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 $(u^{2}-a^{2})$
$u=a\sec\theta, a=5$
$x=5\sec\theta$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
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 - Page 539: 4
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