Answer
Integration by parts with $u=\sqrt{1-x^3}$ and $dv=1$
Work Step by Step
We can use integration by parts with $u=\sqrt{1-x^3}$ and $dv=1$. We would need to use substitution on the resulting integral with $u=1-x^3$.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 8 - Techniques of Integration - 8.6 Strategies for Integration - Exercises - Page 431: 6
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