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] 818 n18 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) = n(x), 6 ≤ x ≤ 19 X 13i In 6+ n A = lim 13i 6+ n 818 i=1

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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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 Rn lim [f(x₁)Ax + f(x₂)Ax + . . . + f(xn)Ax]
n-∞
n→∞0
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) = n(x), 6 ≤ x ≤ 19
X
13i
In 6+
n
A = lim
13i
6 +
n
n→∞
i=1
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-∞ n→∞0 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) = n(x), 6 ≤ x ≤ 19 X 13i In 6+ n A = lim 13i 6 + n n→∞ i=1
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