Evaluate the surface integral S F n dA by the divergence theorem. Show the details.

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Evaluate the surface integral ∫∫F • n dA by the divergence theorem. Show the details.

F = [sin y, cos x, cos z], S, the surface of x2 + y2 ≤ 4, |z| ≤ 2 (a cylinder and two disks!)

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