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Let f : [0,2] rarr R be a function which...

Let f : [0,2] `rarr` R be a function which is continuous on [0 , 2] and is differentiable on (0 , 2) with f(0) = 1. Let
F(x) =`int_0^(x^2) f(sqrtt)dt`
for `x in [0,2]`. If F'(x) = f'(x) for all `x in (0,2)`, then F(2) equals

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