I have to evaluate the line integral in the field $$F(x,y)=(-2y+\sqrt{4-x^2},\ln(y)-x)$$ over the circle $x^2+y^2=5^2$. Since the origin is inside this circle, I can't use Green's Theorem.
I'd like to know if I'm able to create another curve (eg $x^2+y^2=1$) and then subtract it from the initial one.