# Partial fraction question

• Nov 18th 2009, 09:59 PM
xcluded
Partial fraction question
$\int \frac{1}{\sqrt{x}(1-\sqrt{x})}$

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

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

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

(Worried)

• Nov 18th 2009, 10:12 PM
Drexel28
Quote:

Originally Posted by xcluded
$\int \frac{1}{\sqrt{x}(1-\sqrt{x})}$

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

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

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

(Worried)

Try letting $z^2=x$. You might be pleasantly surprised.