研究所、轉學考(插大)-微積分題庫

9. (20分) Using Green's Theorem, evaluate

clockwise around the boundary curve C of the region R = {(x, y) ∈ R | 1 ≤ y ≤ 2 - x²}, where F = (x² + y²)i + (x² - y²)j. (10分) (請說明 Green's theorem 之公式) (5分) (畫出 R 之圖形)