Answer
$f(x)=2x-2$
Work Step by Step
The function $f(x)$ is the derivative of $\int_1^{x} f(t) dt=x^2-2x+1$ by the fundamental Theorem of calculus.
This implies that
$\int_1^{x} f(t) dt=x^2-2x+1$
$\implies f(x)=2x-2$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 5: Integrals - Section 5.4 - The Fundamental Theorem of Calculus - Exercises 5.4 - Page 288: 67
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