Concept explainers
To find:the limit as h
Answer to Problem 35RE
Explanation of Solution
Given information: Given f as continuous function.
Calculation:
The average value of a function f(x) over an interval
Use the fundamental Theorem of Calculus to transform this to an equation in terms of F(x), the antiderivative of f(x).
Since the average value as h goes to zero, so take the limit h
Since
Chapter 6 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition