104年 - 104 國立中山大學轉學生招生考試試題_物理系：微積分#115830

Question 1.(20 points) Evaluate the line integral

where C is the upper half of the ellipse x² +4y²= 1 from (-1,0) to (1,0)

Question 2. (20 points) Evaluate the integral

Question 3. (20 points) Evaluate

Question 5. (20 points) Evaluate the surface integral
 ∫∫(x⁴+y⁴ +z⁴)ds

 where S={(x，y，z)|x²+y²+z²=4}