Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 8 - Integration Techniques, L'Hopital's Rule, and Improper Integrals - 8.4 Exercises: 4

Answer

$x=5\sec\theta$

Work Step by Step

$\int x^{2}(x^{2}-25)^\frac{3}{2}dx$ $(x^{2}-25)$ is the form $(u^{2}-a^{2})$ $u=a\sec\theta, a=5$ $x=5\sec\theta$
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