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Corollary 1

COROLLARY 1

The area of D is equal to the double integral of the constant function 1 over D, (Figure 12.1.16):

12_multiple_integrals-43.gif

12_multiple_integrals-44.gifFigure 12.1.16

PROOF

Both m and M are equal to 1, so

12_multiple_integrals-45.gif
Home Multiple Integrals Double Integrals Corollary 1

Last Update: 2006-11-05