Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 5 - Section 5.2 - The Definite Integral - 5.2 Exercises - Page 388: 5

Answer

a) $6$ b) $4$ c) $2$

Work Step by Step

$Δx =\frac{10-0}{5} = 2$ a) $A = [ f(2) +f(4) +f(6) +f(8) + f(10)]Δx$ $A = [-1+0-2+2+4](2) = 6$ b) $A = [ f(0) +f(2) +f(4) +f(6) + f(8)]Δx$ $A = [3-1+0-2+2](2) = 4$ c) $A = [ f(1) +f(3) +f(5) +f(7) + f(9)]Δx$ $A = [0-1-1-0+3](2) = 2$
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