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Let f: RR be a differentiable function such that its derivative f' is continuous and f(n) = 6. If F: [0, 1 by F(x)

Let f: RR be a differentiable function such that its derivative f' is continuous and f(n) = 6. If F: [0, 1 by F(x) = f(t)dt, , and if ] R is defined (f'(x)+F(x)) cosx dx = 2 0 then the value of f(0) is

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