Answer
TRUE
Work Step by Step
If $ C_1 = -C_2$ then, $\int _{C_1} f(x,y) ds +\int _{C_2} f(x,y) ds \\
= \int _{C_1} f(x,y) ds +\int _{-C_1} f(x,y) ds \\
= \int _{C_1} f(x,y) ds -\int _{C_1} f(x,y) ds \\
= 0$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
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 1064: 84
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