Start your trial now! First week only $4.99!*arrow_forward*

BuyFind*launch*

4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 5.4, Problem 1E

To determine

**To explain:** The differentiation and integration are inverse process.

Expert Solution

The statement is correct.

Show the Fundamental theorem of calculus as below:

The theorem is valid if the function *f* is continuous on

Compare Equation (1) and (2).

Apply Equation (3) in (2).

Consider the procedure as follows:

- Integrate the function
*f*. - Differentiate the result of integration of
*f*.

The original function *f*.

Therefore, the differentiation and integration are inverse processes.