Answer
$0$
Work Step by Step
Applying Stoke's Theorem, we have
$\oint F \cdot dr=\iint _S (\nabla \times F) \cdot n d\sigma$
or, $\oint F \cdot dr=\int_{-1}^{1} \int_{-1}^{1} (2x-2y) dx dy$
or, $\int_{-1}^{1}[x^2-2xy]_{-1}^{1} =0$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 15 - Section 15.7 - Stokes' Theorem - Exercises - Page 895: 5
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