Tutorial Exercise Write the integral of the region as the limit of a Riemann sum with intervals of equal width and right endpoints as sample points. Step 1 of 4 Recall that the Riemann sum is defined as F(x;)Ax where x; is a sample point in n partitioned intervals over a closed interval [a, b]. As n approaches infinity, the limit of the Riemann sum equals F(x) dx. Observe that f(x) = x³ – 9x is continuous on [0, 8]. We will first partition [0, 8] into n segments of equal length using the formula Ax = 5-a, where a, b are the endpoints of the interval and n is the number of rectangles used in the approximation. Find Ax for the given function in terms of n, n = 1, 2, 3,... Ax = b - a. Thus, the partitioned intervals are [0, 8/n], [8/n, 2(8/n)], . .., [(n – 1) (8/n), 8]. Submit Skip (you cannot come back)

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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Tutorial Exercise
Write the integral of the region as the limit of a Riemann sum with intervals of equal width and right endpoints
as sample points.
Step 1 of 4
E F(x;)Ax where x¡ is a sample point in n partitioned intervals
i = 1
Recall that the Riemann sum is defined as
over a closed interval [a, b]. As n approaches infinity, the limit of the Riemann sum equals
f(x) dx.
Observe that f(x) = x³ - 9x is continuous on [0, 8]. We will first partition [0, 8] into n segments of equal
length using the formula Ax = D-a, where a, b are the endpoints of the interval and n is the number of
rectangles used in the approximation.
Find Ax for the given function in terms of n, n = 1, 2, 3,....
Ax =
b – a _
Thus, the partitioned intervals are [0, 8/n], [8/n, 2(8/n)]1, ..., [(n – 1) (8/n), 8].
Submit Skip (you cannot come back)
Transcribed Image Text:Tutorial Exercise Write the integral of the region as the limit of a Riemann sum with intervals of equal width and right endpoints as sample points. Step 1 of 4 E F(x;)Ax where x¡ is a sample point in n partitioned intervals i = 1 Recall that the Riemann sum is defined as over a closed interval [a, b]. As n approaches infinity, the limit of the Riemann sum equals f(x) dx. Observe that f(x) = x³ - 9x is continuous on [0, 8]. We will first partition [0, 8] into n segments of equal length using the formula Ax = D-a, where a, b are the endpoints of the interval and n is the number of rectangles used in the approximation. Find Ax for the given function in terms of n, n = 1, 2, 3,.... Ax = b – a _ Thus, the partitioned intervals are [0, 8/n], [8/n, 2(8/n)]1, ..., [(n – 1) (8/n), 8]. Submit Skip (you cannot come back)
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