# Simplifying 1/x(1-x) for integration

1. Jun 3, 2009

### bitrex

I'm looking at an equation where the integral of 1/x(1-x) is being taken, and it has been simplified to the integral of 1/x + 1/(1-x). I guess my brain has locked up on this one, because I can't see how the first equation was simplified to the second one. Can anyone point out what I'm missing? Thanks!

2. Jun 3, 2009

### rock.freak667

Partial fractions

$$\frac{1}{x(1-x)}=\frac{A}{x}+\frac{B}{1-x}$$

3. Jun 3, 2009

Thank you!