# Several Integrals

[SOLVED] 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:

$$\int$$$$\frac{x\sqrt{1+x}dx}{\sqrt{1-x^{2}}}$$

After trig substitution, I end up with:

-$$\int$$cos$$\theta$$$$\sqrt{1+cos\theta}$$d$$\theta$$

I've also tried u-substitution but nothing seems to work.

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