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Question

Let a function f:[0,5]R, be continuous, f(1)=3 and F be defined as:
F(x)=x1t2g(t) dt, where g(t)=t1f(u) du. Then for the function F, the point x=1 is

A
a point of inflection
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B
a point of local maxima
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C
a point of local minima
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D
not a critical point
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