Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 4 - Integration - 4.3 Exercises - Page 275: 55

Answer

(d)

Work Step by Step

Sketch the graph and estimate how many square units (full 1$\times$1 squares) fit underneath the curve. The shaded area is slightly more than than the area of a triangle with base 1 and height 2, whose area is $\displaystyle \frac{1}{2}(1)(2)=1$, It is more than 1, and, since it fits inside a 2$\times$1 rectangle, it is less than 2 square units so, the closest choice would be (d)
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