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 R₁ = lim [f(x₁) Ax + f(x₂)x+ ... + f(xn)Ax] n → ⁰⁰ n→ ∞ 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) = 9x cos(9x), 0 ≤ x ≤- 스플 A = lim n→ ∞ i = 1 22²2 27 ) · cos( 9π 9π n X

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
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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 R₁ = lim [f(x₁) Ax + f(x₂)x+ ... + f(xn)Ax]
n → ⁰⁰
n→ ∞
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) = 9x cos(9x), 0 ≤ x ≤-
스플
A = lim
n→ ∞
i = 1
22²2 27 )
· cos(
9π
9π
n
X
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 R₁ = lim [f(x₁) Ax + f(x₂)x+ ... + f(xn)Ax] n → ⁰⁰ n→ ∞ 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) = 9x cos(9x), 0 ≤ x ≤- 스플 A = lim n→ ∞ i = 1 22²2 27 ) · cos( 9π 9π n X
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