Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 5 - Integration - 5.2 Definite Integrals - 5.2 Exercises - Page 358: 2


The net area bounded by the graph of the function and $x$ axis on the interval of integration.

Work Step by Step

The definite integral for the pieces of the graph of the function that are above $x$ axis gives their area while for those that are under the $x$ axis gives minus their area so in total, if the function changes its sign in the interval of integration, all the areas above $x$ axis are added and all the areas below $x$ axis are subtracted so we get the net area on the interval of integration.
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