Answer
$$\frac{21}{64} .$$
Work Step by Step
We have
$$\int_{1}^{4} x^{-4}dx=\frac{1}{-3}x^{-3}|_{1}^4=-\frac{1}{3(4)^3} +\frac{1}{3}=\frac{21}{64} .$$
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 - 5.4 The Fundamental Theorem of Calculus, Part I - Exercises - Page 258: 18
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