How can I integrate 2x^2*exp(x^3)?

1. Mar 17, 2007

kasse

How can I integrate 2x^2*exp(x^3)?

exp(x^3) has no elementary antiderivative, does it?

2. Mar 17, 2007

z-component

Yes, you can integrate $$\int 2x^{2} e^{x^{3}} dx$$ by parts.

3. Mar 17, 2007

VietDao29

No, we don't integrate that expression by part.
A simple u-substitution should work, let u = x3, and see if you can continue from there. :)

4. Mar 17, 2007

z-component

My apologies. :) I didn't look at the x^2 term that well.

5. Mar 18, 2007

christianjb

Try d/dx (e^[x^3])

6. Mar 18, 2007

JasonRox

Could you imagine doing that by parts!?

It would take two steps, and be all long. Oh boy.