2007-09-27- More improper integrals

We can use any (finite) number, c, to define, so suppose we were trying to integrate from -infinity to infinity, how are we going to write that as a limit? Basically you split it up into two limits so that you have a constant for one limit of both of the integrals. If either one of them diverges, or both of them, then it diverges. If either or both of the new integrals diverge, the origianl integral diverges. If they both converge, then you add what they converge to, and that's what the original integral converges to.

When the integrand becomes infinite, and there's no infinity as the limits to integration, you'll still have to take the limit.