Answer
$F(x)$ is the antiderivative of $f(x)$.
Work Step by Step
We have
$$ -\frac{1}{4}((x+13)^{-4}+c)'=-\frac{-4}{4}(x+13)^{-4}=(x+13)^{-5}$$
that is, $\int(x+13)^{-5} d x= -\frac{1}{4}(x+13)^{-4}+C$.
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 - 5.3 The Indefinite Integral - Exercises - Page 252: 44
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