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Let a function f: [0,5] rarr R be contin...

Let a function f: `[0,5] rarr R` be continuous , f(1) =3 and F be definded as : `F(x)=int_(1)^(x)t^2 g(t)dt,` where `g(t) = int_(1)^(t)f(u)du.`
Then for the function F, the point x=1 is

A

a point of local minima ,

B

not a critical point.

C

a point of indflection.

D

a point of local maxima

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The correct Answer is:
`A`
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