# Math Help - Partial fraction question

1. ## 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.

Thanks in advance.

2. 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.

Thanks in advance.
A) partial fractions is done with rational functions. Where the numerator and denominator are polynomials...this is not one of those.

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