Calculus 8th Edition

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

Chapter 16 - Vector Calculus - Review - Exercises - Page 1189: 7



Work Step by Step

$\int_Cxydx+y^2dy+yzdz=\int_0^1(2t+1)(4t)(2dt)+(4t)^2(4dt)+(4t)(3t-1)(3dt)$ $=\int_0^1(2t+1)(4t)(2dt)+(4t)^2(4dt)+(4t)(3t-1)(3dt)$ $=[\frac{116t^3}{3}-2t^2]_0^1$ $$\int_Cxydx+y^2dy+yzdz=\frac{110}{3}$$
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