Answer
FALSE.
Work Step by Step
$Counterexample$ Take $f(r, \theta)=2$ for $\theta \in (0,\pi)$ and $f(r,\theta)=-1$. The integral is positive but the function is not.
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 14 - Multiple Integration - 14.3 Exercises - Page 993: 63
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
