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 (5 分))