Suppose that f is integrable on [a,b] and define the functions f*(x) = | F(x), f(x)20 [0, and f-(x)=- f(x) 2 0 f(x)<0 f(x)<0° Prove that f¯ are integrable on [a,b].
Suppose that f is integrable on [a,b] and define the functions f*(x) = | F(x), f(x)20 [0, and f-(x)=- f(x) 2 0 f(x)<0 f(x)<0° Prove that f¯ are integrable on [a,b].
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
rw-
f(x) > 0
f*(x) = f(x), f(x)20
and f"(x)
f(x)
0,
f(x) <0
f(x)<0
Prove that
fr are integrable on [a,b].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b50f1cb-d733-4993-a90e-08002307ad42%2F5142d583-a1c1-4ef2-acd7-407207645e56%2Fvqps40r_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that f is integrable on [a,b], and define the functions
rw-
f(x) > 0
f*(x) = f(x), f(x)20
and f"(x)
f(x)
0,
f(x) <0
f(x)<0
Prove that
fr are integrable on [a,b].
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