definite integral of un-antidifferentiable function

[fri-guy]

Help. I'm studying for a calc test and one of the practice problems is:

Find F(1), where F'(x) = e^(-x^2) and F(0) = 2.

I know that the function e^(-x^2) doesn't have a defined antiderivative, so how do I go about solving this problem?
Thanks!

 

[Deleted member 4993]

Help. I'm studying for a calc test and one of the practice problems is:

Find F(1), where F'(x) = e^(-x^2) and F(0) = 2.

I know that the function e^(-x^2) doesn't have a defined antiderivative, so how do I go about solving this problem?
Thanks!

Have you studied "error function [erf(x)]"?

There are tabular values available for this integral (or use wolfram_alfa).