→ →
Use Green's Theorem to evaluate ∫c F ⋅dr , where
→
F =⟨ x +5y,3x+ y ⟩
C consists of the arc of the curve y = 5x−x² from (0,0) to (5,0) and the line segment from (5,0) to (0,0) Hint: Check the orientation of the curve before applying the theorem.