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(x2)Ax + . .. + f(xn)Ax]n- 00n- 00Use this definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.In(x), 5 sx S 14f(x) =A = limn- 00i = 1

Given that fx=lnxx , 5≤x≤14 We have A= ∫abfx dx =limn→∞ ∑ i=1 n fxi ∆x find ∆x =b-an…

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(xn)Ax] n- 00 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) = In(x) 5

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(xn)Ax] n- 00 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) = In(x) 5

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.6: Permutations

Problem 47E

See similar textbooks