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**[SOLVED] Several Integrals**

**1. Homework Statement**

[tex]\int[/tex][tex]\frac{xdx}{\sqrt{1-x}}[/tex]

**2. Homework Equations**

n/a

**3. The Attempt at a Solution**

I tried to multiple top and bottom by the conjugate:

[tex]\int[/tex][tex]\frac{x\sqrt{1+x}dx}{\sqrt{1-x^{2}}}[/tex]

After trig substitution, I end up with:

-[tex]\int[/tex]cos[tex]\theta[/tex][tex]\sqrt{1+cos\theta}[/tex]d[tex]\theta[/tex]

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!