Verify the divergence theorem when S is the closed surface
formed by sectioning off the cylinder x2 + y2 = 1 with the planes z
= 0 and z = 1 and ⃗ F = xy⃗ j + yz⃗ k.
here i at first find the
surface integral by using Gauss divergence theorems. But when i
want to find surface integrale simply without using divergence
theorem I see that the second integration that is double
integration of yz with respect to dxdy can not possible as we can
not substitute z from the following curve x^2+y^2=1, z=0 to z=1
.
So i think the given function F is wrong.
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