Consider two functions fi : [0,1] → R and fa : [1,2) R defined by:fi(2) = 42" - 1 and fa(x) = 6 – 2r.Let f(z) = h(x) if 0szs1Then f is Riemann integrable sinceLa(x) , if 1

In the given question we have to chosse the correct option in the given question where f(x) is a…

Answered: Consider two functions fi: (0, 1]R and…

Consider two functions fi: (0, 1]R and fa: 1,2R defined by : h(2) = 4z -1 and fa(x) = 6 – 2r. 15150n () Then f is Riemann integrable since Let f(r) Ua(z) , if 1

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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Differential Equations

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Question

Consider two functions fi : [0,1] → R and fa : [1,2) R defined by:
fi(2) = 42" - 1 and fa(x) = 6 – 2r.
Let f(z) = h(x) if 0szs1
Then f is Riemann integrable since
La(x) , if 1<r< 2
1. f is bounded on (0, 2).
2. f is a bounded piecewise continuous function over (0, 2).
3. lim S,(P) ER and lim s/(P) ER.
4. f is monotonic on (0, 2).
O 1
O 2
Оз
O 4

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