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)$=\tan t$
$F^{\prime}(x)=f(x)=\tan x$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
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
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