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: 19

Answer

$1.59$

Work Step by Step

Let $f(x)$ = $x$ $P$ = ${x_0=1, x_1=1.2, x_2=1.5, x_3=2}$ $C$ = ${c_1=1.1, c_2=1.4, c_3=1.9}$ $R(f, P, C)$ = $Δx_1f(c_1)+Δx_2f(c_2)+Δx_3f(c_3)$ = $(1.2-1)(1.1)+(1.5-1.2)(1.4)+(2-1.5)(1.9)$ = $1.59$
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