how do I do this integral?

Question

Integral sign = I

Ie^X^2dx

I 2
I X
IE dx

??

Thank you!

(If the answer is wierd, please explain it!!!)

Answer 1

The integral of e^(x^2) dx does not have a closed form.
It has to be integrated numerically.

Answer 2

The first integral is a called a gaussian. You can look for hints and such about this integral on mathworld. The indefinite integral cannot be expressed by sines and cosines, but the definite integral from -inf to +inf is a standard problem you can find solved. I dont understand why you listed those other integrals... you shouldnt need help with them.