How to integrate sinx/(1+sinx)

[mathnoobie]

Homework Statement

As stated in the title.

Homework Equations

No equations

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?

 

[antibrane]

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

 

[mathnoobie]

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

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

 

[iRaid]

Multiple the top and bottom by sin²x

 

[mathnoobie]

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