Calculus (3rd Edition)

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

Chapter 6 - Applications of the Integral - 6.2 Setting Up Integrals: Volume, Density, Average Value - Exercises - Page 298: 26

Answer

$2kg$

Work Step by Step

The total mass is given by $$M=\int_0^2 1+0.5\sin \pi x dx=x-\frac{1}{2\pi}\cos \pi x|_0^{2}=2kg.$$
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