Question

What is the antiderivative of `e^(x^2)`?

Answer 1

There is no closed form expression for the antiderivative of `e^(x^2)`.

Explanation:

The andtiderivative cannot be expressed by a finite algebraic expression involving algebraic operations, trigonometric functions and exponential and logarithmic functions

Here is a link to Wikipedia on closed forms:
https://en.wikipedia.org/wiki/Closed-form_expression

And here is a link to Wolfram Math World
http://mathworld.wolfram.com/Closed-FormSolution.html