My question is about this integral:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int\sqrt{\tan (x)}dx[/tex]

After using the substitution, u^{2}= tan(x), I got,

[tex]2\int\frac{u^2}{u^4 + 1}du = 2\int\frac{u^2}{\left(u^2 + \sqrt{2}u + 1\right)\left(u^2 - \sqrt{2}u + 1\right)}du[/tex]

Next, I tried the partial fraction expansion. But it turned pretty ugly. Is there any easier way of doing it?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Integral of sqrt(tan x)

Loading...

Similar Threads - Integral sqrt | Date |
---|---|

I Integrating sqrt(1+x^2) | Jan 23, 2017 |

I Integrating sqrt(x) cos(sqrt(x)) dx | Dec 18, 2016 |

Integration of sqrt(x^2-9)/x | May 21, 2016 |

Impossible Integration involving cosx/sqrt(a-bcosx) | Jan 22, 2016 |

What is the integral of sqrt(ln(x)) | Apr 13, 2015 |

**Physics Forums - The Fusion of Science and Community**