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Let a function f:[0,5] to R be continuou...

Let a function `f:[0,5] to R` be continuous, `f(1)=3` and F be defined 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 inflection.

B

a point of local maxima.

C

a point of local minima.

D

not a critical point.

Text Solution

Verified by Experts

The correct Answer is:
C
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