Show that G is differentiable and find its derivative. Let g [a, b] R be bounded. Prove or disprove: if g² is Riemann integrable on [a, b] then g is Riemann integrable on [a, b].
Show that G is differentiable and find its derivative. Let g [a, b] R be bounded. Prove or disprove: if g² is Riemann integrable on [a, b] then g is 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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Please can you help me with the second part of the question, many thanks
![Assume that h: [a, b] → R is a continuous function and let G: [a,b] → R denote
the following function,
G(x) = ²h(t)dt.
Show that G is differentiable and find its derivative.
Let g: [a, b] → R be bounded. Prove or disprove: if g² is Riemann integrable on
[a, b] then g is Riemann integrable on [a, b].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cd65f5e-cd9b-4ebd-8782-d68ac507cfe7%2Fe1427df9-97c1-4a0c-b0e2-13d9a5342e6a%2F4eppoau_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assume that h: [a, b] → R is a continuous function and let G: [a,b] → R denote
the following function,
G(x) = ²h(t)dt.
Show that G is differentiable and find its derivative.
Let g: [a, b] → R be bounded. Prove or disprove: if g² is Riemann integrable on
[a, b] then g is Riemann integrable on [a, b].
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