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a regular partition of [a, b]. Show that if ƒ is continuous and increasing on [a, b], then U,(P) – L,(P) =[S(b) – f(a)] Ax. %3D

a regular partition of [a, b]. Show that if ƒ is continuous and increasing on [a, b], then U,(P) – L,(P) =[S(b) – f(a)] Ax. %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 56E
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a regular partition of [a, b]. Show that if f is continuous and increasing on [a, b], then U(P) – L,(P) =[S(b) – f(a)] Ax. %3D
Transcribed Image Text:a regular partition of [a, b]. Show that if f is continuous and increasing on [a, b], then U(P) – L,(P) =[S(b) – f(a)] Ax. %3D
A partition P = {xo. x1, x2, .. . xn=1, Xm} of [a, b] is said to be regular if the subintervals [x¡-1, X¡] all have the same length Ax = (b – a)/n. Let P = {xo,X1, .... Xn=1» Xn) be
Transcribed Image Text:A partition P = {xo. x1, x2, .. . xn=1, Xm} of [a, b] is said to be regular if the subintervals [x¡-1, X¡] all have the same length Ax = (b – a)/n. Let P = {xo,X1, .... Xn=1» Xn) be
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