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

kasse · Mar 17, 2007

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

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

z-component · Mar 17, 2007

Yes, you can integrate [tex]\int 2x^{2} e^{x^{3}} dx[/tex] by parts.

VietDao29 · Mar 17, 2007

z-component said: ↑

Yes, you can integrate [tex]\int 2x^{2} e^{x^{3}} dx[/tex] by parts.

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. :)

z-component · Mar 17, 2007

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

christianjb · Mar 18, 2007

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

JasonRox · Mar 18, 2007

Could you imagine doing that by parts!?

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