Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 5: Integrals - Practice Exercises - Page 308: 69


See the explanation.

Work Step by Step

The fundamental theorem of calculus states that the average value of any function $f(x) $ on the interval $[p,q]$ can be defined as: $\dfrac{1}{q-p}\int_p^q f'(x) dx=\dfrac{1}{q-p}[f'(x)]_p^q$ or, $=\dfrac{f(q)-f(p)}{q-p}$ Thus, this shows the average change of $f(x)$ on $[p,q]$.
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.