Question

What is the integral of e^(x^2)

Answer 1

It's the error function (also called the Gauss error function) It is defined as:

erf(x) = (2/√π)∫ (from 0 to x) e^(-t^2) dt

----> ∫ (from 0 to x) e^(-t^2) dt =[ (√π)erf(x)]/2

http://mathworld.wolfram.com/Erf.html

Answer 2

Is this a localised or indefinite integral?

Answer 3

indefinite

Answer 4

http://www.wolframalpha.com/input/?i=integrate+e%5E(x%5E2)&t=sftb01

Answer 5

I guess the problem is that we don't have a definition for integration

Answer 6

http://en.wikipedia.org/wiki/List_of_integrals_of_exponential_functions

Answer 7

This should be able to help.

Answer 8

Isn't the erf just for things like e^-x^2 and not e^x^2?

Answer 9

Yeah apparently so,I still have to understand what it really is

Answer 10

Well, just above the erf on the wiki site, I think there's your answer.