Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 4 - Integrals - 4.3 The Fundamental Theorem of Calculus - 4.3 Exercises: 1

Answer

They are inverse processes because one process undoes the other.

Work Step by Step

From the Fundamental Theorem of Calculus, $ \frac{d}{dx} \int f(x) = f(x) $. Therefore, taking the derivative of an integral will undo the integral, and similarly the other way around as well.
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