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Example 3

EXAMPLE 3

Use Green's Theorem to find the area of the ellipse shown in Figure 13.4.6,-

 

13_vector_calculus-217.gif

13_vector_calculus-218.gif

Figure 13.4.6

The boundary of the ellipse is the parametric curve

x = a cos t, y = b sin t, 0 ≤ t ≤ 2π.

By the corollary,

13_vector_calculus-219.gif


Last Update: 2006-11-25