How to Integrate (Tanx)^(1/2)?

[1373828]

Homework Statement

hey guys.
im from Iran and i can't speak En professionally.
I have a question about integral and it is integral of (Tanx)^(1/2).
my calculation took several hours but I did not have any progres in the calculation.
Would someone help me to solve this math problem?
Thanks.

Homework Equations

(tanx)^(1/2)

The Attempt at a Solution

integral of (Tanx)^(1/2)

 

[conquest]

Hey,

Can you maybe specify your domain of integration and also show some of the work you have already done.

 

[jedishrfu]

Try setting u=sqrt(tan x) and integrating with respect to u

 

[1373828]

can u explain how to solve the problem after setting u=tanx and du=(1+tanx^2)du?

 

[jedishrfu]

No I said try u=sqrt(tan x) so that u^2 = tan x

Can you show some work? we don't know what you've tried and we don't know your level of understanding.

 

[1373828]

and after u^2=tan x as usual Distinguish from Equality?
and by it can i solve this problem?

 

[dextercioby]

This integral is horrendously tedious. It might help to know that $x^4 + 1 = (x^2+1)^2- (x\sqrt{2})^2$