Use this definition to find an expression for the area under the
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 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) =
, 1 ≤ x ≤ 11
4 | 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 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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