Q No. 2: (a) Show that if fis a constant function on [a, b], then f € R[a,b] and find its integral. (b) Let fbe a function defined by 1 if x€ Qn [a, b] |-1 if xe (÷)n [a, b]. f(x) = Show that fis not Riemann-integrable on [a, b].
Q No. 2: (a) Show that if fis a constant function on [a, b], then f € R[a,b] and find its integral. (b) Let fbe a function defined by 1 if x€ Qn [a, b] |-1 if xe (÷)n [a, b]. f(x) = Show that fis not Riemann-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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Subject: Real Analysis
![Q No. 2: (a) Show that if fis a constant function on [a, b], then f e R[a, b] and find its integral.
(b) Let fbe a function defined by
1 if x € Qn [a, b]
|-1 if xe ()n [a, b].
f(x) =-
Show that fis not Riemann-integrable on [a, b].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3ba4651-86d3-4d35-8a55-b746238e5037%2F1fd711c4-a4be-4186-a4ab-3df674ba00d6%2Fwl7dos_processed.png&w=3840&q=75)
Transcribed Image Text:Q No. 2: (a) Show that if fis a constant function on [a, b], then f e R[a, b] and find its integral.
(b) Let fbe a function defined by
1 if x € Qn [a, b]
|-1 if xe ()n [a, b].
f(x) =-
Show that fis not Riemann-integrable on [a, b].
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