Given V = x2i + y2j + z2k, integrate V · n dσ over the whole surface of the cube of side 1 with four of its vertices at (0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0). Evaluate the same integral by means of the divergence theorem.
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Given V = x2i + y2j + z2k, integrate V · n dσ over the whole surface of the cube of side 1 with four of its vertices at (0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0). Evaluate the same integral by means of the divergence theorem.
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