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Example 1

EXAMPLE 1

Compute the line integral

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by Green's Theorem, where D is the rectangle shown in Figure 13.4.4, 0 ≤ x ≤ 2, 0 ≤ y ≤ 1.

13_vector_calculus-206.gif

Figure 13.4.4

By Green's Theorem,

13_vector_calculus-207.gif

As a check, we also compute the line integral directly.

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13_vector_calculus-210.gif

13_vector_calculus-211.gif


Last Update: 2006-11-25