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(x,)Ax + f(x,)Ax +... + f(x,)Ax] n - co n - co 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 s xs 12 A = lim n - co i = 1

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(x,)Ax + f(x,)Ax +... + f(x,)Ax] n - co n - co 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 s xs 12 A = lim n - co i = 1

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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