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3.8
Integrals 701 to 800
\(\int \sqrt {1+\sqrt {x}+x} \, dx\) [701]
\(\int \sqrt {1+x+\sqrt {1+x}} \, dx\) [702]
\(\int \sqrt {\sqrt {-1+x}+x} \, dx\) [703]
\(\int \sqrt {2 x+\sqrt {-1+2 x}} \, dx\) [704]
\(\int \sqrt {3 x+\sqrt {-7+8 x}} \, dx\) [705]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x+\sqrt {1+x}}} \, dx\) [706]
\(\int \genfrac {}{}{}{}{1+x}{4+x+\sqrt {-9+6 x}} \, dx\) [707]
\(\int \genfrac {}{}{}{}{12-x}{4+x+\sqrt {-9+6 x}} \, dx\) [708]
\(\int \genfrac {}{}{}{}{-1+x^3}{\sqrt {x} (1+x^2)} \, dx\) [709]
\(\int \genfrac {}{}{}{}{1}{2 \sqrt {-1+x} \sqrt {-\sqrt {-1+x}+x}} \, dx\) [710]
\(\int \genfrac {}{}{}{}{1+x^{7/2}}{1-x^2} \, dx\) [711]
\(\int \genfrac {}{}{}{}{4+2 x}{\sqrt [3]{-1+2 x}+\sqrt {-1+2 x}} \, dx\) [712]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+\sqrt {1+\sqrt {x}}}} \, dx\) [713]
\(\int \sqrt {2+\sqrt {4+\sqrt {x}}} \, dx\) [714]
\(\int \sqrt {2-\sqrt {4+\sqrt {-9+5 x}}} \, dx\) [715]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+\sqrt {1+\sqrt {x}}}} \, dx\) [716]
\(\int \sqrt {1+\sqrt {1+\sqrt {1+\sqrt {x}}}} \, dx\) [717]
\(\int \sqrt {2+\sqrt {3+\sqrt {-1+2 \sqrt {x}}}} \, dx\) [718]
\(\int \sqrt {1+\sqrt {1+\sqrt {-1+x}}} x \, dx\) [719]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x} \sqrt {-\sqrt {-1+x}+x}} \, dx\) [720]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+x+\sqrt {-1+2 x}}} \, dx\) [721]
\(\int \genfrac {}{}{}{}{q+p x}{\sqrt {b+a x} (f+\sqrt {b+a x})} \, dx\) [722]
\(\int \sqrt {1-\sqrt {x}-x} \, dx\) [723]
\(\int \genfrac {}{}{}{}{9+6 \sqrt {x}+x}{4 \sqrt {x}+x} \, dx\) [724]
\(\int \genfrac {}{}{}{}{6-8 x^{7/2}}{5-9 \sqrt {x}} \, dx\) [725]
\(\int \genfrac {}{}{}{}{\sqrt {1+x} (1+x^3)}{1+x^2} \, dx\) [726]
\(\int \genfrac {}{}{}{}{\sqrt {-1-\sqrt {x}+x}}{(-1+x) \sqrt {x}} \, dx\) [727]
\(\int \genfrac {}{}{}{}{1+2 \sqrt {1+x}}{x \sqrt {1+x} \sqrt {x+\sqrt {1+x}}} \, dx\) [728]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {1+x}} \, dx\) [729]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{x}{1+x}}}{x} \, dx\) [730]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {1+x}} \, dx\) [731]
\(\int \sqrt {\genfrac {}{}{}{}{x}{1+x}} \, dx\) [732]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x}}{x^2 \sqrt {1+x}} \, dx\) [733]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{-1+x}{1+x}}}{x^2} \, dx\) [734]
\(\int \genfrac {}{}{}{}{\sqrt {-1+x} x^3}{\sqrt {1+x}} \, dx\) [735]
\(\int x^3 \sqrt {\genfrac {}{}{}{}{-1+x}{1+x}} \, dx\) [736]
\(\int \genfrac {}{}{}{}{\sqrt {-\genfrac {}{}{}{}{x}{1+x}}}{x} \, dx\) [737]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{1-x}{1+x}}}{-1+x} \, dx\) [738]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a+b x}{c-b x}}}{a+b x} \, dx\) [739]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a+b x}{c+d x}}}{a+b x} \, dx\) [740]
\(\int \sqrt {-\genfrac {}{}{}{}{x}{1+x}} \, dx\) [741]
\(\int \sqrt {\genfrac {}{}{}{}{1-x}{1+x}} \, dx\) [742]
\(\int \sqrt {\genfrac {}{}{}{}{a+x}{a-x}} \, dx\) [743]
\(\int \sqrt {\genfrac {}{}{}{}{-a+x}{a+x}} \, dx\) [744]
\(\int \sqrt {\genfrac {}{}{}{}{a+b x}{c+d x}} \, dx\) [745]
\(\int \sqrt {\genfrac {}{}{}{}{-1+x}{5+3 x}} \, dx\) [746]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{-1+5 x}{1+7 x}}}{x^2} \, dx\) [747]
\(\int \genfrac {}{}{}{}{x}{\sqrt {\genfrac {}{}{}{}{1-x}{1+x}} (1+x)} \, dx\) [748]
\(\int \genfrac {}{}{}{}{x}{(1+x) \sqrt {-1+\genfrac {}{}{}{}{2}{1+x}}} \, dx\) [749]
\(\int \genfrac {}{}{}{}{x}{(1+x) \sqrt {\genfrac {}{}{}{}{2+x}{3+x}}} \, dx\) [750]
\(\int \genfrac {}{}{}{}{\sqrt {1+\genfrac {}{}{}{}{1}{x}}}{(1+x)^2} \, dx\) [751]
\(\int \genfrac {}{}{}{}{\sqrt {1+\genfrac {}{}{}{}{1}{x}}}{\sqrt {1-x^2}} \, dx\) [752]
\(\int \genfrac {}{}{}{}{1}{x+\sqrt {3-2 x-x^2}} \, dx\) [753]
\(\int \genfrac {}{}{}{}{1}{(x+\sqrt {3-2 x-x^2})^2} \, dx\) [754]
\(\int \genfrac {}{}{}{}{1}{(x+\sqrt {3-2 x-x^2})^3} \, dx\) [755]
\(\int \genfrac {}{}{}{}{1}{x+\sqrt {-3-2 x+x^2}} \, dx\) [756]
\(\int \genfrac {}{}{}{}{1}{(x+\sqrt {-3-2 x+x^2})^2} \, dx\) [757]
\(\int \genfrac {}{}{}{}{1}{(x+\sqrt {-3-2 x+x^2})^3} \, dx\) [758]
\(\int \genfrac {}{}{}{}{1}{x+\sqrt {-3-4 x-x^2}} \, dx\) [759]
\(\int \genfrac {}{}{}{}{1}{(x+\sqrt {-3-4 x-x^2})^2} \, dx\) [760]
\(\int \genfrac {}{}{}{}{1}{(x+\sqrt {-3-4 x-x^2})^3} \, dx\) [761]
\(\int x^3 (1+x)^3 (1+2 x) \sqrt {1-x^2-2 x^3-x^4} \, dx\) [762]
\(\int (1+2 x) (x+x^2)^3 \sqrt {1-(x+x^2)^2} \, dx\) [763]
\(\int (8 x-8 x^2+4 x^3-x^4)^{3/2} \, dx\) [764]
\(\int \sqrt {8 x-8 x^2+4 x^3-x^4} \, dx\) [765]
\(\int \genfrac {}{}{}{}{1}{\sqrt {8 x-8 x^2+4 x^3-x^4}} \, dx\) [766]
\(\int \genfrac {}{}{}{}{1}{(8 x-8 x^2+4 x^3-x^4)^{3/2}} \, dx\) [767]
\(\int \genfrac {}{}{}{}{1}{(8 x-8 x^2+4 x^3-x^4)^{5/2}} \, dx\) [768]
\(\int ((2-x) x (4-2 x+x^2))^{3/2} \, dx\) [769]
\(\int \sqrt {(2-x) x (4-2 x+x^2)} \, dx\) [770]
\(\int \genfrac {}{}{}{}{1}{\sqrt {(2-x) x (4-2 x+x^2)}} \, dx\) [771]
\(\int \genfrac {}{}{}{}{1}{((2-x) x (4-2 x+x^2))^{3/2}} \, dx\) [772]
\(\int \genfrac {}{}{}{}{1}{((2-x) x (4-2 x+x^2))^{5/2}} \, dx\) [773]
\(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^{3/2} \, dx\) [774]
\(\int \sqrt {4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4} \, dx\) [775]
\(\int \genfrac {}{}{}{}{1}{\sqrt {4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4}} \, dx\) [776]
\(\int \genfrac {}{}{}{}{1}{(4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^{3/2}} \, dx\) [777]
\(\int \sqrt {8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4} \, dx\) [778]
\(\int \genfrac {}{}{}{}{1}{\sqrt {8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4}} \, dx\) [779]
\(\int \genfrac {}{}{}{}{1}{(8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^{3/2}} \, dx\) [780]
\(\int (a+8 x-8 x^2+4 x^3-x^4)^{3/2} \, dx\) [781]
\(\int \sqrt {a+8 x-8 x^2+4 x^3-x^4} \, dx\) [782]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+8 x-8 x^2+4 x^3-x^4}} \, dx\) [783]
\(\int \genfrac {}{}{}{}{1}{(a+8 x-8 x^2+4 x^3-x^4)^{3/2}} \, dx\) [784]
\(\int \genfrac {}{}{}{}{1}{(a+8 x-8 x^2+4 x^3-x^4)^{5/2}} \, dx\) [785]
\(\int x (a+8 x-8 x^2+4 x^3-x^4)^{3/2} \, dx\) [786]
\(\int x \sqrt {a+8 x-8 x^2+4 x^3-x^4} \, dx\) [787]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+8 x-8 x^2+4 x^3-x^4}} \, dx\) [788]
\(\int \genfrac {}{}{}{}{x}{(a+8 x-8 x^2+4 x^3-x^4)^{3/2}} \, dx\) [789]
\(\int \genfrac {}{}{}{}{x}{(a+8 x-8 x^2+4 x^3-x^4)^{5/2}} \, dx\) [790]
\(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^{3/2} \, dx\) [791]
\(\int x^2 \sqrt {a+8 x-8 x^2+4 x^3-x^4} \, dx\) [792]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+8 x-8 x^2+4 x^3-x^4}} \, dx\) [793]
\(\int \genfrac {}{}{}{}{x^2}{(a+8 x-8 x^2+4 x^3-x^4)^{3/2}} \, dx\) [794]
\(\int \genfrac {}{}{}{}{x^2}{(a+8 x-8 x^2+4 x^3-x^4)^{5/2}} \, dx\) [795]
\(\int \genfrac {}{}{}{}{1}{\sqrt {8+8 x-x^3+8 x^4}} \, dx\) [796]
\(\int \genfrac {}{}{}{}{1}{(8+8 x-x^3+8 x^4)^{3/2}} \, dx\) [797]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+4 x+4 x^2+4 x^4}} \, dx\) [798]
\(\int \genfrac {}{}{}{}{1}{(1+4 x+4 x^2+4 x^4)^{3/2}} \, dx\) [799]
\(\int \genfrac {}{}{}{}{1}{\sqrt {8+24 x+8 x^2-15 x^3+8 x^4}} \, dx\) [800]
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