\(\int \genfrac {}{}{}{}{-3+2 x}{\sqrt [4]{-x+x^2} (1-x+x^3)} \, dx\) [501]
\(\int \genfrac {}{}{}{}{(-1+x^2) \sqrt {x+x^3}}{(1+x^2) (1+x+x^2)^2} \, dx\) [502]
\(\int \genfrac {}{}{}{}{(-2+x^3) \sqrt {2+x^2+2 x^3}}{(1+x^3) (1+x^2+x^3)} \, dx\) [503]
\(\int \genfrac {}{}{}{}{b+a x^2}{(-b+c x+a x^2) \sqrt {-b x+a x^3}} \, dx\) [504]
\(\int x \sqrt {-1+x^4} \, dx\) [505]
\(\int \genfrac {}{}{}{}{\sqrt {-x+x^4}}{x^3} \, dx\) [506]
\(\int x^3 \sqrt {x+x^4} \, dx\) [507]
\(\int \genfrac {}{}{}{}{1+x}{\sqrt {16+18 x+13 x^2+4 x^3+x^4}} \, dx\) [508]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^5} (2+3 x^5)}{x^2 (-1-a x^2+x^5)} \, dx\) [509]
\(\int x \sqrt {-x+x^6} \, dx\) [510]
\(\int \genfrac {}{}{}{}{(1+x^5) (-1+4 x^5)}{x (1-a x+x^5) \sqrt {x+x^6}} \, dx\) [511]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x-\sqrt {-1+x^2}}} \, dx\) [512]
\(\int \genfrac {}{}{}{}{1+x^2}{(-1+2 x+x^2) \sqrt {-x-x^2+x^3}} \, dx\) [513]
\(\int \genfrac {}{}{}{}{(2+x^3) \sqrt {-1+x^2+x^3}}{(-1+x^3)^2} \, dx\) [514]
\(\int \genfrac {}{}{}{}{2+x^2}{(-2+x^2) \sqrt {-2 x+2 x^2+x^3}} \, dx\) [515]
\(\int \genfrac {}{}{}{}{2+x}{(-1+x) \sqrt {-1+3 x+a x^2+x^3}} \, dx\) [516]
\(\int \genfrac {}{}{}{}{-2+x}{(1+x) \sqrt {1+3 x+a x^2+x^3}} \, dx\) [517]
\(\int \genfrac {}{}{}{}{x (3 a b-2 (a+b) x+x^2)}{\sqrt {x (-a+x) (-b+x)} (-a b d+(a+b) d x-d x^2+x^3)} \, dx\) [518]
\(\int \genfrac {}{}{}{}{3 a b x-2 (a+b) x^2+x^3}{\sqrt {x (-a+x) (-b+x)} (-a b+(a+b) x-x^2+d x^3)} \, dx\) [519]
\(\int \genfrac {}{}{}{}{(-1+x^2) \sqrt {1+2 x^2+x^4}}{(1+x^2) (1+x^4)} \, dx\) [520]
\(\int \genfrac {}{}{}{}{-1+x}{\sqrt {-7+4 x+14 x^2-12 x^3+x^4}} \, dx\) [521]
\(\int \genfrac {}{}{}{}{1-2 k^2 x^2+k^2 x^4}{x^2 \sqrt {(1-x^2) (1-k^2 x^2)} (-1+k^2 x^2)} \, dx\) [522]
\(\int \genfrac {}{}{}{}{-2+x^6}{x \sqrt {-1+x^6} (2+x^6)} \, dx\) [523]
\(\int \genfrac {}{}{}{}{(2+x^3) (1+x^3+x^6)}{x \sqrt {1+x^3}} \, dx\) [524]
\(\int \genfrac {}{}{}{}{4 x+3 x^2}{\sqrt {-5+4 x^2+2 x^3+4 x^4+4 x^5+x^6}} \, dx\) [525]
\(\int \genfrac {}{}{}{}{x^2 \sqrt {q+p x^5} (-2 q+3 p x^5)}{b x^6+a (q+p x^5)^3} \, dx\) [526]
\(\int \genfrac {}{}{}{}{x^8}{\sqrt {-b+a x^3}} \, dx\) [527]
\(\int x^5 \sqrt {-b+a x^3} \, dx\) [528]
\(\int \genfrac {}{}{}{}{2 b+a x^3}{\sqrt {-b+a x^3} (-2 b-3 x^2+2 a x^3)} \, dx\) [529]
\(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt {1+x^4} (1+x^2+x^4)}{x^4 (1-x^2+x^4)} \, dx\) [530]
\(\int \genfrac {}{}{}{}{4 c+3 b x+2 a x^2}{\sqrt [4]{c+b x+a x^2} (-c-b x-a x^2+x^4)} \, dx\) [531]
\(\int \genfrac {}{}{}{}{(2+x^3) (1+x^3+x^6)}{x^4 \sqrt {1+x^3}} \, dx\) [532]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^3} (-2+x^3+2 x^6)}{x^{10}} \, dx\) [533]
\(\int \genfrac {}{}{}{}{-4+13 x^6}{x \sqrt {-1+x^6} (-1+4 x^6)} \, dx\) [534]
\(\int \genfrac {}{}{}{}{-b+2 a x^3}{(b-x+a x^3) \sqrt [4]{b x^3+a x^6}} \, dx\) [535]
\(\int \genfrac {}{}{}{}{x^3 (b+2 a x^5)}{\sqrt [4]{b x+a x^6} (-1+b x^5+a x^{10})} \, dx\) [536]
\(\int \genfrac {}{}{}{}{\sqrt [4]{1+x^3}}{x} \, dx\) [537]
\(\int \genfrac {}{}{}{}{-2 a q+3 b p x^2+a p x^3}{\sqrt {q+p x^3} (b^2 c+d q+2 a b c x+a^2 c x^2+d p x^3)} \, dx\) [538]
\(\int \genfrac {}{}{}{}{(-1+x^3) \sqrt {-1+x^6}}{x^7 (1+x^3)} \, dx\) [539]
\(\int \genfrac {}{}{}{}{(1+x^3) \sqrt {-1+x^6}}{x^7 (-1+x^3)} \, dx\) [540]
\(\int \genfrac {}{}{}{}{\sqrt [4]{1+x^6}}{x} \, dx\) [541]
\(\int \genfrac {}{}{}{}{1+x^{12}}{x^4 \sqrt {-1+x^6}} \, dx\) [542]
\(\int \genfrac {}{}{}{}{1}{x^{10} \sqrt {1+x^3}} \, dx\) [543]
\(\int \genfrac {}{}{}{}{-1+x^3}{x^6 \sqrt [3]{x^2+x^3}} \, dx\) [544]
\(\int \genfrac {}{}{}{}{(-2+x^3) \sqrt {1+x^3} (2+x^2+2 x^3)}{x^4 (1+x^2+x^3)} \, dx\) [545]
\(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt {1+x^2+x^4}}{(1+x^4) (1-x^2+x^4)} \, dx\) [546]
\(\int \genfrac {}{}{}{}{\sqrt {1+x+x^2+x^4} (-2-x+2 x^4)}{(1+x+x^4)^2} \, dx\) [547]
\(\int \genfrac {}{}{}{}{(-1+x^4) (1+3 x^4)}{x (-1-a x+x^4) \sqrt {-x+x^5}} \, dx\) [548]
\(\int \genfrac {}{}{}{}{1}{x^{19} \sqrt {-1+x^6}} \, dx\) [549]
\(\int \genfrac {}{}{}{}{x^{14}}{\sqrt {-1+x^6}} \, dx\) [550]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^6}}{x^{19}} \, dx\) [551]
\(\int x^8 \sqrt {-1+x^6} \, dx\) [552]
\(\int \genfrac {}{}{}{}{-1+x^6}{\sqrt {1+x^4} (1+x^6)} \, dx\) [553]
\(\int \genfrac {}{}{}{}{x^{14}}{\sqrt {1+x^6}} \, dx\) [554]
\(\int \genfrac {}{}{}{}{-1+x^6}{x^{19} \sqrt {1+x^6}} \, dx\) [555]
\(\int \genfrac {}{}{}{}{1+x^6}{\sqrt {1+x^4} (1-x^6)} \, dx\) [556]
\(\int \genfrac {}{}{}{}{1+x^6}{\sqrt {1+x^4} (-1+x^6)} \, dx\) [557]
\(\int \genfrac {}{}{}{}{(-1+x^5) (1+4 x^5)}{x (-1-a x+x^5) \sqrt {-x+x^6}} \, dx\) [558]
\(\int \genfrac {}{}{}{}{(2+x^3) (1+x^3+x^6)}{x^7 \sqrt {1+x^3}} \, dx\) [559]
\(\int \genfrac {}{}{}{}{-x+4 x^6}{(1+x^5) (a-x+a x^5) \sqrt {x+x^6}} \, dx\) [560]
\(\int \genfrac {}{}{}{}{2+x^3+x^6}{x \sqrt [4]{1+x^6} (-4+5 x^3-4 x^6+x^9)} \, dx\) [561]
\(\int \sqrt [5]{243-5265 x+47250 x^2-225810 x^3+615255 x^4-954733 x^5+820340 x^6-401440 x^7+112000 x^8-16640 x^9+1024 x^{10}} \, dx\) [562]
\(\int \genfrac {}{}{}{}{-b x^3+2 a x^8}{\sqrt [4]{-b x+a x^6} (-1-b x^5+a x^{10})} \, dx\) [563]
\(\int \genfrac {}{}{}{}{x^5 (-7 b+10 a x^3)}{\sqrt [4]{-b x^3+a x^6} (-1-b x^7+a x^{10})} \, dx\) [564]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {-\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}} \sqrt {a x^2+b x \sqrt {-\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}}}} \, dx\) [565]
\(\int \genfrac {}{}{}{}{a b-2 a x+x^2}{\sqrt {x (-a+x) (-b+x)} (a d-(b+d) x+x^2)} \, dx\) [566]
\(\int \genfrac {}{}{}{}{a b-2 a x+x^2}{\sqrt {x (-a+x) (-b+x)} (a-(1+b d) x+d x^2)} \, dx\) [567]
\(\int \genfrac {}{}{}{}{(-2+x^3) \sqrt {1-x^2+x^3}}{(1+x^3)^2} \, dx\) [568]
\(\int \genfrac {}{}{}{}{a^2 b-a (2 a-b) x-(-a+2 b) x^2+x^3}{\sqrt {x (-a+x) (-b+x)} (-a^3+(3 a^2+b d) x-(3 a+d) x^2+x^3)} \, dx\) [569]
\(\int \genfrac {}{}{}{}{a^2 b-a (2 a-b) x-(-a+2 b) x^2+x^3}{\sqrt {x (-a+x) (-b+x)} (-a^3 d+(b+3 a^2 d) x-(1+3 a d) x^2+d x^3)} \, dx\) [570]
\(\int \genfrac {}{}{}{}{-3 x+2 x^2}{(-2+2 x+x^3) \sqrt {-2 x+2 x^2+3 x^4}} \, dx\) [571]
\(\int \genfrac {}{}{}{}{4 a q x-3 b p x^2+a p x^4}{\sqrt {q+p x^3} (b^2 c+d q+2 a b c x^2+d p x^3+a^2 c x^4)} \, dx\) [572]
\(\int \genfrac {}{}{}{}{1+x^{12}}{x^{10} \sqrt {-1+x^6}} \, dx\) [573]
\(\int \genfrac {}{}{}{}{-1+x^2}{(1+x^2) \sqrt [10]{1+5 x^4+10 x^8+10 x^{12}+5 x^{16}+x^{20}}} \, dx\) [574]
\(\int \genfrac {}{}{}{}{\sqrt {b+\sqrt {b^2+a x^2}}}{b^2+a x^2} \, dx\) [575]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\) [576]
\(\int \genfrac {}{}{}{}{1}{x^3 (1+x^2)^{3/4}} \, dx\) [577]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt [4]{1+x^3}} \, dx\) [578]
\(\int \genfrac {}{}{}{}{\sqrt [4]{1+x^3}}{x^4} \, dx\) [579]
\(\int x^3 \sqrt {-x+x^4} \, dx\) [580]
\(\int \genfrac {}{}{}{}{(1+x^4) (-1+3 x^4)}{x (1-a x+x^4) \sqrt {x+x^5}} \, dx\) [581]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2+x^5} (-2+3 x^5)}{(1+x^5) (1-x^2+x^5)} \, dx\) [582]
\(\int \genfrac {}{}{}{}{\sqrt [4]{1+x^6}}{x^7} \, dx\) [583]
\(\int \genfrac {}{}{}{}{(-1+x)^2 (-10-8 x+5 x^2+5 x^3)}{(\genfrac {}{}{}{}{1+x}{-2+x^2})^{3/4} (-2+x^2) (-3+7 x-11 x^2+4 x^3+4 x^4-4 x^5+x^6)} \, dx\) [584]
\(\int \genfrac {}{}{}{}{x^2 (10 b+9 a x)}{\sqrt [4]{b x^2+a x^3} (-b-a x+x^{10})} \, dx\) [585]
\(\int \genfrac {}{}{}{}{-1+x^{16}}{\sqrt {1+x^4} (1+x^{16})} \, dx\) [586]
\(\int \genfrac {}{}{}{}{-1+x^{16}}{\sqrt {-1+x^4} (1-x^8+x^{16})} \, dx\) [587]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+x \sqrt {-1+x^2}}}{x \sqrt {-1+x^2}} \, dx\) [588]
\(\int x^6 \sqrt {x+x^4} \, dx\) [589]
\(\int \genfrac {}{}{}{}{(-1+x) (1+x)^3}{(1+x^2)^2 \sqrt {1+x^2+x^4}} \, dx\) [590]
\(\int \genfrac {}{}{}{}{-1+x^2}{(1+x^2) \sqrt {1-x-x^2-x^3+x^4}} \, dx\) [591]
\(\int \genfrac {}{}{}{}{-1-2 x+3 x^2}{\sqrt {-3-2 x-x^2+4 x^3-x^4-2 x^5+x^6}} \, dx\) [592]
\(\int \genfrac {}{}{}{}{-x+x^2}{\sqrt {-2 x+4 x^2-2 x^3+x^4-2 x^5+x^6}} \, dx\) [593]
\(\int \genfrac {}{}{}{}{\sqrt [4]{-1+x^4}}{x^2} \, dx\) [594]
\(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt [4]{1+x^4}}{x} \, dx\) [595]
\(\int \genfrac {}{}{}{}{1}{\sqrt {3+4 x+x^4}} \, dx\) [596]
\(\int \genfrac {}{}{}{}{(1+x^4) \sqrt {-1+2 x^2+x^4}}{(-1+x^4) (-1+x^2+x^4)} \, dx\) [597]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x-x^2+x^4} (2-x+2 x^4)}{(-1+x+x^4)^2} \, dx\) [598]
\(\int \genfrac {}{}{}{}{x+3 x^5}{(-1+x^4) (-a-x+a x^4) \sqrt {-x+x^5}} \, dx\) [599]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^2+x^6} (-1+2 x^6)}{(1+x^6) (2-x^2+2 x^6)} \, dx\) [600]