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Taha T.

asked • 05/11/20

HARD CALCULUS QUESTION, HEEELP!!!

If f is integrable on [a, b], show by example that :

t

F (t) = ∫ f(x) dx

a


is continuous but need not to be differentiable.

note: the integral from (a) to (t).




1 Expert Answer

By:

Douglas B. answered • 05/11/20

Tutor
4.8 (36)

Calculus expertise

Taha T.

to be honest, i don't really know what to write :( can you help me?
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05/11/20

Douglas B.

tutor
For example, let f(x) = x (0= 1). Then, F(t) for (t>0) will be continuous but not differentiable.
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05/11/20

Douglas B.

tutor
For the first part, I meant to write f(x) (0
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05/11/20

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