Thread: 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).

That is undefined because the two separate integrals are undefined. The theorem that only holds if the two integrals on the right are defined which does not apply here.