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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c2c149f-9455-4f49-9292-1c1375ef6171%2F397d65cc-ecd8-42d5-ac74-25ea85593bf3%2F6zrjni9_processed.png&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 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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