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Homework Help: Line integral

  1. Aug 14, 2008 #1
    1. The problem statement, all variables and given/known data

    Hey.
    I need to use Green's theorem in order to solve this integral.
    My question is, how can I find the area for the Green's theorem integral?

    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Aug 14, 2008 #2

    HallsofIvy

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    Science Advisor

    If x= sin t cos t and y= sin2 t, then x2+ y2= sin2tcos2t+ sin4t= sin2 t(cos2 t+ sin2t)= sin2(t)= y so the equation, in Cartesian coordinates, is x2+ y2- y= 0. Complete the square and you can see that is a circle.
     
    Last edited by a moderator: Aug 15, 2008
  4. Aug 15, 2008 #3
    thanks.
     
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