Answer
$44.625$
Work Step by Step
let
$f(x)$ = $x^{2}+$
$P$ = ${x_0=2, x_1=3, x_2=4.5, x_3=5}$
$C$ = ${c_1=2, c_2=3.5, c_3=5}$
$R(f, P, C)$ = $Δx_1f(c_1)+Δx_2f(c_2)+Δx_3f(c_3)$ = $(3-2)(6)+(4.5-3)(15.75)+(5-4.5)(30)$ = $44.625$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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
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