1. The problem statement, all variables and given/known data ∫Fdr Over C where C is the cirlce (x-3)^2+ (y+4)^2=4 F=<y-cosy, xsiny> 2. Relevant equations 3. The attempt at a solution So I applied Green's theorem and converted to polar and ended up with -4π, it should be positive. The orientation confused me since day one with this theorem. When I parametrize C I get <2+2cost,-4+2sint> which IS counter clockwise, which DOES curl in the positive Z direction, so when why does my book say that -C gives the positive orientation?