
  3.20.28 \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^3}{a^2+2 a b x+b^2 x^2} \, dx\) [1928]
  3.20.29 \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^2}{a^2+2 a b x+b^2 x^2} \, dx\) [1929]
  3.20.30 \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)}{a^2+2 a b x+b^2 x^2} \, dx\) [1930]
  3.20.31 \(\int \genfrac {}{}{}{}{a+b x}{a^2+2 a b x+b^2 x^2} \, dx\) [1931]
  3.20.32 \(\int \genfrac {}{}{}{}{a+b x}{(d+e x) (a^2+2 a b x+b^2 x^2)} \, dx\) [1932]
  3.20.33 \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)} \, dx\) [1933]
  3.20.34 \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)} \, dx\) [1934]
  3.20.35 \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^4 (a^2+2 a b x+b^2 x^2)} \, dx\) [1935]
  3.20.36 \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^4}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1936]
  3.20.37 \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^3}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1937]
  3.20.38 \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^2}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1938]
  3.20.39 \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1939]
  3.20.40 \(\int \genfrac {}{}{}{}{a+b x}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1940]
  3.20.41 \(\int \genfrac {}{}{}{}{a+b x}{(d+e x) (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1941]
  3.20.42 \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1942]
  3.20.43 \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1943]
  3.20.44 \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^4 (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1944]
  3.20.45 \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^4}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1945]
  3.20.46 \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^3}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1946]
  3.20.47 \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^2}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1947]
  3.20.48 \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1948]
  3.20.49 \(\int \genfrac {}{}{}{}{a+b x}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1949]
  3.20.50 \(\int \genfrac {}{}{}{}{a+b x}{(d+e x) (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1950]
  3.20.51 \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1951]
  3.20.52 \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1952]
  3.20.53 \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^4 (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1953]
  3.20.54 \(\int (a+b x) (d+e x)^5 \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1954]
  3.20.55 \(\int (a+b x) (d+e x)^4 \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1955]
  3.20.56 \(\int (a+b x) (d+e x)^3 \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1956]
  3.20.57 \(\int (a+b x) (d+e x)^2 \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1957]
  3.20.58 \(\int (a+b x) (d+e x) \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1958]
  3.20.59 \(\int (a+b x) \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1959]
  3.20.60 \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{d+e x} \, dx\) [1960]
  3.20.61 \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^2} \, dx\) [1961]
  3.20.62 \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^3} \, dx\) [1962]
  3.20.63 \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^4} \, dx\) [1963]
  3.20.64 \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^5} \, dx\) [1964]
  3.20.65 \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^6} \, dx\) [1965]
  3.20.66 \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^7} \, dx\) [1966]
  3.20.67 \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^8} \, dx\) [1967]
  3.20.68 \(\int (a+b x) (d+e x)^7 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1968]
  3.20.69 \(\int (a+b x) (d+e x)^6 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1969]
  3.20.70 \(\int (a+b x) (d+e x)^5 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1970]
  3.20.71 \(\int (a+b x) (d+e x)^4 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1971]
  3.20.72 \(\int (a+b x) (d+e x)^3 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1972]
  3.20.73 \(\int (a+b x) (d+e x)^2 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1973]
  3.20.74 \(\int (a+b x) (d+e x) (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1974]
  3.20.75 \(\int (a+b x) (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1975]
  3.20.76 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{d+e x} \, dx\) [1976]
  3.20.77 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^2} \, dx\) [1977]
  3.20.78 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^3} \, dx\) [1978]
  3.20.79 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^4} \, dx\) [1979]
  3.20.80 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^5} \, dx\) [1980]
  3.20.81 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^6} \, dx\) [1981]
  3.20.82 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^7} \, dx\) [1982]
  3.20.83 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^8} \, dx\) [1983]
  3.20.84 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^9} \, dx\) [1984]
  3.20.85 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{10}} \, dx\) [1985]
  3.20.86 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{11}} \, dx\) [1986]
  3.20.87 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{12}} \, dx\) [1987]
  3.20.88 \(\int (a+b x) (d+e x)^9 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1988]
  3.20.89 \(\int (a+b x) (d+e x)^8 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1989]
  3.20.90 \(\int (a+b x) (d+e x)^7 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1990]
  3.20.91 \(\int (a+b x) (d+e x)^6 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1991]
  3.20.92 \(\int (a+b x) (d+e x)^5 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1992]
  3.20.93 \(\int (a+b x) (d+e x)^4 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1993]
  3.20.94 \(\int (a+b x) (d+e x)^3 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1994]
  3.20.95 \(\int (a+b x) (d+e x)^2 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1995]
  3.20.96 \(\int (a+b x) (d+e x) (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1996]
  3.20.97 \(\int (a+b x) (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1997]
  3.20.98 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{d+e x} \, dx\) [1998]
  3.20.99 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^2} \, dx\) [1999]
  3.20.100 \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^3} \, dx\) [2000]