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: 5

Answer

See the explanation below.

Work Step by Step

Fundamental Theorem of line integrals states that if $C$ defines a smooth curve represented by $r(t)$; $m\leq t \leq n$ and $f$ be a differentiable function with gradient vector $\nabla f$ which is continuous at all points on $C$. Then$ \int_C \nabla f.dr=f(r(n))-f(r(m))$
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