Calculus (3rd Edition)

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

Chapter 5 - The Integral - 5.2 The Definite Integral - Exercises - Page 245: 21

Answer

$44.625$

Work Step by Step

let $f(x)$ = $x^{2}+$ $P$ = ${x_0=2, x_1=3, x_2=4.5, x_3=5}$ $C$ = ${c_1=2, c_2=3.5, c_3=5}$ $R(f, P, C)$ = $Δx_1f(c_1)+Δx_2f(c_2)+Δx_3f(c_3)$ = $(3-2)(6)+(4.5-3)(15.75)+(5-4.5)(30)$ = $44.625$
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