What is the integral of

e^(-x^3)? I initially tried some methods and quickly realized that they wouldn't solve the problem.

The indefinite integral of e^(-x^3) cannot be expressed as an elementary function, so basically that's why you aren't able to integrate it like you would ∫e^(-x) dx.

Here's the address of the integral in terms of the incomplete gamma function: http://www.wolframalpha.com/input/?i=e^%…

And here's the address for information about the incomplete gamma function: http://mathworld.wolfram.com/IncompleteG…

Let u=x^3

So it is to be e^-u

This becomes 1/e^u.

Integrate.

It becomes ln(e^u)

ln(e^(x^3))