# Integral involving e^(x^2)

1. Sep 28, 2008

### ep10

i am solving a problem that involves taking the integral of an exponential to the power of -x^2. I would have no problem solving this integral if the limits were 0 to infinity but the limits i am solving for are an arbitrary a to infinity. Can anybody help?

2. Sep 28, 2008

### Tac-Tics

Sounds like a gaussian function:
http://en.wikipedia.org/wiki/Normal_distribution

The anti-derivative is the error function, which is nonelementary.

3. Sep 28, 2008

### ep10

that verifies what i was thinking but i am still having trouble going about solving it. I think I am just not sure where to start. Thanks though at least I know I am not completely off track

4. Sep 29, 2008

### D H

Staff Emeritus
You can't solve it, in terms of elementary functions, that is. As Tac-Tics already said, the error function is non-elementary.