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Find the exact average value of f(x) = rlnr on the interval [1, e] (do not approximate).

Find the exact average value of f(x) = rlnr on the interval [1, e] (do not approximate).

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Find the exact average value of f(x) = r lnr on the interval [1, e] (do not approximate). LIS
Transcribed Image Text:Find the exact average value of f(x) = r lnr on the interval [1, e] (do not approximate). LIS
Expert Solution
Step 1: Define the problem

The average value of function f(x) over the interval open square brackets a comma b close square brackets is f subscript a v e end subscript equals fraction numerator 1 over denominator b minus a end fraction integral subscript a superscript b f open parentheses x close parentheses d x

The given function is f open parentheses x close parentheses equals x ln open parentheses x close parentheses

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