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: 34


$(T_{20}) \leq 0.000104167$

Work Step by Step

We have the error $(T_N) \leq \dfrac{k_2(b-a)^3}{12N^2}$ For, $N=20$, we have: Error $(T_{20}) \leq \dfrac{(\dfrac{1}{16})(2-0)^3}{12(20)^2} \\ \leq \dfrac{\dfrac{1}{16}(8)}{12(400)}\\ \leq \dfrac{1}{9600} \\\leq 0.000104167$
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