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Let f be a continuous function [a, b] su...

Let `f` be a continuous function `[a, b]` such that `f(x) gt 0` for all `x in [a,b]`. If `F(x) = int_(a)^(x) f(t) dt` then

A

F is differentiable but not increasing on [a, b]

B

F is differentiable and increasing on [a, b]

C

F is continuous and decreasing on [a, b]

D

F is neither differentiable nor increasing on [ a, b]

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The correct Answer is:
B
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