# Several Integrals

1. Mar 25, 2008

### noblerare

1. The problem statement, all variables and given/known data
$$\int$$$$\frac{xdx}{\sqrt{1-x}}$$

2. Relevant equations

n/a

3. The attempt at a solution
I tried to multiple top and bottom by the conjugate:
$$\int$$$$\frac{x\sqrt{1+x}dx}{\sqrt{1-x^{2}}}$$

I tried trig substitution and u-substitution, but nothing seems to work.

I end up with -$$\int$$cos$$\theta$$$$\sqrt{1+cos\theta}$$

Can anyone help me out on this? And show steps, please? Thanks so much!

2. Mar 25, 2008

### nicksauce

If you make a substitution u = 1-x (then x = 1-u), you now have the sum of two trivial integrals.

3. Mar 25, 2008

### noblerare

thank you so much! oh, and sorry about the double post