\(\int \genfrac {}{}{}{}{b+2 a x^4}{x^2 (b+a x^4)^{3/4}} \, dx\) [901]
\(\int \genfrac {}{}{}{}{(1+x^2) \sqrt [4]{x^2+x^6}}{x^2 (-1+x^2)} \, dx\) [902]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^3} (1-x^3+x^6)}{x^{10} (2+x^3)} \, dx\) [903]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+x \sqrt {x+x^2}}}{x \sqrt {x+x^2}} \, dx\) [904]
\(\int \genfrac {}{}{}{}{1}{(-b+a x^2) \sqrt [3]{b^2 x^2+a^3 x^3}} \, dx\) [905]
\(\int \genfrac {}{}{}{}{1}{(-b+a x^2) \sqrt [3]{b^2 x^2+a^3 x^3}} \, dx\) [906]
\(\int \genfrac {}{}{}{}{(-a+x) (-b+x) (3 a b-2 (a+b) x+x^2)}{x^2 \sqrt {x (-a+x) (-b+x)} (-a b+(a+b) x-x^2+d x^3)} \, dx\) [907]
\(\int \genfrac {}{}{}{}{1}{(1+x^3) \sqrt [4]{-x+x^4}} \, dx\) [908]
\(\int \genfrac {}{}{}{}{x \sqrt {-x^2+x^4}}{-3+2 x^2} \, dx\) [909]
\(\int \genfrac {}{}{}{}{(-1+x^4) (1+x^4) \sqrt {-1-x^2+x^4}}{(-2-x^2+2 x^4)^2 (-2+x^2+2 x^4)} \, dx\) [910]
\(\int \genfrac {}{}{}{}{b+a x^2}{(b+a x^2+x^4) \sqrt [4]{b x^2+a x^4}} \, dx\) [911]
\(\int \genfrac {}{}{}{}{b+a x^2}{(b+a x^2+x^4) \sqrt [4]{b x^2+a x^4}} \, dx\) [912]
\(\int \genfrac {}{}{}{}{(-b+a x^2) \sqrt {b^2+a^2 x^4}}{x^2 (b+a x^2)} \, dx\) [913]
\(\int \genfrac {}{}{}{}{4 b+a x^3}{(b+a x^3) \sqrt [4]{-b-a x^3+c x^4}} \, dx\) [914]
\(\int \genfrac {}{}{}{}{(-3+x^4) (1+x^4) (1+x^3+x^4)}{x^6 (1-x^3+x^4) \sqrt [4]{x+x^5}} \, dx\) [915]
\(\int \genfrac {}{}{}{}{(-3+x^4) (1+2 x^4+x^6+x^8)}{x^6 (1-x^3+x^4) \sqrt [4]{x+x^5}} \, dx\) [916]
\(\int \genfrac {}{}{}{}{(b+a x^3)^{3/4}}{x} \, dx\) [917]
\(\int \genfrac {}{}{}{}{1+3 x+3 x^4}{x \sqrt [4]{1+x^4}} \, dx\) [918]
\(\int \genfrac {}{}{}{}{(b+a x^4)^{3/4}}{x} \, dx\) [919]
\(\int \genfrac {}{}{}{}{-1+x^2}{(1+x^2) \sqrt {a+b x+c x^2+b x^3+a x^4}} \, dx\) [920]
\(\int \genfrac {}{}{}{}{(b+a x^2) \sqrt {b^2+a^2 x^4}}{x^2 (-b+a x^2)} \, dx\) [921]
\(\int \genfrac {}{}{}{}{(b+a x^5)^{3/4}}{x} \, dx\) [922]
\(\int \genfrac {}{}{}{}{(3+2 x^5) \sqrt {x-2 x^4-x^6}}{(-1+x^5)^2} \, dx\) [923]
\(\int \genfrac {}{}{}{}{(-2+x^6) (1+x^6) \sqrt [4]{1-x^4+x^6}}{x^6 (1-2 x^4+x^6)} \, dx\) [924]
\(\int \genfrac {}{}{}{}{(b+a x^6)^{3/4}}{x} \, dx\) [925]
\(\int \genfrac {}{}{}{}{\sqrt {1+x}}{\sqrt {x+\sqrt {1+x}}} \, dx\) [926]
\(\int \genfrac {}{}{}{}{\sqrt {x+\sqrt {1+x}}}{\sqrt {1+x}} \, dx\) [927]
\(\int \genfrac {}{}{}{}{(-1+x^2) \sqrt {1+\sqrt {1+x^2}}}{1+x^2} \, dx\) [928]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x^2+\sqrt {1+x^4}}} \, dx\) [929]
\(\int \genfrac {}{}{}{}{\sqrt {x^2+\sqrt {1+x^4}}}{x^2} \, dx\) [930]
\(\int \genfrac {}{}{}{}{1}{(\sqrt {-1+x}+2 \sqrt {x})^2 \sqrt {-1+x}} \, dx\) [931]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x^2} (-4+3 x^2)^2} \, dx\) [932]
\(\int \genfrac {}{}{}{}{1}{x \sqrt [3]{1+x^3}} \, dx\) [933]
\(\int \genfrac {}{}{}{}{x^2 (3-2 (1+k) x+k x^2)}{((1-x) x (1-k x))^{3/4} (-1+(1+k) x-k x^2+d x^3)} \, dx\) [934]
\(\int \genfrac {}{}{}{}{-b+a x^2}{(-b+a x^2+x^4) \sqrt [4]{-b x^2+a x^4}} \, dx\) [935]
\(\int \genfrac {}{}{}{}{-b+a x^2}{(-b+a x^2+x^4) \sqrt [4]{-b x^2+a x^4}} \, dx\) [936]
\(\int \genfrac {}{}{}{}{\sqrt [3]{-x+x^3}}{b+a x^6} \, dx\) [937]
\(\int \genfrac {}{}{}{}{\sqrt [3]{-x+x^3}}{b+a x^6} \, dx\) [938]
\(\int \genfrac {}{}{}{}{(-2 b+a x^6) (b+a x^6)^{3/4}}{x^4 (b-c x^4+a x^6)} \, dx\) [939]
\(\int \genfrac {}{}{}{}{b+a x^8}{(-b+a x^8) \sqrt [4]{-b+c x^4+a x^8}} \, dx\) [940]
\(\int \genfrac {}{}{}{}{\sqrt {1+x^5} (-2+3 x^5)}{1+x^4+2 x^5+x^{10}} \, dx\) [941]
\(\int \genfrac {}{}{}{}{1}{(2 x+\sqrt {1+x^2})^2} \, dx\) [942]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2+x \sqrt {-b+a^2 x^2}}}{x \sqrt {-b+a^2 x^2}} \, dx\) [943]
\(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{1+x^2} \, dx\) [944]
\(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{1+x^2} \, dx\) [945]
\(\int \genfrac {}{}{}{}{\sqrt [3]{1+2 x+x^2}}{4+x+x^2+x^3} \, dx\) [946]
\(\int \genfrac {}{}{}{}{(-1+x^2) \sqrt {1+x^4}}{(1-x+x^2) (1+x+x^2)^2} \, dx\) [947]
\(\int x^4 \sqrt [4]{-x^2+x^4} \, dx\) [948]
\(\int \genfrac {}{}{}{}{x^4 \sqrt [4]{x^3+x^4}}{1+x} \, dx\) [949]
\(\int \genfrac {}{}{}{}{(4 b+a x^3) (-b-a x^3+x^4)}{x^4 \sqrt [4]{b+a x^3} (-b-a x^3+2 x^4)} \, dx\) [950]
\(\int \genfrac {}{}{}{}{b+a x^2}{(b+a x^4) \sqrt [4]{b x^2+a x^4}} \, dx\) [951]
\(\int \genfrac {}{}{}{}{b+a x^2}{(b+a x^4) \sqrt [4]{b x^2+a x^4}} \, dx\) [952]
\(\int \genfrac {}{}{}{}{1-x}{\sqrt {3+2 x-5 x^2-4 x^3+x^4+2 x^5+x^6}} \, dx\) [953]
\(\int \genfrac {}{}{}{}{(-1+3 x^4) \sqrt {1+x^2+2 x^4+x^8}}{(1-x+x^4)^2 (1+x+x^4)} \, dx\) [954]
\(\int \sqrt {c+b x+a x^2} \, dx\) [955]
\(\int \genfrac {}{}{}{}{-1+x}{(-1-2 x+x^2) \sqrt {-x+x^3}} \, dx\) [956]
\(\int \genfrac {}{}{}{}{-2+3 x+x^2}{(-1-2 x+x^2) \sqrt {-x+x^3}} \, dx\) [957]
\(\int \genfrac {}{}{}{}{x (-3+x^2)}{(-1+x^2)^{2/3} (1-x^2+x^3)} \, dx\) [958]
\(\int x^2 \sqrt [4]{-x^3+x^4} \, dx\) [959]
\(\int \genfrac {}{}{}{}{(3+x^4) \sqrt {x+x^4-x^5}}{(-1+x^4) (-1+x^3+x^4)} \, dx\) [960]
\(\int \genfrac {}{}{}{}{(-b+a x^2) \sqrt {b x+a x^3}}{b^2 x+2 (-1+a b) x^3+a^2 x^5} \, dx\) [961]
\(\int \genfrac {}{}{}{}{(-2+x^3) (1+x^3)^{2/3}}{x^3 (2+x^3+x^6)} \, dx\) [962]
\(\int \genfrac {}{}{}{}{(-2+x^3) (1+x^3)^{2/3}}{x^3 (2+x^3+x^6)} \, dx\) [963]
\(\int \genfrac {}{}{}{}{(-3+2 x^5) \sqrt {x+2 x^4+x^6}}{(1+x^5) (1+x^3+x^5)} \, dx\) [964]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^2+x^4+x^6} (1+x^4+2 x^6)}{1-x^4-2 x^6+x^8+2 x^{10}+x^{12}} \, dx\) [965]
\(\int \genfrac {}{}{}{}{\sqrt {x^2-x \sqrt {-x+x^2}}}{x^3} \, dx\) [966]
\(\int \genfrac {}{}{}{}{1}{x (1+x^2)^{2/3}} \, dx\) [967]
\(\int \genfrac {}{}{}{}{1}{x \sqrt [3]{1+x^2}} \, dx\) [968]
\(\int \genfrac {}{}{}{}{1}{(-1+x^3) \sqrt [3]{-x^2+x^3}} \, dx\) [969]
\(\int \genfrac {}{}{}{}{1}{(-1+x^3) \sqrt [3]{-x^2+x^3}} \, dx\) [970]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^3} (2+x^3) (-1-x^2+x^3)^2}{x^6 (-2-3 x^2+2 x^3)} \, dx\) [971]
\(\int \genfrac {}{}{}{}{\sqrt [4]{-1+3 x-3 x^2+x^3}}{-1-2 x+x^2+3 x^3} \, dx\) [972]
\(\int \genfrac {}{}{}{}{(1+x+x^2) (2 x+x^2) \sqrt {1+2 x+x^2-x^4}}{(1+x)^4} \, dx\) [973]
\(\int \genfrac {}{}{}{}{-1-x+x^4}{x \sqrt [4]{1+x^4}} \, dx\) [974]
\(\int \genfrac {}{}{}{}{\sqrt [4]{-x^3+x^4}}{x^2 (-1+x^2)} \, dx\) [975]
\(\int \genfrac {}{}{}{}{-3+x^4}{\sqrt [3]{1+x^4} (1-x^3+x^4)} \, dx\) [976]
\(\int \genfrac {}{}{}{}{b+a x^2}{(b-a x^2+x^4) \sqrt [4]{b x^2+a x^4}} \, dx\) [977]
\(\int \genfrac {}{}{}{}{b+a x^2}{(b-a x^2+x^4) \sqrt [4]{b x^2+a x^4}} \, dx\) [978]
\(\int \genfrac {}{}{}{}{-b+2 a x^4}{x^2 (-b+a x^4)^{3/4}} \, dx\) [979]
\(\int \genfrac {}{}{}{}{1}{x \sqrt [3]{1+x^6}} \, dx\) [980]
\(\int \genfrac {}{}{}{}{3-9 x^4+2 x^6}{x (1+x^2)^2 (-1+2 x^2) \sqrt {\genfrac {}{}{}{}{1-2 x^2}{1+2 x^2}} (1+2 x^2)} \, dx\) [981]
\(\int \genfrac {}{}{}{}{\sqrt [4]{-1+2 x^4} (-2+x^8)}{x^6 (-1+x^4)^2} \, dx\) [982]
\(\int \genfrac {}{}{}{}{(b+a x^2)^{3/4}}{x^3} \, dx\) [983]
\(\int \genfrac {}{}{}{}{3-2 (1+k) x+k x^2}{\sqrt [4]{(1-x) x (1-k x)} (-d+d (1+k) x-d k x^2+x^3)} \, dx\) [984]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{-1+3 x-3 x^2+x^3} (-1-2 x+x^2+3 x^3)} \, dx\) [985]
\(\int \genfrac {}{}{}{}{(b+a x^3)^{3/4}}{x^4} \, dx\) [986]
\(\int \genfrac {}{}{}{}{\sqrt [4]{x^2+x^4}}{x^4 (-1+x^4)} \, dx\) [987]
\(\int \genfrac {}{}{}{}{x (-3+x^4)}{(1+x^4)^{2/3} (1+x^3+x^4)} \, dx\) [988]
\(\int \genfrac {}{}{}{}{\sqrt {2-x^2-4 x^4} (1+2 x^4)}{(-1+2 x^4) (-1-x^2+2 x^4)} \, dx\) [989]
\(\int (b+a x^4)^{3/4} \, dx\) [990]
\(\int \genfrac {}{}{}{}{(b+a x^4)^{3/4}}{x^4} \, dx\) [991]
\(\int \genfrac {}{}{}{}{(b+a x^5)^{3/4}}{x^6} \, dx\) [992]
\(\int \genfrac {}{}{}{}{2-3 x^5}{(1-x^2+x^5) \sqrt [3]{x+x^6}} \, dx\) [993]
\(\int \genfrac {}{}{}{}{(b+a x^6)^{3/4}}{x^7} \, dx\) [994]
\(\int \genfrac {}{}{}{}{2 b+a x^6}{\sqrt [4]{-b+a x^6} (-b-2 x^4+a x^6)} \, dx\) [995]
\(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt {1+x^4}}{1+3 x^4+x^8} \, dx\) [996]
\(\int \genfrac {}{}{}{}{-1+k^2 x^2}{\sqrt {(1-x) x (1-k^2 x)} (a+b x+a k^2 x^2)} \, dx\) [997]
\(\int \genfrac {}{}{}{}{1}{x \sqrt [3]{-1+x^4}} \, dx\) [998]
\(\int \genfrac {}{}{}{}{x^2 (-2 b+a x^2)}{(-b+a x^2)^{3/4} (4 b-4 a x^2+x^4)} \, dx\) [999]
\(\int \genfrac {}{}{}{}{-a b x+x^3}{\sqrt {x (-a+x) (-b+x)} (a^2 b^2-2 a b (a+b) x+(a^2+4 a b+b^2-d) x^2-2 (a+b) x^3+x^4)} \, dx\) [1000]