Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 13 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Section 13.5 The Area Problem; The Integral - 13.5 Assess Your Understanding - Page 923: 6



Work Step by Step

Our aim is to calculate the approximation of $A$, the area under the function using the right endpoints. We are given that the length of each sub-interval is $1$. Therefore we have: $$A=(2-1)f(2)+(3-2)f(3) \\=f(2)+f(3)\\=2+4 \\ =6$$
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