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# Solved: Let A be the area under the graph of an increasing continuous function f from a ISBN: 9781305270336 484

## Solution for problem 27 Chapter 5.1

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 27

Let A be the area under the graph of an increasing continuous function f from a to b, and let Ln and Rn be the approximations to A with n subintervals using left and right endpoints, respectively. (a) How are A, Ln, and Rn related? (b) Show that Rn 2 Ln b 2 a n f fsbd 2 fsadg Then draw a diagram to illustrate this equation by showing that the n rectangles representing Rn 2 Ln can be reassembled to form a single rectangle whose area is the right side of the equation. (c) Deduce that Rn 2 A , b 2 a n f fsbd 2 fsadg

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##### ISBN: 9781305270336

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