## anonymous 3 years ago Evaluating an integral something like:

1. anonymous

as long as f(x) is continuous and differentiable, $\int\limits_{- \infty}^{\infty}f(x)dx$ is there ever a time we woukd not choose 0 as c in$\int\limits_{- \infty}^{c} f(x) dx + \int\limits_{c}^{\infty} f(x) dx$

2. anonymous

It's possible that a function is not differentiable at multiple points. Then you would continue to break it up like you've show above and take the limit wherever it is discontinuous.

3. anonymous

improper integrals huh

4. anonymous

OK, thanks, that's what I was thinking!

5. anonymous

you can choose 1 as c or whatever...as long it's within -infinity and +infinity