Answer
$f(x)=2x-2$
Work Step by Step
By the Fundamental Theorem of Calculus, the function $f(x)$ is the derivative of $\int_1^{x} f(t) dt=x^2-2x+1$
Thus,
$f(x)=2x-2$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 5 - Section 5.4 - The Fundamental Theorem of Calculus - Exercises - Page 322: 77
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