Calculus (3rd Edition)

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 - Preliminary Questions - Page 431: 3

Answer

Integration by partial fractions.

Work Step by Step

We solve this integral by using the method of integration by partial fractions: $$\frac{1+x^2}{1-x^2}=\frac{1}{1-x^2}-1$$ Then, for the first fraction, one can use the substitution $ x=\sin \theta $.
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