# Integral of (Tanx)^(1/2)

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1. Nov 18, 2014

### 1373828

• New member warned about not including an effort
1. The problem statement, all variables and given/known data
hey guys.
im from Iran and i cant 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.
2. Relevant equations
(tanx)^(1/2)
3. The attempt at a solution
integral of (Tanx)^(1/2)

2. Nov 18, 2014

### conquest

Hey,

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

3. Nov 18, 2014

### Staff: Mentor

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

4. Nov 18, 2014

### 1373828

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

5. Nov 18, 2014

### Staff: Mentor

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.

6. Nov 18, 2014

### 1373828

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

7. Nov 18, 2014

### dextercioby

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