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let f be a function on [0,1] defined by {x ifxcQn [01] F(x) = -xif x = [0,1] \ \ (Recall that is the set of rational numbers Is this function Riemann inte-grable? Lebesgue integrable?

let f be a function on [0,1] defined by {x ifxcQn [01] F(x) = -xif x = [0,1] \ \ (Recall that is the set of rational numbers Is this function Riemann inte-grable? Lebesgue integrable?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
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let f be a function on [0₁1] defined by ifxEQn[0₁1] {x F(x) = Lexi -xif x= [0,1]\Q (Recall that is the set of rational numbers) Q Is this function Riemann inte-grable? Lebesgue integrable?
Transcribed Image Text:let f be a function on [0₁1] defined by ifxEQn[0₁1] {x F(x) = Lexi -xif x= [0,1]\Q (Recall that is the set of rational numbers) Q Is this function Riemann inte-grable? Lebesgue integrable?
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