Hey everyone. I am having trouble with this problem:

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

I can only use substitution to do this. I have no idea what to do. I tried rewriting it in to something that looks integrable using substitution but everything has failed. Here are some of my attempts at rewriting it:

$\displaystyle \sqrt{\frac{x^4}{1-x}}$

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

$\displaystyle \frac{x^2\sqrt{1-x}}{1-x}$

$\displaystyle \frac{\sqrt{x^4-x^5}}{1-x}$

And non of them are integrable by substitution in my eyes. Can someone help me out?

Thanks in advance!