Intergrate e^x^2

1. Sep 5, 2005

alamin

well, need help..lol

Intergrate e^x^2

any help:college level

Thanks

2. Sep 5, 2005

LeonhardEuler

That can not be done. There is no elementary function whose derivative is $e^{x^2}$. There is a special function, erf(z) defined by:
$$erf(z)=\frac{2}{\sqrt{\pi}} \int_{0}^{z} e^{t^2}dt$$
Is that the full question, or was it a definite integral? There are special tricks to finding certain definite integrals of this function.

3. Sep 5, 2005

Theoretician

Just to add: 'Integration' not 'intergration'.