Consider the function f : defined by                    f(x) = 0 if x is irrational and f(x)=1 if x is rational  Is f integrable over [0, 1] (or any other bounded and closed interval)?

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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Consider the function f : defined by  

                 f(x) = 0 if x is irrational and f(x)=1 if x is rational

 Is f integrable over [0, 1] (or any other bounded and closed interval)? 

 

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