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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
Transcribed Image Text: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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