Example : evaluate: | a n ds over the entire surface s of the region bounded by the cylinder a +z = 9, x = 0, y = 0, z = 0 and y = 8 where a = 6zi + (2x + y)i -

Example : Evaluate: | A n dS over the entire surface S of the region bounded by the cylinder A +z = 9, x = 0, y = 0, z = 0 and y = 8 where A = 6zi + (2x + y)i - xk. Solution. Here the entire surface S consists of 5 surfaces, namely. S, lateral surface of the oylinder ABCD, S, AOED, S, OBCE, S, : OAB, S,: CDE.