Answer
$ 5 \sin{\theta} $
Work Step by Step
$ \int{ \frac{ x^2 }{ \sqrt{25-x^2} } }dx $ has the form $ \sqrt{a^2 - u^2} $ so
$ x=a\sin{\theta}, a=5 $
$ x=5\sin{\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: 3
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