Problem

Let $ \displaystyle g(x) = \int^x_0 f(t) \,dt $, …

12:51

Problem 1 Easy Difficulty

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

Answer

Thus we have proved and understood that differentiation and integration are inverse processes.

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Frank L.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

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Video Transcript

Okay. We know that if F is integrated and then the result of this is differentiated, we arrived back the original function. Remember the fundamental theme of calculus. And then you must understand the fact that if we consider the two parts of the fundamental form of cockles part one in part to these imply that differentiation and integration are inverse prop processes, each one does what the other does. Therefore, they are in verse.

Amrita B.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

Top Calculus 1 / AB Educators

Grace H.

Numerade Educator

Kristen K.

University of Michigan - Ann Arbor

Michael J.

Idaho State University

Joseph L.

Boston College