University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 15 - Section 15.1 - Line Integrals - Exercises - Page 827: 29



Work Step by Step

Here, we have $ ds=\sqrt {(\dfrac{dx}{dt})^2+(\dfrac{dy}{dt})^2+(\dfrac{dz}{dt})^2} dt$ and $ds= 2dt$ This implies that $L=(4) \int_{0}^{\pi/2} \cos t+\sin t dt$ Thus, we have $ 4[\sin t-\cos t]_{0}^{\pi/2}=8$
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