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 denotethe 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].

Answered: Show that G is differentiable and find…

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].

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.4: Spanning Sets And Linear Independence

Problem 76E: Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are...

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Question

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].

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