Help with trigonometric integration problem

[stonecoldgen]

The problem is to find \int(cos⁵x)/(\sqrt{sinx})

I rewrote cos⁵x as cosx(1-sin²x)², finally getting:

(cosx-2cosxsin²x+cosxsin⁴x)/\sqrt{sinx}

and I don't even know if this is the correct path, so, any advice would be appreciated.

 

[rock.freak667]

Re-write your integral replacing cos⁵x with what you have in your second line.

Now if you put t=sinx, what is dt?

 

[stonecoldgen]

Re-write your integral replacing cos⁵x with what you have in your second line.

Now if you put t=sinx, what is dt?

Thanks! I have the answer!