Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 5: Integrals - Section 5.3 - The Definite Integral - Exercises 5.3 - Page 278: 92

Answer

$1$

Work Step by Step

Given:$\int_{0}^{\frac{\pi}{4}}$$\sec^2x$$dx$ $=>$$\tan x$$]$$_{0}^{\frac{\pi}{4}}$ Now, we apply the limits: $=>$ $\tan\frac{\pi}{4}$$-$$\tan0$ $=>$$1$$-$$0$$= $$1$
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