Calculus, 10th Edition (Anton)

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 322: 64

Answer

They are inverse operations of each other.

Work Step by Step

Differentiation involves finding the rate of change of a function with the independent variable while indefinite integration is used to get the original function from its derivative. The definite integral of a function between two limits is the area under the function curve, while the derivative is the slope of the function curve at a point. If we differentiate a function and then do indefinite integration, we get back the original function. The result is the same if we perform the operations in reverse. Thus, integration and differentiation may be viewed as inverse processes of each other.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.