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
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?