Suppose that f is a function on [a, b] such that f(x) = 0 for all x e [a, b]\T , where T is finite set. Show that f is integrable and that f = 0.
Suppose that f is a function on [a, b] such that f(x) = 0 for all x e [a, b]\T , where T is finite set. Show that f is integrable and that f = 0.
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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![Suppose that f is a function on [a, b] such that f(x) = 0 for all x e [a, b]\T , where T is finite set. Show
that f is integrable and that
f = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7e7c908-505f-4c35-8ac4-e541f2ab69b2%2F34d92d54-5f10-4200-9042-d959f4e980a4%2F28jpnk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that f is a function on [a, b] such that f(x) = 0 for all x e [a, b]\T , where T is finite set. Show
that f is integrable and that
f = 0.
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