Integrate e^((x^3)/2)

How do I start? I know that the integral of e^x is just e^x plus C, but what do I do with the ((x^3)/2)? Thanks!

good luck on this. You sure there's no typo?

If you had ∫x^2 e^(x^3/2) dx that would be fine, since that would be very much like e^u du. But without that factor out front, this is not an elementary integral.