University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 5 - Questions to Guide Your Review - Page 341: 11

Answer

The processes of differentiation and integration are inverses of each other.

Work Step by Step

Let us suppose that $F(x)$ is a differentiable function. The derivative of a differentiable function can be written as: $\dfrac{d F(x)}{dx}=f(x)$. Now, we will integrate $f(x)$ to get: $\int f(x) dx=F(x) +C\ dx$ From the above points, we conclude that the processes of differentiation and integration are inverses of each other.
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