Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 15 - Vector Analysis - 15.2 Exercises - Page 1063: 55

Answer

$\int_C (2x-y)dx + (x+3y)dy = 25$

Work Step by Step

The path is along x axis from $x=0$ to $x=5$ Hence, $y=0$ and $dy = 0$ on every point $\therefore \int_C (2x-y)dx+(x+3y)dy \\ = \int_{x=0}^52xdx = [\frac{2x^2}{2}]_0^5 = 25$
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