Answer
$$\frac{x^3}{3}-\frac{x^{-3}}{3}-2\ln x+c .$$
Work Step by Step
We have
$$\int (x-x^{-2})^2dx=\int x^2 +x^{-4}-2x^{-1}dx\\
=\frac{x^3}{3}-\frac{x^{-3}}{3}-2\ln x+c .$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - 7.8 Inverse Trigonometric Functions - Exercises - Page 375: 76
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