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Homework Help: How do you solve the double integral

  1. Aug 11, 2008 #1
    1. The problem statement, all variables and given/known data
    How do you solve the double integral of cos(u/v) dudv, if the limits of u are v and -v, and the limits of v are 1 and 2?

    I tried doing it by parts but I didn't get it...
     
  2. jcsd
  3. Aug 11, 2008 #2
    Re: Integral

    what so tough about it?

    int {v = 1 to 2}{u=-v to v} cos(u/v) du.dv

    treat v as constant and integrate cos, put the limits in (get something like sin(1) ) ..

    I did really quickly and had something like 3 sin(1)

    P.S. are you using glyn james .. ?
     
  4. Aug 11, 2008 #3
    Re: Integral

    If I integrate cos first and treat v as a constant, then I get v(sin(u/v))...isn't that messy? Can you show me what you did or explain it further please?

    And I am using Stewart's calc, not glyn
     
  5. Aug 11, 2008 #4
    Re: Integral

    it goes from -v to v

    so

    v (sin(v/v)-sin(-v/v))
     
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