Calculus 10th Edition

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

Chapter 4 - Integration - 4.4 Exercises - Page 288: 3

Answer

Zero

Work Step by Step

The area is zero. This is because the function has point symmetry about the y axis. The function is negative in the 3rd quadrant and positive in the 1st. The area from -2 to 0 will be equal in value to the area from 0 to 2, but negative. Therefore cancelling with the positive area from 0 to 2.
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