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Homework Help: Impossible Double Integral

  1. Jun 9, 2010 #1
    1. The problem statement, all variables and given/known data

    Eveluate by reversing order of integration

    [tex]\int^{2}_{0}\int^{1}_{y/2} ye^{x^3}dxdy[/tex]

    2. Relevant equations


    3. The attempt at a solution

    this is what I got...

    [tex]\int^{1}_{0}\int^{2x}_{0} ye^{x^3}dydx[/tex]

    I end up with...

    [tex]\int^{1}_{0} 2x^2e^{x^3}dx[/tex]

    I don't know how to integrate this.... any tips? thanks
     
  2. jcsd
  3. Jun 9, 2010 #2

    lanedance

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    Homework Helper

    almost there - try a substitution
     
  4. Jun 9, 2010 #3
    I'm sorry for being so slow... But I'm not sure what to substitute? Thanks
     
  5. Jun 9, 2010 #4

    gabbagabbahey

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    Homework Helper
    Gold Member

    Well, you probably know how to integrate [itex]e^u du[/itex], so maybe try the substitution [itex]u=x^3[/itex] and see what happens.:wink:
     
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