Use this definition to find an expression for the area under the

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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 n → ∞ Rn = lim n → ∞ [f(x1)Δx + f(x2)Δx + . . . + f(xn)Δx]

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) = 
4   x
, 1 ≤ x ≤ 11
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 → 00
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) = Vx, 1 < x < 11
A = lim
i = 1
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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 → 00 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) = Vx, 1 < x < 11 A = lim i = 1 Need Help? Watch It
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