Use Green's THM to calculate the line integral ∫C(F<dot> dx), where C is the circle (x-2)2 + (y - 3)2=1 oriented counterclockwise, and F(x,y)=(y+ln(x2+y2), 2tan-1(x/y)). Green's THM ∫∂SF<dot>dx=∫∫S(∂F2/∂x) - ∂F1/∂y) I tried doing it by brute force. I took the partials and put them under the integral. I also computed the bounds of integration and split it into the multiple integral. However, the bounds were pretty messy: x from 1 to 3, y from 3 to √(1-(x-2)2)+3 When I evaluated the first integral with respect to y, I got an intractible function to take an integral over. I feel like I should be using polar coordinates, but I am not sure how to substitute them in this case.