\(\int \genfrac {}{}{}{}{(-b+a x^3) \sqrt {b+a x^3}}{x^4} \, dx\) [701]
\(\int \genfrac {}{}{}{}{1-2 x+k^2 x^2}{(-1+2 x-2 x^2+k^2 x^2) \sqrt {x-x^2-k^2 x^2+k^2 x^3}} \, dx\) [702]
\(\int \genfrac {}{}{}{}{2+x}{x \sqrt [4]{1+x^4}} \, dx\) [703]
\(\int x^6 \sqrt [4]{1+x^4} \, dx\) [704]
\(\int \genfrac {}{}{}{}{\sqrt [4]{-x+x^4}}{x^2} \, dx\) [705]
\(\int x \sqrt [4]{-x+x^4} \, dx\) [706]
\(\int \genfrac {}{}{}{}{(-b+a x^3) \sqrt {-x+x^4}}{x^3} \, dx\) [707]
\(\int \genfrac {}{}{}{}{\sqrt [4]{-x^3+x^4}}{x^2} \, dx\) [708]
\(\int \genfrac {}{}{}{}{x}{\sqrt {-17+18 x-11 x^2+6 x^3+x^4}} \, dx\) [709]
\(\int \genfrac {}{}{}{}{\sqrt {-1-x-x^2+x^4} (2+x+2 x^4)}{(-1-x+x^4) (-1-x+x^2+x^4)} \, dx\) [710]
\(\int \genfrac {}{}{}{}{1}{x (b+a x^4)^{3/4}} \, dx\) [711]
\(\int \genfrac {}{}{}{}{1}{x \sqrt [4]{b+a x^4}} \, dx\) [712]
\(\int \genfrac {}{}{}{}{1}{x (b+a x^5)^{3/4}} \, dx\) [713]
\(\int \genfrac {}{}{}{}{(1+2 x^3) \sqrt {-1+x^6}}{x} \, dx\) [714]
\(\int \genfrac {}{}{}{}{(-2+x^3) \sqrt [3]{x+x^3+x^4}}{1+x^2+2 x^3+x^4+x^5+x^6} \, dx\) [715]
\(\int \genfrac {}{}{}{}{(-2+x^3) \sqrt [3]{x+x^3+x^4}}{1+x^2+2 x^3+x^4+x^5+x^6} \, dx\) [716]
\(\int \genfrac {}{}{}{}{1}{x (b+a x^6)^{3/4}} \, dx\) [717]
\(\int \genfrac {}{}{}{}{-2 b+a x^4}{\sqrt [4]{b+a x^4} (-b+a x^4+x^8)} \, dx\) [718]
\(\int \genfrac {}{}{}{}{-2 b+a x^4}{\sqrt [4]{b+a x^4} (-b+a x^4+x^8)} \, dx\) [719]
\(\int \genfrac {}{}{}{}{x^2}{(b+a x^4)^{3/4} (b^2+a^2 x^8)} \, dx\) [720]
\(\int \genfrac {}{}{}{}{1}{(-1+x) \sqrt {-\sqrt {x}+x}} \, dx\) [721]
\(\int \genfrac {}{}{}{}{1}{(1+2 x) \sqrt [4]{1+2 x+2 x^2}} \, dx\) [722]
\(\int \genfrac {}{}{}{}{\sqrt {b+a x^3} (2 b+a x^3)}{x^4} \, dx\) [723]
\(\int \genfrac {}{}{}{}{(-2 q+p x^3) \sqrt {q+p x^3}}{x^2 (a q+b x^2+a p x^3)} \, dx\) [724]
\(\int \genfrac {}{}{}{}{-1+2 x}{\sqrt {-8+4 x-3 x^2-10 x^3+x^4}} \, dx\) [725]
\(\int \genfrac {}{}{}{}{-1+x}{\sqrt {4-16 x+12 x^2-8 x^3+x^4}} \, dx\) [726]
\(\int \genfrac {}{}{}{}{\sqrt {q+p x^5} (-2 q+3 p x^5)}{x^2 (a q+b x^2+a p x^5)} \, dx\) [727]
\(\int \genfrac {}{}{}{}{x^2 (-1+4 x^5)}{(1+x^5)^2 (a-x+a x^5) \sqrt {x+x^6}} \, dx\) [728]
\(\int \genfrac {}{}{}{}{\sqrt {-x+x^4} (-b+a x^6)}{x^6} \, dx\) [729]
\(\int \genfrac {}{}{}{}{(-2 q+p x^6) \sqrt {q+p x^6}}{x^3 (a q+b x^4+a p x^6)} \, dx\) [730]
\(\int \genfrac {}{}{}{}{2 (-2 q+p x^6) \sqrt {q+p x^6} (a q+b x^4+a p x^6)}{x^{11}} \, dx\) [731]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [8]{256-256 x^2+96 x^4-16 x^6+x^8}} \, dx\) [732]
\(\int \genfrac {}{}{}{}{x^3 (5 b+8 a x^3)}{\sqrt [4]{b x+a x^4} (-2+b x^5+a x^8)} \, dx\) [733]
\(\int \sqrt {1-x^2-y^4} \, dx\) [734]
\(\int \genfrac {}{}{}{}{1-2 k^2 x+k^2 x^2}{\sqrt {(1-x) x (1-k^2 x)} (-a-b x+(a k^2+b k^2) x^2)} \, dx\) [735]
\(\int \genfrac {}{}{}{}{a b c-(a+b+c) x^2+2 x^3}{\sqrt {x (-a+x) (-b+x) (-c+x)} (-a b c d+(-1+a b d+a c d+b c d) x-(a+b+c) d x^2+d x^3)} \, dx\) [736]
\(\int x^6 \sqrt [4]{-1+x^4} \, dx\) [737]
\(\int \genfrac {}{}{}{}{(-1+2 x) \sqrt [4]{x^3+x^4}}{x} \, dx\) [738]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x^2-2 x^3+x^4} (1-x^3+x^4)}{(-1-2 x^3+x^4) (-2-x^2-4 x^3+2 x^4)} \, dx\) [739]
\(\int \genfrac {}{}{}{}{x^2}{(b+a x^4)^{3/4}} \, dx\) [740]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{b+a x^4} (-b+a x^8)} \, dx\) [741]
\(\int \genfrac {}{}{}{}{-b+a x^8}{\sqrt [4]{b+a x^8} (b-c x^4+a x^8)} \, dx\) [742]
\(\int \genfrac {}{}{}{}{(-3+2 x^5) (1+2 x^5+x^6+x^{10})}{x^6 (1-x^3+x^5) \sqrt [4]{x+x^6}} \, dx\) [743]
\(\int \sqrt {x^2+\sqrt {1+x^4}} \, dx\) [744]
\(\int \genfrac {}{}{}{}{-1-x+x^2}{(1+x^2) \sqrt {-x+x^3}} \, dx\) [745]
\(\int \genfrac {}{}{}{}{-1+x+x^2}{(1+x^2) \sqrt {-x+x^3}} \, dx\) [746]
\(\int \genfrac {}{}{}{}{-7+x+7 x^2}{(1+x^2) \sqrt {-x+x^3}} \, dx\) [747]
\(\int \genfrac {}{}{}{}{1}{(-2+x) \sqrt [4]{-x^2+x^3}} \, dx\) [748]
\(\int (b+a x^3) \sqrt {-x+x^4} \, dx\) [749]
\(\int \genfrac {}{}{}{}{-2-x+2 x^2}{(1+x^2) \sqrt {1+x^2+x^4}} \, dx\) [750]
\(\int \genfrac {}{}{}{}{x^3 (-5 b+9 a x^4)}{\sqrt [4]{-b x+a x^5} (-2-b x^5+a x^9)} \, dx\) [751]
\(\int \genfrac {}{}{}{}{1+x^2}{(-1+x^2) \sqrt {x+x^2+x^3}} \, dx\) [752]
\(\int \genfrac {}{}{}{}{a b c-(a+b+c) x^2+2 x^3}{\sqrt {x (-a+x) (-b+x) (-c+x)} (-a b c+(a b+a c+b c-d) x-(a+b+c) x^2+x^3)} \, dx\) [753]
\(\int \genfrac {}{}{}{}{(-b+a x^3) \sqrt {b+a x^3}}{x^7} \, dx\) [754]
\(\int \genfrac {}{}{}{}{\sqrt {b+a x^3} (2 b+a x^3)}{x^7} \, dx\) [755]
\(\int \genfrac {}{}{}{}{3 a b c x-2 (a b+a c+b c) x^2+(a+b+c) x^3}{\sqrt {x (-a+x) (-b+x) (-c+x)} (a b c-(a b+a c+b c) x+(a+b+c) x^2+(-1+d) x^3)} \, dx\) [756]
\(\int \genfrac {}{}{}{}{x (3 a b c-2 (a b+a c+b c) x+(a+b+c) x^2)}{\sqrt {x (-a+x) (-b+x) (-c+x)} (-a b c d+(a b+a c+b c) d x-(a+b+c) d x^2+(-1+d) x^3)} \, dx\) [757]
\(\int \sqrt [4]{-x^2+x^4} \, dx\) [758]
\(\int x^2 \sqrt [4]{x^2+x^4} \, dx\) [759]
\(\int \genfrac {}{}{}{}{(-1+2 x^4) \sqrt {1+3 x^2+2 x^4}}{(1+2 x^2+2 x^4)^2} \, dx\) [760]
\(\int \genfrac {}{}{}{}{\sqrt {-2+x^2-2 x^3+2 x^4} (2-x^3+2 x^4)}{(-1-x^3+x^4) (-2-x^2-2 x^3+2 x^4)} \, dx\) [761]
\(\int \genfrac {}{}{}{}{-b+a x^2}{(b+a x^2) \sqrt {b^2+a^2 x^4}} \, dx\) [762]
\(\int \genfrac {}{}{}{}{3 b+a x^4}{(-b-x^3+a x^4) \sqrt [4]{-b x+a x^5}} \, dx\) [763]
\(\int \genfrac {}{}{}{}{(-1+x^3) \sqrt {-1+x^6}}{x} \, dx\) [764]
\(\int \genfrac {}{}{}{}{x (3+4 x) \sqrt [3]{-1-2 x+x^3}}{-2-8 x-8 x^2+x^6} \, dx\) [765]
\(\int \genfrac {}{}{}{}{x (3+4 x) \sqrt [3]{-1-2 x+x^3}}{-2-8 x-8 x^2+x^6} \, dx\) [766]
\(\int \genfrac {}{}{}{}{(3+2 x) (1+x+x^3)^{2/3}}{1+2 x+x^2+x^3+x^4+x^6} \, dx\) [767]
\(\int \genfrac {}{}{}{}{(3+2 x) (1+x+x^3)^{2/3}}{1+2 x+x^2+x^3+x^4+x^6} \, dx\) [768]
\(\int \genfrac {}{}{}{}{(2+x^3) \sqrt [3]{x+x^3-x^4}}{1+x^2-2 x^3+x^4-x^5+x^6} \, dx\) [769]
\(\int \genfrac {}{}{}{}{(2+x^3) \sqrt [3]{x+x^3-x^4}}{1+x^2-2 x^3+x^4-x^5+x^6} \, dx\) [770]
\(\int \genfrac {}{}{}{}{(3+x^2) (1+x^2+x^3)^{2/3}}{-1-2 x^2+x^3-x^4+x^5+x^6} \, dx\) [771]
\(\int \genfrac {}{}{}{}{(3+x^2) (1+x^2+x^3)^{2/3}}{-1-2 x^2+x^3-x^4+x^5+x^6} \, dx\) [772]
\(\int \genfrac {}{}{}{}{b+a x^8}{\sqrt [4]{b-a x^8} (-b+c x^4+a x^8)} \, dx\) [773]
\(\int \genfrac {}{}{}{}{x \sqrt [3]{2-x^3+x^8} (-6+5 x^8)}{4+x^6+4 x^8+x^{16}} \, dx\) [774]
\(\int \genfrac {}{}{}{}{a b+a c-b c-2 a x+x^2}{\sqrt {(-a+x) (-b+x) (-c+x)} (b c+a d-(b+c+d) x+x^2)} \, dx\) [775]
\(\int \genfrac {}{}{}{}{a b+a c-b c-2 a x+x^2}{\sqrt {(-a+x) (-b+x) (-c+x)} (a+b c d-(1+b d+c d) x+d x^2)} \, dx\) [776]
\(\int \genfrac {}{}{}{}{-1+k^2 x^2}{\sqrt {(1-x) x (1-k^2 x)} (1+k^2 x^2)} \, dx\) [777]
\(\int \genfrac {}{}{}{}{a (a b+a c-3 b c)+(-2 a^2+a b+a c+3 b c) x+(a-2 b-2 c) x^2+x^3}{\sqrt {(-a+x) (-b+x) (-c+x)} (-a^3-b c d+(3 a^2+b d+c d) x-(3 a+d) x^2+x^3)} \, dx\) [778]
\(\int \genfrac {}{}{}{}{(-2 c+a x^3) \sqrt {c+b x^2+a x^3}}{(c+a x^3)^2} \, dx\) [779]
\(\int \genfrac {}{}{}{}{-b+a^2 x^2}{(b+2 a b x+a^2 x^2) \sqrt {b x+a^2 x^3}} \, dx\) [780]
\(\int \genfrac {}{}{}{}{a (a b+a c-3 b c)+(-2 a^2+a b+a c+3 b c) x+(a-2 b-2 c) x^2+x^3}{\sqrt {(-a+x) (-b+x) (-c+x)} (-b c-a^3 d+(b+c+3 a^2 d) x-(1+3 a d) x^2+d x^3)} \, dx\) [781]
\(\int \genfrac {}{}{}{}{(-1+x^2) \sqrt {1+x^4}}{x^5} \, dx\) [782]
\(\int \genfrac {}{}{}{}{(-1+x^2) \sqrt {1+x^4}}{x^3} \, dx\) [783]
\(\int \genfrac {}{}{}{}{(1+2 x^3) \sqrt {-1+x^6}}{x^7} \, dx\) [784]
\(\int \genfrac {}{}{}{}{(1+2 x^3) \sqrt {-1+x^6}}{x^4} \, dx\) [785]
\(\int \genfrac {}{}{}{}{b^6+a^6 x^6}{\sqrt {-b^2 x+a^2 x^3} (-b^6+c x^3+a^6 x^6)} \, dx\) [786]
\(\int \genfrac {}{}{}{}{b^6+a^6 x^6}{\sqrt {-b^2 x+a^2 x^3} (-b^6+c x^3+a^6 x^6)} \, dx\) [787]
\(\int \genfrac {}{}{}{}{x-3 x^5}{\sqrt {x+x^5} (1-a x^2+2 x^4+x^8)} \, dx\) [788]
\(\int \genfrac {}{}{}{}{\sqrt {1-2 x^8} (-1+2 x^8) (1+2 x^8)}{x^7 (-1+x^4+2 x^8)} \, dx\) [789]
\(\int \genfrac {}{}{}{}{-x+3 x^5}{\sqrt {x+x^5} (a-x^2+2 a x^4+a x^8)} \, dx\) [790]
\(\int \genfrac {}{}{}{}{x^5 (7 b+9 a x^2)}{\sqrt [4]{b x^3+a x^5} (-2+b x^7+a x^9)} \, dx\) [791]
\(\int \genfrac {}{}{}{}{x^2}{(1+x^2) \sqrt [5]{243-5265 x+47250 x^2-225810 x^3+615255 x^4-954733 x^5+820340 x^6-401440 x^7+112000 x^8-16640 x^9+1024 x^{10}}} \, dx\) [792]
\(\int \genfrac {}{}{}{}{\sqrt [3]{1-2 x+x^2}}{2+x^2} \, dx\) [793]
\(\int \genfrac {}{}{}{}{\sqrt [3]{1+2 x+x^2}}{3+x^2} \, dx\) [794]
\(\int \genfrac {}{}{}{}{1}{(-1+x) \sqrt [4]{x+x^3}} \, dx\) [795]
\(\int \genfrac {}{}{}{}{-1+x^4}{\sqrt {x+x^3} (1+x^4)} \, dx\) [796]
\(\int \genfrac {}{}{}{}{1+x^3}{(-1+x^3) \sqrt {1+x^4}} \, dx\) [797]
\(\int \genfrac {}{}{}{}{-1+x}{x \sqrt [4]{1+x^4}} \, dx\) [798]
\(\int \genfrac {}{}{}{}{x^2}{(-b+a x^4)^{3/4}} \, dx\) [799]
\(\int \genfrac {}{}{}{}{(6+x^4) \sqrt {-2 x+x^4+x^5}}{(-2+x^4) (-2-x^3+x^4)} \, dx\) [800]