$\displaystyle \int \frac{1}{\sqrt{x}(1-\sqrt{x})}$

= $\displaystyle \frac{A}{x} + \frac{B}{\sqrt{x}} + \frac{C}{1-\sqrt{x}}$

$\displaystyle 1 = Ax(1-\sqrt{x}) + B(1-\sqrt{x}) + C\sqrt{x}$

Is is correct ? I couldn't get A though.

Thanks in advance.