Answer
\[
2= a \text { and } 2 x= f(x)
\]
Work Step by Step
\[
f(x)=2 x=A^{\prime}(x)
\]
Note that the area becomes zero if $2=x$, so $a$ must be equal to 2 (because the area of the graph on $[2, x]$ is then zero at $x=2$ )
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 - 4.1 An Overview Of The Area Problem - Exercises Set 4.1 - Page 271: 23
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