Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 17 - Line and Surface Integrals - 17.2 Line Integrals - Preliminary Questions - Page 931: 3

Answer

(a) It is true. (b) It is false.

Work Step by Step

(a) It is true. Because in scalar line integral the integrand is a scalar function. (b) It is false. In vector line integral the integrand is a vector function, so it changes sign if we reverse the orientation of the curve. But in scalar line integral the integrand is a scalar function, so it does not change sign if we reverse the orientation of the curve.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.