Calculus (3rd Edition)

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


$F(x)$ 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 $f(x)$.
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