integrate sqrt(tan x)

I substituted tan x = u^2

then i got x = arc tan u^2

By substituting i got 2u^2/(1+u^4)

now what????

Printable View

- Jan 1st 2010, 03:53 AMBeenishPlz tell me how to integrate this
integrate sqrt(tan x)

I substituted tan x = u^2

then i got x = arc tan u^2

By substituting i got 2u^2/(1+u^4)

now what???? - Jan 1st 2010, 04:12 AMmr fantastic
Now use partial fractions. Note that

and these two quadratics are irreducible. The ensuing algebra is your pleasant job to do.

Of interest: integrate Sqrt[Tan[x]] - Wolfram|Alpha

(Be sure to click on Show steps). - Jan 3rd 2010, 12:17 AMsimplependulum

Recall the formulae

- Jan 3rd 2010, 11:25 PMBeenishThank u
Thanx a lot. It was very helpful answer.