Answer
See details below.
Work Step by Step
One can see that $ f'(x)=-2x^{-3}$ and so the $ f'$ is negative on the interval $[3,7]$. Hence, the function $ f $ is decreasing on the interval $[3,7]$, and consequently, $$ L_{100}\geq R_{100}.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 5 - The Integral - 5.1 Approximating and Computing Area - Preliminary Questions - Page 234: 5
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