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Homework Help: Green's Theorem and a triangle

  1. Aug 2, 2010 #1
    1. The problem statement, all variables and given/known data
    Use Green's Theorem to evaluate ∫F*dr.
    (Check the orientation of the curve before you applying the theorem.)

    F(x,y)=<y2cos(x), x2+2ysin(x)>

    C is the triangle from (0,0) to (2,6) to (2,0) to (0,0)

    *=dot product
    2. Relevant equations

    Green's Theorem

    3. The attempt at a solution

    -∫∫2x+2ycos(x)-2ycos(x) dydx= -∫∫[tex]_{D}[/tex] 2x dydx

    D={0[tex]\leq[/tex]y[tex]\leq[/tex]3x, and 0[tex]\leq[/tex]x[tex]\leq[/tex]2)

    I put the negative out front because the problem goes from point to point in a clockwise direction. Is this set up correct?
    Thank you for your time.
     
  2. jcsd
  3. Aug 3, 2010 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Looks ok to me.
     
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