finition with right endpoints to find an expression for the area under the graph of fas ग f(x) = 5x cos(5x), 0≤x≤ дуг IN 2

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 R =
_lim__ [f(x₁)Ax + f(x₂)Ax + . . .
+ f(x)Ax]
n
n→ ∞
n→∞
Use this definition with right endpoints to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.
f(x) = 5x cos(5x), 0 ≤ x ≤
n
A = lim
i = 1
n→∞
EN
2
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 R = _lim__ [f(x₁)Ax + f(x₂)Ax + . . . + f(x)Ax] n n→ ∞ n→∞ Use this definition with right endpoints to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x) = 5x cos(5x), 0 ≤ x ≤ n A = lim i = 1 n→∞ EN 2
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