申論題

14. Let E be a tetrahedron(四面體) in R³ bounded by the planes x + u + z = 3, 2 = 2z, y = 0 and 2 = 0. Let also F:=(x-y)i+(y²+ z²) k.

(c) If S₂ is the surface obtained from S₁by removing the face in the xy-plane while keeping the orientation from S₁ on all other faces, one then has curlF. dS =__ (20)__.