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Greens Theorem

  1. Jul 16, 2012 #1
    1. The problem statement, all variables and given/known data

    Calculate [itex]\oint _c xdy-ydx [/itex] where C is the straight line segment from[itex] (x_1 , y_1) to (x_2 , y_2)[/itex]

    2. Relevant equations



    3. The attempt at a solution

    so from Greens theorem I get [itex]\oint _c xdy-ydx [/itex] = [itex]\int\int \frac{\partial x}{\partial x} + \frac{\partial y}{\partial y} dxdy[/itex]

    =2 [itex]\int^{x_2}_{x_1}\int^{y_2}_{y_1} dydx[/itex]
    =2[[itex](y_2 - y_1)(x_2 - x_1)[/itex] ]
     
    Last edited: Jul 16, 2012
  2. jcsd
  3. Jul 16, 2012 #2

    LCKurtz

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    For Green's theorem you need a line integral along a curve which encloses an area. You don't have that so Green's theorem has nothing to do with this problem. Just work the line integral itself out.
     
  4. Jul 16, 2012 #3
    Hi LCkutz,
    Aghhh so he threw it in as a trick question into the greens theorem section. Sneeky!
    Thanks LC
     
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