Question: a) Give an example of a function f : [3, 9] -> R which is integrable and such that F(z) = f(t)dt is differentiable on

a) Give an example of a function f : [3, 9] -> R which is integrable and such that F(z) = f(t)dt is differentiable on (3, 9), but F' (x) # f(x) for at least one value of a E (3, 9). Give reasons for your answer. You can write mathematical expressions in words as you would read them aloud or use the equation editor. 2 > Equation A - A- Ix BIUSX X Styles Font . . . Words: 0 b) Give an example of a function g : [3, 9] - R which is integrable but is not differentiable for at least one value of a E (3, 9). Give reasons for your answer. You can write mathematical expressions in words as you would read them aloud or use the equation editor. |2 > Equation A - A- Ix BIUSXX Styles Font . . . Words: 0

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