3.8.1 \(\int \sqrt {1+\sqrt {x}+x} \, dx\) [701]
3.8.2 \(\int \sqrt {1+x+\sqrt {1+x}} \, dx\) [702]
3.8.3 \(\int \sqrt {\sqrt {-1+x}+x} \, dx\) [703]
3.8.4 \(\int \sqrt {2 x+\sqrt {-1+2 x}} \, dx\) [704]
3.8.5 \(\int \sqrt {3 x+\sqrt {-7+8 x}} \, dx\) [705]
3.8.6 \(\int \genfrac {}{}{}{}{1}{\sqrt {x+\sqrt {1+x}}} \, dx\) [706]
3.8.7 \(\int \genfrac {}{}{}{}{1+x}{4+x+\sqrt {-9+6 x}} \, dx\) [707]
3.8.8 \(\int \genfrac {}{}{}{}{12-x}{4+x+\sqrt {-9+6 x}} \, dx\) [708]
3.8.9 \(\int \genfrac {}{}{}{}{-1+x^3}{\sqrt {x} (1+x^2)} \, dx\) [709]
3.8.10 \(\int \genfrac {}{}{}{}{1}{2 \sqrt {-1+x} \sqrt {-\sqrt {-1+x}+x}} \, dx\) [710]
3.8.11 \(\int \genfrac {}{}{}{}{1+x^{7/2}}{1-x^2} \, dx\) [711]
3.8.12 \(\int \genfrac {}{}{}{}{4+2 x}{\sqrt [3]{-1+2 x}+\sqrt {-1+2 x}} \, dx\) [712]
3.8.13 \(\int \genfrac {}{}{}{}{1}{\sqrt {2+\sqrt {1+\sqrt {x}}}} \, dx\) [713]
3.8.14 \(\int \sqrt {2+\sqrt {4+\sqrt {x}}} \, dx\) [714]
3.8.15 \(\int \sqrt {2-\sqrt {4+\sqrt {-9+5 x}}} \, dx\) [715]
3.8.16 \(\int \genfrac {}{}{}{}{1}{\sqrt {2+\sqrt {1+\sqrt {x}}}} \, dx\) [716]
3.8.17 \(\int \sqrt {1+\sqrt {1+\sqrt {1+\sqrt {x}}}} \, dx\) [717]
3.8.18 \(\int \sqrt {2+\sqrt {3+\sqrt {-1+2 \sqrt {x}}}} \, dx\) [718]
3.8.19 \(\int \sqrt {1+\sqrt {1+\sqrt {-1+x}}} x \, dx\) [719]
3.8.20 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+x} \sqrt {-\sqrt {-1+x}+x}} \, dx\) [720]
3.8.21 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+x+\sqrt {-1+2 x}}} \, dx\) [721]
3.8.22 \(\int \genfrac {}{}{}{}{q+p x}{\sqrt {b+a x} (f+\sqrt {b+a x})} \, dx\) [722]
3.8.23 \(\int \sqrt {1-\sqrt {x}-x} \, dx\) [723]
3.8.24 \(\int \genfrac {}{}{}{}{9+6 \sqrt {x}+x}{4 \sqrt {x}+x} \, dx\) [724]
3.8.25 \(\int \genfrac {}{}{}{}{6-8 x^{7/2}}{5-9 \sqrt {x}} \, dx\) [725]
3.8.26 \(\int \genfrac {}{}{}{}{\sqrt {1+x} (1+x^3)}{1+x^2} \, dx\) [726]
3.8.27 \(\int \genfrac {}{}{}{}{\sqrt {-1-\sqrt {x}+x}}{(-1+x) \sqrt {x}} \, dx\) [727]
3.8.28 \(\int \genfrac {}{}{}{}{1+2 \sqrt {1+x}}{x \sqrt {1+x} \sqrt {x+\sqrt {1+x}}} \, dx\) [728]
3.8.29 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {1+x}} \, dx\) [729]
3.8.30 \(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{x}{1+x}}}{x} \, dx\) [730]
3.8.31 \(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {1+x}} \, dx\) [731]
3.8.32 \(\int \sqrt {\genfrac {}{}{}{}{x}{1+x}} \, dx\) [732]
3.8.33 \(\int \genfrac {}{}{}{}{\sqrt {-1+x}}{x^2 \sqrt {1+x}} \, dx\) [733]
3.8.34 \(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{-1+x}{1+x}}}{x^2} \, dx\) [734]
3.8.35 \(\int \genfrac {}{}{}{}{\sqrt {-1+x} x^3}{\sqrt {1+x}} \, dx\) [735]
3.8.36 \(\int x^3 \sqrt {\genfrac {}{}{}{}{-1+x}{1+x}} \, dx\) [736]
3.8.37 \(\int \genfrac {}{}{}{}{\sqrt {-\genfrac {}{}{}{}{x}{1+x}}}{x} \, dx\) [737]
3.8.38 \(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{1-x}{1+x}}}{-1+x} \, dx\) [738]
3.8.39 \(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a+b x}{c-b x}}}{a+b x} \, dx\) [739]
3.8.40 \(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{a+b x}{c+d x}}}{a+b x} \, dx\) [740]
3.8.41 \(\int \sqrt {-\genfrac {}{}{}{}{x}{1+x}} \, dx\) [741]
3.8.42 \(\int \sqrt {\genfrac {}{}{}{}{1-x}{1+x}} \, dx\) [742]
3.8.43 \(\int \sqrt {\genfrac {}{}{}{}{a+x}{a-x}} \, dx\) [743]
3.8.44 \(\int \sqrt {\genfrac {}{}{}{}{-a+x}{a+x}} \, dx\) [744]
3.8.45 \(\int \sqrt {\genfrac {}{}{}{}{a+b x}{c+d x}} \, dx\) [745]
3.8.46 \(\int \sqrt {\genfrac {}{}{}{}{-1+x}{5+3 x}} \, dx\) [746]
3.8.47 \(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{-1+5 x}{1+7 x}}}{x^2} \, dx\) [747]
3.8.48 \(\int \genfrac {}{}{}{}{x}{\sqrt {\genfrac {}{}{}{}{1-x}{1+x}} (1+x)} \, dx\) [748]
3.8.49 \(\int \genfrac {}{}{}{}{x}{(1+x) \sqrt {-1+\genfrac {}{}{}{}{2}{1+x}}} \, dx\) [749]
3.8.50 \(\int \genfrac {}{}{}{}{x}{(1+x) \sqrt {\genfrac {}{}{}{}{2+x}{3+x}}} \, dx\) [750]
3.8.51 \(\int \genfrac {}{}{}{}{\sqrt {1+\genfrac {}{}{}{}{1}{x}}}{(1+x)^2} \, dx\) [751]
3.8.52 \(\int \genfrac {}{}{}{}{\sqrt {1+\genfrac {}{}{}{}{1}{x}}}{\sqrt {1-x^2}} \, dx\) [752]
3.8.53 \(\int \genfrac {}{}{}{}{1}{x+\sqrt {3-2 x-x^2}} \, dx\) [753]
3.8.54 \(\int \genfrac {}{}{}{}{1}{(x+\sqrt {3-2 x-x^2})^2} \, dx\) [754]
3.8.55 \(\int \genfrac {}{}{}{}{1}{(x+\sqrt {3-2 x-x^2})^3} \, dx\) [755]
3.8.56 \(\int \genfrac {}{}{}{}{1}{x+\sqrt {-3-2 x+x^2}} \, dx\) [756]
3.8.57 \(\int \genfrac {}{}{}{}{1}{(x+\sqrt {-3-2 x+x^2})^2} \, dx\) [757]
3.8.58 \(\int \genfrac {}{}{}{}{1}{(x+\sqrt {-3-2 x+x^2})^3} \, dx\) [758]
3.8.59 \(\int \genfrac {}{}{}{}{1}{x+\sqrt {-3-4 x-x^2}} \, dx\) [759]
3.8.60 \(\int \genfrac {}{}{}{}{1}{(x+\sqrt {-3-4 x-x^2})^2} \, dx\) [760]
3.8.61 \(\int \genfrac {}{}{}{}{1}{(x+\sqrt {-3-4 x-x^2})^3} \, dx\) [761]
3.8.62 \(\int x^3 (1+x)^3 (1+2 x) \sqrt {1-x^2-2 x^3-x^4} \, dx\) [762]
3.8.63 \(\int (1+2 x) (x+x^2)^3 \sqrt {1-(x+x^2)^2} \, dx\) [763]
3.8.64 \(\int (8 x-8 x^2+4 x^3-x^4)^{3/2} \, dx\) [764]
3.8.65 \(\int \sqrt {8 x-8 x^2+4 x^3-x^4} \, dx\) [765]
3.8.66 \(\int \genfrac {}{}{}{}{1}{\sqrt {8 x-8 x^2+4 x^3-x^4}} \, dx\) [766]
3.8.67 \(\int \genfrac {}{}{}{}{1}{(8 x-8 x^2+4 x^3-x^4)^{3/2}} \, dx\) [767]
3.8.68 \(\int \genfrac {}{}{}{}{1}{(8 x-8 x^2+4 x^3-x^4)^{5/2}} \, dx\) [768]
3.8.69 \(\int ((2-x) x (4-2 x+x^2))^{3/2} \, dx\) [769]
3.8.70 \(\int \sqrt {(2-x) x (4-2 x+x^2)} \, dx\) [770]
3.8.71 \(\int \genfrac {}{}{}{}{1}{\sqrt {(2-x) x (4-2 x+x^2)}} \, dx\) [771]
3.8.72 \(\int \genfrac {}{}{}{}{1}{((2-x) x (4-2 x+x^2))^{3/2}} \, dx\) [772]
3.8.73 \(\int \genfrac {}{}{}{}{1}{((2-x) x (4-2 x+x^2))^{5/2}} \, dx\) [773]
3.8.74 \(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^{3/2} \, dx\) [774]
3.8.75 \(\int \sqrt {4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4} \, dx\) [775]
3.8.76 \(\int \genfrac {}{}{}{}{1}{\sqrt {4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4}} \, dx\) [776]
3.8.77 \(\int \genfrac {}{}{}{}{1}{(4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^{3/2}} \, dx\) [777]
3.8.78 \(\int \sqrt {8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4} \, dx\) [778]
3.8.79 \(\int \genfrac {}{}{}{}{1}{\sqrt {8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4}} \, dx\) [779]
3.8.80 \(\int \genfrac {}{}{}{}{1}{(8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^{3/2}} \, dx\) [780]
3.8.81 \(\int (a+8 x-8 x^2+4 x^3-x^4)^{3/2} \, dx\) [781]
3.8.82 \(\int \sqrt {a+8 x-8 x^2+4 x^3-x^4} \, dx\) [782]
3.8.83 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+8 x-8 x^2+4 x^3-x^4}} \, dx\) [783]
3.8.84 \(\int \genfrac {}{}{}{}{1}{(a+8 x-8 x^2+4 x^3-x^4)^{3/2}} \, dx\) [784]
3.8.85 \(\int \genfrac {}{}{}{}{1}{(a+8 x-8 x^2+4 x^3-x^4)^{5/2}} \, dx\) [785]
3.8.86 \(\int x (a+8 x-8 x^2+4 x^3-x^4)^{3/2} \, dx\) [786]
3.8.87 \(\int x \sqrt {a+8 x-8 x^2+4 x^3-x^4} \, dx\) [787]
3.8.88 \(\int \genfrac {}{}{}{}{x}{\sqrt {a+8 x-8 x^2+4 x^3-x^4}} \, dx\) [788]
3.8.89 \(\int \genfrac {}{}{}{}{x}{(a+8 x-8 x^2+4 x^3-x^4)^{3/2}} \, dx\) [789]
3.8.90 \(\int \genfrac {}{}{}{}{x}{(a+8 x-8 x^2+4 x^3-x^4)^{5/2}} \, dx\) [790]
3.8.91 \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^{3/2} \, dx\) [791]
3.8.92 \(\int x^2 \sqrt {a+8 x-8 x^2+4 x^3-x^4} \, dx\) [792]
3.8.93 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+8 x-8 x^2+4 x^3-x^4}} \, dx\) [793]
3.8.94 \(\int \genfrac {}{}{}{}{x^2}{(a+8 x-8 x^2+4 x^3-x^4)^{3/2}} \, dx\) [794]
3.8.95 \(\int \genfrac {}{}{}{}{x^2}{(a+8 x-8 x^2+4 x^3-x^4)^{5/2}} \, dx\) [795]
3.8.96 \(\int \genfrac {}{}{}{}{1}{\sqrt {8+8 x-x^3+8 x^4}} \, dx\) [796]
3.8.97 \(\int \genfrac {}{}{}{}{1}{(8+8 x-x^3+8 x^4)^{3/2}} \, dx\) [797]
3.8.98 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+4 x+4 x^2+4 x^4}} \, dx\) [798]
3.8.99 \(\int \genfrac {}{}{}{}{1}{(1+4 x+4 x^2+4 x^4)^{3/2}} \, dx\) [799]
3.8.100 \(\int \genfrac {}{}{}{}{1}{\sqrt {8+24 x+8 x^2-15 x^3+8 x^4}} \, dx\) [800]