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Double integral with absolute value of x-y

  1. Aug 4, 2004 #1
    int(int(abs(x-y)*6*x^2*y)) the range of x and y are 0,1. Normally i'd check to split it up and change the limits, but i think my brain is broken cuz i'm not seeing it at the moment.

    simple question that i need to know how to do for stats without using maple :P
     
  2. jcsd
  3. Aug 4, 2004 #2

    Hurkyl

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    Well, try restating what you're trying to do. You're specifically interested in breaking things up based on |x - y|, so consider that all by itself... what are the pieces? How do you identify which piece a point is in?
     
  4. Aug 4, 2004 #3
    edit: I think i got it now. I plotted the abs function in 3d in maple. that helped.

    Lol, why did i double it again? I should have just added both parts!!!!


    Code (Text):


    > int(int(abs(x-y)*6*x^2*y,x=0..1),y=0..1);
    * * * * * * * * * * * * * * * 1
    * * * * * * * * * * * * * * * -
    * * * * * * * * * * * * * * * 4
    > int(int((x-y)*6*x^2*y,y=0..x),x=0..1);
    * * * * * * * * * * * * * * * 1
    * * * * * * * * * * * * * * * -
    * * * * * * * * * * * * * * * 6
    > int(int((y-x)*6*x^2*y,x=0..y),y=0..1);
    * * * * * * * * * * * * * * * 1
    * * * * * * * * * * * * * * * --
    * * * * * * * * * * * * * * * 12
     
     
    Last edited: Aug 4, 2004
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