Answered: Let ƒ be Riemann integrable on [a, b],…

Let ƒ be Riemann integrable on [a, b], and suppose g : [a, b] → R is a function such that g(x) = f(x) except for finitely many x E [a, b]. Show g is integrable and | f(x) dæ = | g(x) dæ.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.2: Integral Domains And Fields

Problem 17E: If e is the unity in an integral domain D, prove that (e)a=a for all aD. [Type here][Type here]

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Let f be Riemann integrable on [a,b], and suppose g : [a, b] → R is a function such that g(x) = f(x)
except for finitely many x E [a,b]. Show g is integrable and
S(2) dæ = /
g(x) dx.
a

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