Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 4 - Integrals - 4.2 The Definite Integral - 4.2 Exercises - Page 316: 7

Answer

Lower estimate = $-64$ Upper estimate = $16$

Work Step by Step

Lower estimate: $L_5$ = $\Sigma_{i=1}^{5}f(x_{i-1})Δx$ = $4[f(10)+f(14)+f(18)+f(22)+f(26)]$ = $4[-12-6-2+1+3]$ = $-64$ Upper estimate: $R_5$ = $\Sigma_{i=1}^{5}f(x_{i})Δx$ = $4[f(14)+f(18)+f(22)+f(26)+f(30)]$ = $4[-6-2+1+3+8]$ = $16$
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