need help finding the integral of 1 / [x^1/2(1+x)] dx

[Lizzy]

I need some help with finding the integral of 1 / [x^1/2(1+x)] dx

I really need help understanding integrals. I'm getting tested every week on six integrals that are pretty tough to work out. Please I need the most help I can get.
Thanks!!!
___________________________________
Edited by stapel -- Reason for edit: putting Q inside post

 

[galactus]

Please don't leave your problem in the title. It may get overlooked.

Is this it?:

\(\displaystyle \L\\\int\frac{1}{\sqrt{x}(1+x)}dx\)

A similar problem just arose.

Let \(\displaystyle u=\sqrt{x} \;\ and \;\ du=\frac{1}{2\sqrt{x}}dx \;\ and \;\ x=u^{2}\)

I see an arctan coming along soon.