Math Help - Antidifferentation with a negative exponent help

1. Antidifferentation with a negative exponent help

I need help trying to antidifferentiate a variable x raised to the negative 1st power. When i try to antidifferentiate i get (X^0)/0, which does not differentiate back into x^-1. It is not for a problem, but for my own knowledge.

2. Originally Posted by gamefreeze
I need help trying to antidifferentiate a variable x raised to the negative 1st power. When i try to antidifferentiate i get (X^0)/0, which does not differentiate back into x^-1. It is not for a problem, but for my own knowledge.
$x^{-1}$ is a special case and is equal to ln|x|.

$\int \,x^{-1}\,dx = ln|x| + C$

3. ah, thanks a lot. it just slipped my mind