Integrate the function e^(x^2)

1. Mar 19, 2007

lost_math

1. The problem statement, all variables and given/known data
Integrate the function e^(-x^2) with definite integrals -infinity to X

2. Relevant equations

3. The attempt at a solution

I know that the indefinite integral of this reduces to sqrt(pi), but dont know what to do with the definite integral. Is this a known result that I can simply plug in and use?What kind of substitution can I try? FYI- this is a variation of the CDF for a normally distributed function...

2. Mar 19, 2007

Gib Z

Impossible in terms of elementary functions. Why not look up the error function though?

EDIT: is X independent of x? I am unclear with your notation.