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] Use this definition to find an expression for the area under the graph of fas a limit. Do not evaluate the limit. f(x) = In(x), 3sxs 10 A = lim

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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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]
Use this definition to find an expression for the area under the graph of fas a limit. Do not evaluate the limit.
f(x) = In(x), 3sxs 10
A = lim
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] Use this definition to find an expression for the area under the graph of fas a limit. Do not evaluate the limit. f(x) = In(x), 3sxs 10 A = lim
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