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Homework Help: Need help figuring out limits of double integral

  1. Jul 21, 2008 #1
    1. The problem statement, all variables and given/known data
    Apply Green's Theorem to evaluate this integral:

    Integral of: (6y + x) dx + (y + 2x) dy
    over the curve C, where C is: The circle (x - 2)^2 + (y - 3)^2 = 4

    2. Relevant equations

    3. The attempt at a solution
    To use Green's Theorem for this I would need to figure out the x and y limits of integration. With order of integration dx dy, I can see that 1 <= y <= 5. However I can't seem to figure out what the x limits would be. I've done similar problems except with a simpler circle centered at origin, so I'm sure this can't be that much more complicated..I'm just not getting it for some reason. Any suggestions?
  2. jcsd
  3. Jul 22, 2008 #2


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    Homework Helper

    Well you have the equation of the circle. Use that to find an expression for x.
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