Answer
False.
Work Step by Step
False,F(x)=$-\frac{x^{2}}{2}$ if $x \leq 0$, so $F(x)=\frac{x^{2}}{2}$ if $x>0$ is an antiderivatie of $F(x)$.
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 320: 27
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