Answer
$F(x)$ is the antiderivative of $f(x)$.
Work Step by Step
Since $$F(x)'= \frac{1}{3}((x+13)^3)'=\frac{3}{3}(x+13)^2=((x+13)^2=f(x)$$
thus $F(x)$ is the antiderivative of $f(x)$.
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: 42
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