   Chapter 5.3, Problem 1E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Explain exactly what is meant by the statement that “differentiation and integration are inverse processes.”

To determine

To explain: The differentiation and integration are inverse process.

Explanation

Show the Fundamental theorem of calculus as below:

g(x)=axf(t)dt (1)

g(x)=f(x) (2)

The theorem is valid if the function f is continuous on [a,b].

Compare Equation (1) and (2).

g(x)=axf(t)dtg(x)=

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