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Improper Integral

  1. Oct 8, 2013 #1
    1. The problem statement, all variables and given/known data
    It just wants me to tell whether this is improper or not.
    [0,infinity] e^(-x^3) dx

    2. Relevant equations


    I say Yes
    3. The attempt at a solution
     
  2. jcsd
  3. Oct 8, 2013 #2

    haruspex

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    I don't see why it would be improper. What's your reasoning?
     
  4. Oct 8, 2013 #3
    I'm not 100 percent sure. I said yes because I think it keeps going it's domain is all real.
     
  5. Oct 8, 2013 #4

    Ray Vickson

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    What definition of "improper integral" are you using?
     
  6. Oct 8, 2013 #5

    Mark44

    Staff: Mentor

    I would call this integral --
    $$\int_0^{\infty}e^{-x^3}dx$$
    -- improper, because of the upper limit of integration.
     
  7. Oct 8, 2013 #6
    I'm just using the def in stewart calc. I think it is improper thanks.
     
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