Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 4 - Integration - 4.4 The Definition Of Area As A Limit; Sigma Notation - Exercises Set 4.4 - Page 298: 26

Answer

See explanation.

Work Step by Step

$n$ is the number of equal subintervals in which you divide the the interval. $x_{k}^{*}$ is a point in the $ k $th sub-interval $\Delta x$ is the length of each subinterval. Reducing the length of your intervals, the area approximations become more and more precise.
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