Antiderivative of $e^{x^3}$

Question

How can I find the antiderivative of $e^{x^3}$?

Basically, I am new to calculus. I hope it is reasonable to make a post here. Thanks!

Answer 1

I am sorry to tell you that there is no simple antiderivative for this expression. You have to do it in numerical methods such as Taylor series.

Answer 2

Notice it has a similar format as $e^{x^2}$, for which no antiderivative exists.