# Math Help - solve this integral

1. ## solve this integral

Hi, i need to integrate

[x^(n+1)]/(1-x) dx.

i cant find it in any sort of table, or trig sub doesnt work, parts is messy too.

thanks.

2. Originally Posted by lauren2988
Hi, i need to integrate

[x^(n+1)]/(1-x) dx.

i cant find it in any sort of table, or trig sub doesnt work, parts is messy too.

thanks.

after some long division ...

$\frac{x^{n+1}}{1-x} = \frac{1}{1-x} - x^n - x^{n-1} - x^{n-2} - ... - x^3 - x^2 - x - 1$