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Example 3

EXAMPLE 3

Use Gauss' Theorem to evaluate the surface integral

13_vector_calculus-347.gif

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.

13_vector_calculus-348.gif

Figure 13.6.10

By Gauss' Theorem,

13_vector_calculus-349.gif


Last Update: 2006-11-22