Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 5 - Applications Of The Definite Integral In Geometry, Science, And Engineering - 5.1 Area Between Two Curves - Exercises Set 5.1 - Page 353: 21



Work Step by Step

Assuming that $f$ and $g$ differ by a constant $c$ signifies that $g$=$f+c$. Therefore, the area formula becomes $\int{f(x)+c-f(x)}dx$ on the interval $[a,b]$, or $\int{c}dx$ on $[a,b]$. Integrating and using the Fundamental Theorem of Calculus yields $c(b-a)$.
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.