Using Part(a) of this problem prove that [*r(e) f(x) dx < [*9(x) a g(x) dx
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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Use part a to prove
![Assume that bounded functions f, g [a, b] → R are integrable.
(a)
if f(x) > 0 for all x = [a, b], then
[ f(x) dx ≥ 0
a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fecc418e3-a973-4d51-90e0-10d2ad078b59%2F08b02026-c0d2-408b-bd2c-4f0cbb3806e8%2F8uy39oh_processed.png&w=3840&q=75)
Transcribed Image Text:Assume that bounded functions f, g [a, b] → R are integrable.
(a)
if f(x) > 0 for all x = [a, b], then
[ f(x) dx ≥ 0
a
![Using Part(a) of this problem prove that
[*r(e)
f(x) dx <
[*9(x)
a
g(x) dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fecc418e3-a973-4d51-90e0-10d2ad078b59%2F08b02026-c0d2-408b-bd2c-4f0cbb3806e8%2Fd68nwad_processed.png&w=3840&q=75)
Transcribed Image Text:Using Part(a) of this problem prove that
[*r(e)
f(x) dx <
[*9(x)
a
g(x) dx
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