# Integrate the function e^(x^2)

## Homework Statement

Integrate the function e^(-x^2) with definite integrals -infinity to X

## 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...

## Answers and Replies

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Gib Z
Homework Helper

## Homework Statement

Integrate the function e^(-x^2) with definite integrals -infinity to X
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.