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

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. :)

 

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

 

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

 

Could you imagine doing that by parts!?

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