# Math Help - integral

1. ## integral

does anyone know how to find the integral of:

e^(x^2)

2. Originally Posted by cdlegendary
does anyone know how to find the integral of:

e^(x^2)
the antiderivative of $\int e^{x^2} \, dx$ does not have an elementary, closed-form solution.

3. Originally Posted by skeeter
the antiderivative of $\int e^{x^2} \, dx$ does not have an elementary, closed-form solution.
ah, so if the interval is from 0 to 1, would there be a solution?

4. Originally Posted by cdlegendary
ah, so if the interval is from 0 to 1, would there be a solution?
no, but you can estimate the value of the definite integral using the series representation for $e^u$

5. Its not an elementary function as skeeter said.
You can do it as an infinite series.
Since: $e^{\left(x^2\right)}=\sum_{n=0}^{\infty} \frac{x^{2n}}{n!}$.