Calculus 10th Edition

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 - 8.1 Exercises: 76

Answer

The required formula is $$\int \frac{1}{x^2+1} dx=\arctan x +c.$$

Work Step by Step

Here the integration formula $$\int \frac{1}{x^2+1} dx=\arctan x +c,$$ which is usually included in the table of standard integrals can be directly applied on the integral in the problem.
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