\(\int \genfrac {}{}{}{}{x}{1+\sqrt {x}+x} \, dx\) [301]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} (1+\sqrt {x}+x)^{7/2}} \, dx\) [302]
\(\int \genfrac {}{}{}{}{1}{(1+x)^{2/3} (-1+x^2)^{2/3}} \, dx\) [303]
\(\int ((1-x^6)^{2/3}+\genfrac {}{}{}{}{(1-x^6)^{2/3}}{x^6}) \, dx\) [304]
\(\int \genfrac {}{}{}{}{x^{-1+m} (2 a m+b (2 m-n) x^n)}{2 (a+b x^n)^{3/2}} \, dx\) [305]
\(\int \genfrac {}{}{}{}{x-2 x^3}{\sqrt {2+3 x}} \, dx\) [306]
\(\int \genfrac {}{}{}{}{1}{\sqrt [4]{1+x}+\sqrt {1+x}} \, dx\) [307]
\(\int \genfrac {}{}{}{}{1+2 x}{\sqrt {x+x^2}} \, dx\) [308]
\(\int \genfrac {}{}{}{}{1}{2 \sqrt {x} (1+x)} \, dx\) [309]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {6 x-x^2}} \, dx\) [310]
\(\int (1+\sqrt {x}) \sqrt {x} \, dx\) [311]
\(\int \genfrac {}{}{}{}{1-\sqrt {x}}{\sqrt [3]{x}} \, dx\) [312]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{1+\sqrt [3]{x}} \, dx\) [313]
\(\int \genfrac {}{}{}{}{\sqrt [3]{1+\sqrt {x}}}{x} \, dx\) [314]
\(\int \genfrac {}{}{}{}{1}{\sqrt {(a+b x) (c+d x)}} \, dx\) [315]
\(\int \genfrac {}{}{}{}{1}{\sqrt {(a+b x) (c-d x)}} \, dx\) [316]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} (1-x^2)} \, dx\) [317]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{x-x^3} \, dx\) [318]
\(\int \genfrac {}{}{}{}{x}{2-\sqrt {3}+(1+\sqrt {3}) x+x^2} \, dx\) [319]
\(\int \sqrt {x^2+x^3} \, dx\) [320]
\(\int \genfrac {}{}{}{}{1}{(1+x) \sqrt {2 x+x^2}} \, dx\) [321]
\(\int \sqrt {1-\sqrt {x}-x} \sqrt {x} \, dx\) [322]
\(\int \sqrt [3]{1+\sqrt {-3+x}} \, dx\) [323]
\(\int \genfrac {}{}{}{}{1}{\sqrt {3+\sqrt {-1+2 x}}} \, dx\) [324]
\(\int (\sqrt {x}+x)^{2/3} \, dx\) [325]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{-3 x+x^2}} \, dx\) [326]
\(\int \genfrac {}{}{}{}{\sqrt {1-x}}{1+\sqrt {x}} \, dx\) [327]
\(\int \genfrac {}{}{}{}{\sqrt {1-x}}{1-\sqrt {x}} \, dx\) [328]
\(\int \genfrac {}{}{}{}{x}{x-\sqrt {1+x^2}} \, dx\) [329]
\(\int \genfrac {}{}{}{}{x}{x-\sqrt {1-x^2}} \, dx\) [330]
\(\int \genfrac {}{}{}{}{x}{x-\sqrt {1+2 x^2}} \, dx\) [331]
\(\int \sqrt {x} \sqrt {\sqrt {x}+x} \, dx\) [332]
\(\int \genfrac {}{}{}{}{1+\sqrt [3]{x}}{1+\sqrt {x}} \, dx\) [333]
\(\int \genfrac {}{}{}{}{1+\sqrt [3]{x}}{1+\sqrt [4]{x}} \, dx\) [334]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a x+b x^3}} \, dx\) [335]
\(\int \sqrt {\genfrac {}{}{}{}{1+x}{x}} \, dx\) [336]
\(\int \sqrt {\genfrac {}{}{}{}{1-x}{x}} \, dx\) [337]
\(\int \sqrt {\genfrac {}{}{}{}{-1+x}{x}} \, dx\) [338]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{1+x}{x}}}{x} \, dx\) [339]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{-1-x}{x}}} \, dx\) [340]
\(\int \sqrt {(4-x) x} \, dx\) [341]
\(\int \genfrac {}{}{}{}{1}{\sqrt {(1-x) x}} \, dx\) [342]
\(\int \genfrac {}{}{}{}{x}{(x (2+x))^{3/2}} \, dx\) [343]
\(\int \genfrac {}{}{}{}{\sqrt {1+\genfrac {}{}{}{}{1}{x}}}{1-x^2} \, dx\) [344]
\(\int \genfrac {}{}{}{}{1}{1+\sqrt {5}-x^2+\sqrt {5} x^2} \, dx\) [345]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a x+b x^2}} \, dx\) [346]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x (a+b x)}} \, dx\) [347]
\(\int \genfrac {}{}{}{}{1}{\sqrt {(b+\genfrac {}{}{}{}{a}{x}) x^2}} \, dx\) [348]
\(\int \genfrac {}{}{}{}{1}{\sqrt {(\genfrac {}{}{}{}{a}{x^2}+\genfrac {}{}{}{}{b}{x}) x^3}} \, dx\) [349]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{a x^2+b x^3}{x}}} \, dx\) [350]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{a x^3+b x^4}{x^2}}} \, dx\) [351]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a c x+b c x^2}} \, dx\) [352]
\(\int \genfrac {}{}{}{}{1}{\sqrt {c (a x+b x^2)}} \, dx\) [353]
\(\int \genfrac {}{}{}{}{1}{\sqrt {c x (a+b x)}} \, dx\) [354]
\(\int \genfrac {}{}{}{}{1}{\sqrt {c (b+\genfrac {}{}{}{}{a}{x}) x^2}} \, dx\) [355]
\(\int x \sqrt {(b x+c x^n)^2} \, dx\) [356]
\(\int \sqrt {(b x+c x^n)^2} \, dx\) [357]
\(\int \genfrac {}{}{}{}{\sqrt {(b x+c x^n)^2}}{x} \, dx\) [358]
\(\int \genfrac {}{}{}{}{\sqrt {(b x+c x^n)^2}}{x^2} \, dx\) [359]
\(\int \genfrac {}{}{}{}{\sqrt {(b x+c x^n)^2}}{x^3} \, dx\) [360]
\(\int \sqrt {1-x^2+x \sqrt {-1+x^2}} \, dx\) [361]
\(\int \genfrac {}{}{}{}{\sqrt {-x+\sqrt {x} \sqrt {1+x}}}{\sqrt {1+x}} \, dx\) [362]
\(\int -\genfrac {}{}{}{}{x+2 \sqrt {1+x^2}}{x+x^3+\sqrt {1+x^2}} \, dx\) [363]
\(\int \genfrac {}{}{}{}{1+2 x}{(1+x^2) \sqrt {2+2 x+x^2}} \, dx\) [364]
\(\int \genfrac {}{}{}{}{1}{(1+x^4) \sqrt {-x^2+\sqrt {1+x^4}}} \, dx\) [365]
\(\int \genfrac {}{}{}{}{1}{(a+b x^4) \sqrt {c x^2+d \sqrt {a+b x^4}}} \, dx\) [366]
\(\int \genfrac {}{}{}{}{1}{(a+b x^4) \sqrt {-c x^2+d \sqrt {a+b x^4}}} \, dx\) [367]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b c^4+4 b c^3 d x+6 b c^2 d^2 x^2+4 b c d^3 x^3+b d^4 x^4}} \, dx\) [368]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b c^4+4 b c^3 d x+6 b c^2 d^2 x^2+4 b c d^3 x^3+b d^4 x^4}} \, dx\) [369]
\(\int \genfrac {}{}{}{}{1}{\sqrt {5-2 x+x^2} (8+x^3)} \, dx\) [370]
\(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x \sqrt {-\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}}}}{x \sqrt {-\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}}} \, dx\) [371]
\(\int \genfrac {}{}{}{}{\sqrt {-a x^2+b x \sqrt {\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}}}}{x \sqrt {\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}}} \, dx\) [372]
\(\int \genfrac {}{}{}{}{\sqrt {x (a x+b \sqrt {-\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}})}}{x \sqrt {-\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}}} \, dx\) [373]
\(\int \genfrac {}{}{}{}{\sqrt {x (-a x+b \sqrt {\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}})}}{x \sqrt {\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}}} \, dx\) [374]
\(\int \genfrac {}{}{}{}{-\sqrt {-4+x}-4 \sqrt {-1+x}+\sqrt {-4+x} x+\sqrt {-1+x} x}{(1+\sqrt {-4+x}+\sqrt {-1+x}) (4-5 x+x^2)} \, dx\) [375]
\(\int \genfrac {}{}{}{}{1}{x (3+3 x+x^2) \sqrt [3]{3+3 x+3 x^2+x^3}} \, dx\) [376]
\(\int \genfrac {}{}{}{}{1-x^2}{(1-x+x^2) (1-x^3)^{2/3}} \, dx\) [377]
\(\int (1+x+x^2+x^3)^{-n} (1-x^4)^n \, dx\) [378]
\(\int \genfrac {}{}{}{}{x^m (c+d x) (1+(-1-k) x+k x^2)^p}{a+b x} \, dx\) [379]
\(\int \genfrac {}{}{}{}{x^m (c+d x) ((-1+x) (-1+k x))^p}{(a+b x)^2} \, dx\) [380]
\(\int x^2 (x+\genfrac {}{}{}{}{1-x^2}{1+x}) \, dx\) [381]
\(\int x (x+\genfrac {}{}{}{}{1-x^2}{1+x}) \, dx\) [382]
\(\int (x+\genfrac {}{}{}{}{1-x^2}{1+x}) \, dx\) [383]
\(\int \genfrac {}{}{}{}{x+\genfrac {}{}{}{}{1-x^2}{1+x}}{x} \, dx\) [384]
\(\int \genfrac {}{}{}{}{x+\genfrac {}{}{}{}{1-x^2}{1+x}}{x^2} \, dx\) [385]
\(\int \genfrac {}{}{}{}{x+\genfrac {}{}{}{}{1-x^2}{1+x}}{x^3} \, dx\) [386]
\(\int \genfrac {}{}{}{}{x}{1+x \sqrt {1-x^2}} \, dx\) [387]
\(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{1}{x}+\sqrt {1-x^2}} \, dx\) [388]
\(\int \genfrac {}{}{}{}{x \sqrt {1-x^2}}{x-x^3+\sqrt {1-x^2}} \, dx\) [389]
\(\int \genfrac {}{}{}{}{\sqrt {x+\sqrt {1+x^2}}}{(1+x) \sqrt {1+x^2}} \, dx\) [390]
\(\int \genfrac {}{}{}{}{\sqrt {x+\sqrt {1+x^2}}}{(1-x) \sqrt {1+x^2}} \, dx\) [391]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{-2 x^2+x^4}{(1-x^2)^2}}}{2-x^2} \, dx\) [392]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{-2 x^2+x^4}{(-1+x^2)^2}}}{2-x^2} \, dx\) [393]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{-2 x^2+x^4}{(1-x^2)^2}}}{2+x^2} \, dx\) [394]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{-2 x^2+x^4}{(-1+x^2)^2}}}{2+x^2} \, dx\) [395]
\(\int \genfrac {}{}{}{}{(1-x) (4-x)}{(5-\genfrac {}{}{}{}{4}{x})^{3/2} (-2+x) x^2} \, dx\) [396]
\(\int \genfrac {}{}{}{}{\sqrt {\genfrac {}{}{}{}{x}{(1+x)^2}}}{x} \, dx\) [397]
\(\int \sqrt {\genfrac {}{}{}{}{x}{(1+x)^2}} \, dx\) [398]