\(\int \genfrac {}{}{}{}{-1+x}{x \sqrt [3]{1+2 x+2 x^2+x^3}} \, dx\) [1901]
\(\int \genfrac {}{}{}{}{(-2 q+p x^3) (a q+b x^2+a p x^3) \sqrt {q^2+2 p q x^3-2 p q x^4+p^2 x^6}}{x^7} \, dx\) [1902]
\(\int \genfrac {}{}{}{}{x^2}{(1+x^2) \sqrt [10]{243-5265 x+47250 x^2-225810 x^3+615255 x^4-954733 x^5+820340 x^6-401440 x^7+112000 x^8-16640 x^9+1024 x^{10}}} \, dx\) [1903]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {-b x+a^2 x^2} (a x^2+x \sqrt {-b x+a^2 x^2})^{3/2}} \, dx\) [1904]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{(-1+x^2) \sqrt {1+x^4}} \, dx\) [1905]
\(\int \genfrac {}{}{}{}{1}{(1+2 x) \sqrt [3]{-1+4 x+4 x^2}} \, dx\) [1906]
\(\int \genfrac {}{}{}{}{1}{x^3 (-b+a x^3) \sqrt [3]{b^2 x^2+a^3 x^3}} \, dx\) [1907]
\(\int \genfrac {}{}{}{}{1}{x^3 (-b+a x^3) \sqrt [3]{b^2 x^2+a^3 x^3}} \, dx\) [1908]
\(\int \genfrac {}{}{}{}{x^3 (-b+x) (-2 a b+(3 a-b) x)}{(-a+x) (x^2 (-a+x) (-b+x))^{3/4} (-a^3 d+3 a^2 d x+(b-3 a d) x^2+(-1+d) x^3)} \, dx\) [1909]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {-x-x^2+x^3} (-1+x^4)} \, dx\) [1910]
\(\int \genfrac {}{}{}{}{(-1+x^2) \sqrt {1+x^2+x^4}}{(1+x^2) (1+x+x^2+x^3+x^4)} \, dx\) [1911]
\(\int \genfrac {}{}{}{}{x^6}{(-b+a x^4) (b+a x^4)^{3/4}} \, dx\) [1912]
\(\int \genfrac {}{}{}{}{-b+a x^3}{x^3 (b+a x^3) \sqrt [4]{-b x+a x^4}} \, dx\) [1913]
\(\int \genfrac {}{}{}{}{-b+a x^4}{\sqrt [4]{b+a x^4} (-b+3 a x^4)} \, dx\) [1914]
\(\int \genfrac {}{}{}{}{-2 b+a x^2}{\sqrt [4]{-b+a x^2} (-b+a x^2+c x^4)} \, dx\) [1915]
\(\int \genfrac {}{}{}{}{(-q+p x^2) \sqrt {q^2+p^2 x^4}}{x^2 (a q+b x+a p x^2)} \, dx\) [1916]
\(\int \genfrac {}{}{}{}{\sqrt [3]{1+x^5} (-3+2 x^5)}{x^2 (2-x^3+2 x^5)} \, dx\) [1917]
\(\int \genfrac {}{}{}{}{x^2 (4 b+a x^5)}{(-b+a x^5)^{3/4} (-b+c x^4+a x^5)} \, dx\) [1918]
\(\int \genfrac {}{}{}{}{(-1+x^6) (1+x^6)^{2/3}}{x^3 (2-x^3+2 x^6)} \, dx\) [1919]
\(\int \genfrac {}{}{}{}{x^2 (2 b+a x^6)}{(-b+a x^6)^{3/4} (-b+c x^4+a x^6)} \, dx\) [1920]
\(\int x^2 \sqrt {1+x^4} \sqrt {x^2+\sqrt {1+x^4}} \, dx\) [1921]
\(\int \sqrt {1+\sqrt {1+\sqrt {1+x}}} \, dx\) [1922]
\(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2) \sqrt {x+\sqrt {1+x^2}}} \, dx\) [1923]
\(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2) \sqrt {x+\sqrt {1+x^2}}} \, dx\) [1924]
\(\int \genfrac {}{}{}{}{(-2+x^3) (1+x^3)^{2/3}}{x^6 (-1+2 x^3)} \, dx\) [1925]
\(\int \genfrac {}{}{}{}{1}{x^3 (b+a x^3) \sqrt [3]{b^2 x^2+a^3 x^3}} \, dx\) [1926]
\(\int \genfrac {}{}{}{}{1}{x^3 (b+a x^3) \sqrt [3]{b^2 x^2+a^3 x^3}} \, dx\) [1927]
\(\int \genfrac {}{}{}{}{(-1+x+x^4) \sqrt [4]{-x^3+x^4}}{1+x} \, dx\) [1928]
\(\int \genfrac {}{}{}{}{(-3+x^4) (1+x^4)^{2/3}}{x^3 (2+x^3+2 x^4)} \, dx\) [1929]
\(\int \genfrac {}{}{}{}{(-4 b+a x^4) (b+a x^4)^{3/4}}{x^8 (4 b+a x^4)} \, dx\) [1930]
\(\int \genfrac {}{}{}{}{(b+a x^4)^{3/4} (2 b+a x^4)}{x^8 (4 b+a x^4)} \, dx\) [1931]
\(\int \genfrac {}{}{}{}{x^4 \sqrt [4]{b x^3+a x^4}}{b+a x} \, dx\) [1932]
\(\int \genfrac {}{}{}{}{b+a x^2}{(-b+a x^2) \sqrt {b^2+a^2 x^4}} \, dx\) [1933]
\(\int \genfrac {}{}{}{}{(1+x^2) \sqrt {1+\sqrt {1+x^2}}}{-1+x^2} \, dx\) [1934]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{-b+a x^3}} \, dx\) [1935]
\(\int \genfrac {}{}{}{}{(a^2-2 a x+x^2) (-a b-a c+3 b c+2 (a-b-c) x+x^2)}{((-a+x) (-b+x) (-c+x))^{3/4} (-b c-a^3 d+(b+c+3 a^2 d) x-(1+3 a d) x^2+d x^3)} \, dx\) [1936]
\(\int \genfrac {}{}{}{}{(-4+x^5) \sqrt [4]{1-2 x^4+x^5}}{x^2 (1+x^5)} \, dx\) [1937]
\(\int \genfrac {}{}{}{}{b+a x^6}{x^6 \sqrt [3]{x+x^3}} \, dx\) [1938]
\(\int \genfrac {}{}{}{}{b^2+a^2 x^2}{\sqrt {a x+\sqrt {b^2+a^2 x^2}}} \, dx\) [1939]
\(\int \genfrac {}{}{}{}{x^2}{(b+a x^2)^{3/4} (2 b+a x^2)} \, dx\) [1940]
\(\int \genfrac {}{}{}{}{x}{(-b+a x^3)^{2/3}} \, dx\) [1941]
\(\int \genfrac {}{}{}{}{x \sqrt [3]{x^2+x^4}}{1+2 x^2} \, dx\) [1942]
\(\int \genfrac {}{}{}{}{b+a x^3}{x^6 (-b+a x^3) \sqrt [4]{b x+a x^4}} \, dx\) [1943]
\(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt [4]{x^2+x^6}}{1+x^4+x^8} \, dx\) [1944]
\(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt [4]{x^2+x^6}}{1+x^4+x^8} \, dx\) [1945]
\(\int \genfrac {}{}{}{}{x \sqrt {a x+\sqrt {-b+a x}}}{\sqrt {-b+a x}} \, dx\) [1946]
\(\int \genfrac {}{}{}{}{(-1+a x) \sqrt {a x+\sqrt {-b+a x}}}{\sqrt {-b+a x}} \, dx\) [1947]
\(\int \genfrac {}{}{}{}{-1+x^4}{(1+x^4) \sqrt {x+\sqrt {1+x^2}}} \, dx\) [1948]
\(\int \genfrac {}{}{}{}{-1+x^4}{(1+x^4) \sqrt {x+\sqrt {1+x^2}}} \, dx\) [1949]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{-x^2+x^4} (-1+x^8)} \, dx\) [1950]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{-x^2+x^4} (-1+x^8)} \, dx\) [1951]
\(\int \genfrac {}{}{}{}{-2+x^4}{\sqrt [4]{1+x^4} (-1-x^4+2 x^8)} \, dx\) [1952]
\(\int \genfrac {}{}{}{}{\sqrt {b+\sqrt {b^2+a x^2}}}{(b^2+a x^2)^{5/2}} \, dx\) [1953]
\(\int \genfrac {}{}{}{}{\sqrt [4]{-b+a x^2}}{x} \, dx\) [1954]
\(\int \genfrac {}{}{}{}{(b+a x^2) \sqrt [3]{-x+x^3}}{x^2} \, dx\) [1955]
\(\int \genfrac {}{}{}{}{-b+a x}{x \sqrt [3]{b^3+a^3 x^3}} \, dx\) [1956]
\(\int \genfrac {}{}{}{}{x^2 \sqrt [4]{-x^3+x^4}}{2+x} \, dx\) [1957]
\(\int \genfrac {}{}{}{}{(-1+x) (-3+8 x-8 x^2+12 x^4)}{x (\genfrac {}{}{}{}{1-2 x^2}{1+2 x^2})^{2/3} (1+2 x^2) (3-7 x+7 x^2-6 x^3+2 x^4)} \, dx\) [1958]
\(\int \genfrac {}{}{}{}{b-a x^5}{\sqrt {a+b x} (a b+x^5)} \, dx\) [1959]
\(\int \genfrac {}{}{}{}{(-1+x^3)^{2/3} (1+x^3+x^6)}{x^6 (-1+x^6)} \, dx\) [1960]
\(\int \genfrac {}{}{}{}{-1+x^2}{\sqrt {1+x} (1+x^2) \sqrt {1+\sqrt {1+x}} \sqrt {1+\sqrt {1+\sqrt {1+x}}}} \, dx\) [1961]
\(\int \genfrac {}{}{}{}{-1+x^2}{\sqrt {1+x} (1+x^2) \sqrt {1+\sqrt {1+x}} \sqrt {1+\sqrt {1+\sqrt {1+x}}}} \, dx\) [1962]
\(\int \genfrac {}{}{}{}{x}{(x^2 (-a+x))^{2/3} (-a d+(-1+d) x)} \, dx\) [1963]
\(\int \genfrac {}{}{}{}{(-b+a x^2)^{3/4}}{x} \, dx\) [1964]
\(\int \genfrac {}{}{}{}{-2 x+x^2}{(1-x+x^2) \sqrt [4]{1+x^4}} \, dx\) [1965]
\(\int \genfrac {}{}{}{}{1+k^4 x^4}{\sqrt {(1-x) x (1-k^2 x)} (-1+k^4 x^4)} \, dx\) [1966]
\(\int \genfrac {}{}{}{}{-b+a x^8}{\sqrt [4]{-b x^2+a x^4} (b+a x^8)} \, dx\) [1967]
\(\int \genfrac {}{}{}{}{-b+a x^8}{\sqrt [4]{-b x^2+a x^4} (b+a x^8)} \, dx\) [1968]
\(\int \genfrac {}{}{}{}{(-1+x^8) (1+x^8)}{\sqrt [4]{-1-x^4+x^8} (1-3 x^8+x^{16})} \, dx\) [1969]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{x^2 (-a+x)} (-a d+(-1+d) x)} \, dx\) [1970]
\(\int \genfrac {}{}{}{}{\sqrt [3]{6+2 x+x^2}}{1+x} \, dx\) [1971]
\(\int \genfrac {}{}{}{}{-1+x}{x \sqrt [3]{-1+x^3}} \, dx\) [1972]
\(\int \genfrac {}{}{}{}{(-1+x^3)^{2/3} (1+x^3)}{x^6 (-2+x^3)} \, dx\) [1973]
\(\int \genfrac {}{}{}{}{(-4+x^2) \sqrt [3]{x+x^3}}{x^4 (2+x^2)} \, dx\) [1974]
\(\int \genfrac {}{}{}{}{2+x^2}{(1+x^2) \sqrt [3]{-x^2+x^3}} \, dx\) [1975]
\(\int \genfrac {}{}{}{}{x}{(b+a x^2) \sqrt {-b x+a x^3}} \, dx\) [1976]
\(\int \genfrac {}{}{}{}{-b+a x^2}{(b+a x^2) \sqrt {-b x+a x^3}} \, dx\) [1977]
\(\int \genfrac {}{}{}{}{\sqrt {-b x+a x^3}}{-b^2+a^2 x^4} \, dx\) [1978]
\(\int \genfrac {}{}{}{}{(1+x^5)^{2/3} (-3+2 x^5) (2+x^3+2 x^5)}{x^6 (2-x^3+2 x^5)} \, dx\) [1979]
\(\int \genfrac {}{}{}{}{b+a x^6}{(-b+a x^6) \sqrt [3]{-b+a^3 x^3+a x^6}} \, dx\) [1980]
\(\int \genfrac {}{}{}{}{(1+x^2) (1+x^8) \sqrt {1+x^2+x^4+x^6+x^8}}{x^7 (-1+x^2)} \, dx\) [1981]
\(\int \genfrac {}{}{}{}{b+a x^8}{\sqrt [4]{-b x^2+a x^4} (-b+a x^8)} \, dx\) [1982]
\(\int \genfrac {}{}{}{}{b+a x^8}{\sqrt [4]{-b x^2+a x^4} (-b+a x^8)} \, dx\) [1983]
\(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt {x+\sqrt {1+x^2}}}{1+x^4} \, dx\) [1984]
\(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt {x+\sqrt {1+x^2}}}{1+x^4} \, dx\) [1985]
\(\int \genfrac {}{}{}{}{x^2 \sqrt {x+x^2}}{\sqrt {x^2+x \sqrt {x+x^2}}} \, dx\) [1986]
\(\int \genfrac {}{}{}{}{1}{(d+c x^2) \sqrt {a x+\sqrt {b^2+a^2 x^2}}} \, dx\) [1987]
\(\int \genfrac {}{}{}{}{1}{(d+c x^2) \sqrt {a x+\sqrt {b^2+a^2 x^2}}} \, dx\) [1988]
\(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2) \sqrt {1+x^2}} \, dx\) [1989]
\(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1-x^2) \sqrt {1+x^2}} \, dx\) [1990]
\(\int \genfrac {}{}{}{}{\sqrt {b+a^2 x^2}}{x^2-\sqrt [3]{a x-\sqrt {b+a^2 x^2}}} \, dx\) [1991]
\(\int \genfrac {}{}{}{}{\sqrt {b+a^2 x^2}}{x^2-\sqrt {a x-\sqrt {b+a^2 x^2}}} \, dx\) [1992]
\(\int \genfrac {}{}{}{}{\sqrt [3]{-6-2 x+x^2}}{-1+x} \, dx\) [1993]
\(\int \genfrac {}{}{}{}{-1+x}{\sqrt [3]{1-x-x^2+x^3}} \, dx\) [1994]
\(\int \genfrac {}{}{}{}{x}{\sqrt [3]{-1-x+x^2+x^3}} \, dx\) [1995]
\(\int \genfrac {}{}{}{}{(3+2 x) (1+x+3 x^3)^{2/3}}{x^3 (1+x+x^3)} \, dx\) [1996]
\(\int \genfrac {}{}{}{}{x^2 (-3 a b^3+2 b^2 (3 a+b) x-3 b (a+b) x^2+x^4)}{(x (-a+x) (-b+x)^3)^{3/4} (a b^3-b^2 (3 a+b) x+3 b (a+b) x^2-(a+3 b+d) x^3+x^4)} \, dx\) [1997]
\(\int \genfrac {}{}{}{}{x^6}{(-b+a x^4)^{3/4} (b+a x^4)} \, dx\) [1998]
\(\int \genfrac {}{}{}{}{-b+2 a x^2}{(-b+a x^2) \sqrt [4]{b x^2+a x^4}} \, dx\) [1999]
\(\int \genfrac {}{}{}{}{-3 b+2 a x^4}{(-2 b+a x^4) \sqrt [4]{b+a x^4}} \, dx\) [2000]