# Several Integrals

1. Homework Statement
$$\int$$$$\frac{xdx}{\sqrt{1-x}}$$

2. Homework 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!