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

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 $u=1-x^3$.

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