Answer
See explanation.
Work Step by Step
Remember the Fundamental Theorem of Calculus:
\[
\frac{d}{d x} \int_{a}^{x} f(t) d t=f(x)
\]
Thus:
\[
\frac{d}{d u} \int_{0}^{u}|x| d x=|u|
\]
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 4 - Integration - 4.6 The Fundamental Theorem Of Calculus - Exercises Set 4.6 - Page 321: 52
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