I need to integrate with direct integration method

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

I do get $\displaystyle d(x-x^2)=1-2x d(x-x^2)$ then $\displaystyle \int\frac{\arcsin \sqrt x}{(x - x^2)^\frac{1}{2}}\frac{1}{1-2x}\d(x-x^2)=$ and that where my brains stop, I don't know what to to with that $\displaystyle \arcsin \sqrt x$