# Math Help - Undefined or zero integral

1. ## Undefined or zero integral

Hi
Hi
I would like to know what is ∫1/x^2-∫1/x^2 from 0 to 2.is it zero or undefined meaning that it is infinity ? (because each integral is undefined at zero).

2. ## Re: Undefined or zero integral

That is undefined because the two separate integrals are undefined. The theorem that $\int f- g dx= \int f dx- \int g dx$ only holds if the two integrals on the right are defined which does not apply here.