Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 5 - The Integral - 5.5 The Fundamental Theorem of Calculus, Part II - Exercises - Page 262: 24


$\tan \left(\frac{1}{1+s^{2}}\right) .$

Work Step by Step

By making use of Theorem 1 (FTC II), we have $$ \frac{d}{d s} \int_{-2}^{s} \tan \left(\frac{1}{1+u^{2}}\right) d u=\tan \left(\frac{1}{1+s^{2}}\right) . $$
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