Suppose that f is integrable on [a.b] and define the functions f*(x)= [ f(x), f(x)20 f(x) s0 and f(x)=fx) f(x) >0 %3! f(x)
Suppose that f is integrable on [a.b] and define the functions f*(x)= [ f(x), f(x)20 f(x) s0 and f(x)=fx) f(x) >0 %3! f(x)
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 integrable on [a,b], and define the functions
f*(x)=! (x), f(x)20
f(x)<0
f(x) 2 0
f"(x) =.
f(x)
and
f(x)<o'
Prove that f+ and f- are integrable on [a,b].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4bb4eefd-dd37-467a-a804-21be65c43f49%2F8d66c844-a2aa-4cfc-b967-dc8062f0e8f0%2Fnxh8xo_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that f is integrable on [a,b], and define the functions
f*(x)=! (x), f(x)20
f(x)<0
f(x) 2 0
f"(x) =.
f(x)
and
f(x)<o'
Prove that f+ and f- are integrable on [a,b].
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