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

[kasse]

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

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

 

[z-component]

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

 

[VietDao29]

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

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

 

[christianjb]

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

 

[JasonRox]

Could you imagine doing that by parts!?

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