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Example 3
EXAMPLE 3 Use Gauss' Theorem to evaluate the surface integral where F(x, y, z) = exi + eyj + xyzk and E is the unit cube in Figure 13.6.10. 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1. Figure 13.6.10 By Gauss' Theorem,
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