Question

Evaluating an integral something like:

Answer 1

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\[\int\limits_{- \infty}^{c} f(x) dx + \int\limits_{c}^{\infty} f(x) dx\]

Answer 2

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.

Answer 3

improper integrals huh

Answer 4

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

Answer 5

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