Question: Given a vector field (\mathbf{F} = (y^2-z, xz^2, xy + z^3)) and a surface (S) in space bounded by the curve (C), which is the intersection of the cylinder ( x^2+y^2 = 4) and the plane (z = x + 2), use Stokes' theorem to evaluate the line integral of (\mathbf{F}) around (C). Ensure to describe the orientation of (S) and (C) and show all steps in the evaluation process. What does the result of this line integral represent physically?