Textbook ExpertVerified Tutor
3 Dec 2021
Given information
The definite integral 
Step-by-step explanation
Step 1.
The midpoint rule states:
Assume that 
is continuous on 
Let 
be a positive integer and 
. If 
is divided into 
sub intervals, each of length 
and 
is the midpoint of the 
sub interval, set
is continuous on Let be a positive integer and . If is divided into sub intervals, each of length and is the midpoint of the sub interval, set
Then
Suppose 
for 
. Let 
be the error, then
for . Let be the error, then
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 1a
- Problem 1b
- Problem 1c
- Problem 2
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 3
- Problem 3a
- Problem 3b
- Problem 4
- Problem 4
- Problem 5
- Problem 5a
- Problem 5b
- Problem 5c
- Problem 6
- Problem 6a
- Problem 6b
- Problem 7
- Problem 7
- Problem 8
- Problem 8a
- Problem 8b
- Problem 9
- Problem 9
- Problem 10
- Problem 10a
- Problem 10b
- Problem 10c
- Problem 11
- Problem 11a
- Problem 11b
- Problem 11c
- Problem 12
- Problem 12
- Problem 13
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 51b
- Problem 51c
- Problem 52a
- Problem 52b
- Problem 52c
- Problem 52d
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 56
- Problem 58
- Problem 59
- Problem 60
- Problem 61
- Problem 62
- Problem 63
- Problem 64
- Problem 65
- Problem 66
- Problem 67
- Problem 68a
- Problem 68b
- Problem 69
- Problem 70
- Problem 71
- Problem 72
- Problem 73
- Problem 74