   Chapter 5, Problem 3RCC ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# State the Midpoint Rule.

To determine

To define: The Midpoint rule.

Explanation

Consider the function f which is continuous on interval [a,b].

Divide the interval into n subintervals of equal width as Δx=ban

Let take x¯i be the midpoint of the interval. Then sketch the intervals in the shape of approximating rectangles with a height of f(x¯i) as shown in Figure 1.

Refer to Figure 1:

Take x0=a and xn=b, which is the start and end points of the interval

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