研究所、轉學考(插大)-微積分題庫

9. Let E≔{(x,y,z)| x²+y² ≤ z ≤ 1} with the boundary ∂Eand n be the outward-pointing normal vector. Given a vector field
F(x,y,z)=(+2x-sinz,x-cosz,sin sin⁡(y²)-z²).
Please evaluate