Calculus 8th Edition

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

Chapter 16 - Vector Calculus - Review - True-False Quiz - Page 1188: 4

Answer

TRUE

Work Step by Step

True; Because the starting and ending points are the same, by the fundamental theorem for line integrals, $\int_C \nabla f \cdot d \mathbf{r} = f(\mathbf{r}(a)) - f(\mathbf{r}(a)) = 0$.
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