Answer
$2kg$
Work Step by Step
The total mass is given by
$$M=\int_0^2 1+0.5\sin \pi x dx=x-\frac{1}{2\pi}\cos \pi x|_0^{2}=2kg.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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
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