Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 6 - Applications of the Integral - 6.1 Area Between Two Curves - Exercises - Page 288: 57


$ 0.8009$

Work Step by Step

The area of under $y=f(x)$ over an interval $[m,n]$ about the x-axis is given by: $Area, A= \int_{-0.74}^{0.74} (\cos x - |x| ) \ dx \\ = 2 \int_{0}^{0.74} (\cos x - x) \ dx \\=2[\sin x]_{0}^{0.74} -[x^2]_{0}^{0.74} $ Now, we will use a graphing calculator to obtain the approximate value of the area. So, $Area, A \approx 0.8009$
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