1. ## Converging integrals

Define what is meant by saying that the integral converges.

2. Originally Posted by matty888
Define what is meant by saying that the integral converges.
That means it has a finite value. (Note: I am considering 0 to be a finite value. Some don't.)

-Dan

3. It means that both of the limits $\lim_{X\to\infty}\int_{-X}^0f(x)dx$ and $\lim_{X\to\infty}\int_0^X\!\!f(x)dx$ exist (and then $\int_{-\infty}^{\infty}f(x)dx$ is defined to be the sum of those limits).