The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles. A = lim Rn lim [f(x₁)Ax + f(x2)Ax+ ... + f(xn)Ax] 818 n18 Use this definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x) = n(x), 6 ≤ x ≤ 19 X 13i In 6+ n A = lim 13i 6+ n 818 i=1
The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles. A = lim Rn lim [f(x₁)Ax + f(x2)Ax+ ... + f(xn)Ax] 818 n18 Use this definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x) = n(x), 6 ≤ x ≤ 19 X 13i In 6+ n A = lim 13i 6+ n 818 i=1
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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![The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating
rectangles.
A = lim Rn lim [f(x₁)Ax + f(x₂)Ax + . . . + f(xn)Ax]
n-∞
n→∞0
Use this definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.
f(x) = n(x), 6 ≤ x ≤ 19
X
13i
In 6+
n
A = lim
13i
6 +
n
n→∞
i=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38019852-6c9e-41b3-8160-da1cead6e3ce%2F451da6d3-eac0-4854-8fa0-d62df9354128%2Farzd2dp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating
rectangles.
A = lim Rn lim [f(x₁)Ax + f(x₂)Ax + . . . + f(xn)Ax]
n-∞
n→∞0
Use this definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.
f(x) = n(x), 6 ≤ x ≤ 19
X
13i
In 6+
n
A = lim
13i
6 +
n
n→∞
i=1
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