Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 8 - Techniques of Integration - 8.9 Numerical Integration - Exercises - Page 458: 33

Answer

Error $(T_{10})\leq 0.045$

Work Step by Step

We have the error $(T_N) \leq \dfrac{k_2(b-a)^3}{12N^2}$ For, $N=10$, we have: Error $(T_{10}) \leq \dfrac{2(4-1)^3}{12(10)^2} \\ \leq \dfrac{2(27)}{12(100)}\\ \leq \dfrac{9}{200} \\\leq 0.045$
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.