3.5 Suppose f E R[a, b] and g(x) = f(x) except at finitely many points in [a,b]. Prove: g E R[a, b] and Lote) da = f(a) dz. f(x) dx. (Hint: Write h(x) = g(r) – f(r) and apply Exercise 3.4.) For reference 3.4 1 Suppose h(1) = 0 except at finitely many points 11, 12, . .., Prove: h e R(a, b) and Ek in (a, b]. h(x) dr = 0.
3.5 Suppose f E R[a, b] and g(x) = f(x) except at finitely many points in [a,b]. Prove: g E R[a, b] and Lote) da = f(a) dz. f(x) dx. (Hint: Write h(x) = g(r) – f(r) and apply Exercise 3.4.) For reference 3.4 1 Suppose h(1) = 0 except at finitely many points 11, 12, . .., Prove: h e R(a, b) and Ek in (a, b]. h(x) dr = 0.
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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![3.5 Suppose f E R[a, b] and g(x) = f(x) except at finitely many points in [a,b].
Prove: g E R[a, b] and
Lote) da = f(a) dz.
f(x) dx.
(Hint: Write h(x) = g(r) – f(r) and apply Exercise 3.4.)
For reference
3.4 1 Suppose h(1) = 0 except at finitely many points 11, 12, . ..,
Prove: h e R(a, b] and
, Ek in (a, b].
h(x) dr = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadd5b56d-97e3-4d3c-9aa9-5b563ad77377%2F607039a1-6218-4c11-8986-9d162edea8a1%2Fzo17f8e_processed.png&w=3840&q=75)
Transcribed Image Text:3.5 Suppose f E R[a, b] and g(x) = f(x) except at finitely many points in [a,b].
Prove: g E R[a, b] and
Lote) da = f(a) dz.
f(x) dx.
(Hint: Write h(x) = g(r) – f(r) and apply Exercise 3.4.)
For reference
3.4 1 Suppose h(1) = 0 except at finitely many points 11, 12, . ..,
Prove: h e R(a, b] and
, Ek in (a, b].
h(x) dr = 0.
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