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: 44


$F(x)$ 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, $\int(x+13)^{-5} d x= -\frac{1}{4}(x+13)^{-4}+C$.
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