How to integrate sinx/(1+sinx)

1. Jul 3, 2012

mathnoobie

1. The problem statement, all variables and given/known data
As stated in the title.

2. Relevant equations
No equations

3. The attempt at a solution
Honestly, I'm stuck. I have no idea where to go. My only thought is to multiply the top and bottom by sinx but where would that get me?

2. Jul 4, 2012

antibrane

I agree you should multiply the denominator and numerator by some quantity. As a hint, it might be useful to consider that $1-\sin^2x=\cos^2 x$.

3. Jul 4, 2012

mathnoobie

Yes, I did that, and am confused where to go from there.

4. Jul 4, 2012

iRaid

Multiple the top and bottom by sin2x

5. Jul 4, 2012

mathnoobie

Solved it. Multiplied the top and bottom by the Pythagorean Conjugate.