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Integration Floor function

  1. Feb 23, 2012 #1
    I was going through a book
    Which had this question
    ∫ x^2 d[x] from -5 to 7

    Which means integration wrt to greatest integer function of x
    Any idea on how to go about it
     
  2. jcsd
  3. Feb 23, 2012 #2
    d[x]=Ʃ_n δ(x-n) dx as far as I can see it ... or maybe integration by parts is less ambiguous
     
    Last edited: Feb 23, 2012
  4. Feb 23, 2012 #3
    Can you please explain more
     
  5. Feb 24, 2012 #4
    ∫xdy=xy-∫ydx, you can move [x] into the integrand
     
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