Answer
$F(x)$ is the antiderivative of $f(x)$.
Work Step by Step
We have
$$ \frac{1}{7}((x+13)^7+c)'=\frac{7}{7}(x+13)^6=((x+13)^6$$
that is, $\int(x+13)^{6} d x=\frac{1}{7}(x+13)^{7}+C$.
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: 43
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