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

  1. Mar 17, 2007 #1
    How can I integrate 2x^2*exp(x^3)?

    exp(x^3) has no elementary antiderivative, does it?
     
  2. jcsd
  3. Mar 17, 2007 #2
    Yes, you can integrate [tex]\int 2x^{2} e^{x^{3}} dx[/tex] by parts.
     
  4. Mar 17, 2007 #3

    VietDao29

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    Homework Helper

    No, we don't integrate that expression by part. o:)
    A simple u-substitution should work, let u = x3, and see if you can continue from there. :)
     
  5. Mar 17, 2007 #4
    My apologies. :) I didn't look at the x^2 term that well.
     
  6. Mar 18, 2007 #5
    Try d/dx (e^[x^3])
     
  7. Mar 18, 2007 #6

    JasonRox

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    Homework Helper
    Gold Member

    Could you imagine doing that by parts!?

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