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f(x) : [0, 5] → R, F(x) = int(0)^(x) x^2...

`f(x) : [0, 5] → R, F(x) = int_(0)^(x) x^2 g(x)`, f(1) = 3
g(x) = `int_(1)^(x) f(t) dt ` then correct choice is

A

`F(x)` has local minimum at `x = 1`

B

`F(x)` has local maximum at `x = 1`

C

`F(x)` has point of inflection at `x = 1`

D

`F(x)` has no critical point

Text Solution

Verified by Experts

The correct Answer is:
A
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