Improper Integral

1. Oct 8, 2013

Jbreezy

1. The problem statement, all variables and given/known data
It just wants me to tell whether this is improper or not.
[0,infinity] e^(-x^3) dx

2. Relevant equations

I say Yes
3. The attempt at a solution

2. Oct 8, 2013

haruspex

I don't see why it would be improper. What's your reasoning?

3. Oct 8, 2013

Jbreezy

I'm not 100 percent sure. I said yes because I think it keeps going it's domain is all real.

4. Oct 8, 2013

Ray Vickson

What definition of "improper integral" are you using?

5. Oct 8, 2013

Staff: Mentor

I would call this integral --
$$\int_0^{\infty}e^{-x^3}dx$$
-- improper, because of the upper limit of integration.

6. Oct 8, 2013

Jbreezy

I'm just using the def in stewart calc. I think it is improper thanks.