Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 16 - Vector Calculus - Review - Concept Check - Page 1188: 8


See the explanation below.

Work Step by Step

The area enclosed by a curve can be written as: $\int \int_D dA $ Here, $D$ defines the set of vector points enclosed by curve $C$. Area enclosed by a curve can be calculated as: $\int \int_D dA =\oint_Cx dy=-\oint_C y dx=\frac{1}{2}\oint_Cx dy-ydx$
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