30 Nov 2021
Problem 10a
Page 463
Section 6.5: Average Value of a Function
Chapter 6: Application of Integration
Textbook ExpertVerified Tutor
30 Nov 2021
Given information
The given function is 
The given interval is 
Step-by-step explanation
Step 1.
- The average value of
on the interval 
is denoted by 
and is given by 
- Therefore, the average value of the function on the interval is denoted by
and is given by 
- Consider the integral
as 
- Find the value of the integral by making the substitution
When 
,
When 
,
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7a
- Problem 7b
- Problem 7c
- Problem 8a
- Problem 8b
- Problem 8c
- Problem 9a
- Problem 9b
- Problem 9c
- Problem 10a
- Problem 10b
- Problem 10c
- Problem 11
- Problem 12
- Problem 13
- Problem 14a
- Problem 14b
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22