Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.2 Exercises - Page 335: 64

Answer

$F^{\prime}(x)=\tan x$

Work Step by Step

Use the Second Fundamental Theorem of Calculus (Th 4.11) $\displaystyle \frac{d}{dx}\left[\int_{a}^{x}f(t)dt\right] =f(x)$ here: a=0, and f(t)$=\tan t$ $F^{\prime}(x)=f(x)=\tan x$
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