Use the Midpoint Rule with the given value of n to approximate the
To evaluate: The integral function
Answer to Problem 12E
The approximate value of the integral function
Explanation of Solution
Given information:
The integral function is
The Expression for midpointrule is shown below:
Find the width
Here, the upper limit is b, the lower limit is a, and the number of intervals is n.
Substitute
Calculate the value of right end points
Calculate the value of left end points
Substitute
Calculate the value of mid points
Substitute
Calculate the value of
Substitute 0 for
Calculate the value of
Substitute 0 for
Calculate the value of
Substitute 0 for
Calculate the value of
Substitute 0 for
Consider
Rearrange the expression
Substitute
Calculate the value of
Substitute
Calculate the value of
Substitute
Calculate the value of
Substitute
Calculate the value of
Substitute
Substitute
Thus, the value of integral function
Chapter 5 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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