Question: If f is a differentiable function such that f(x) is never 0 and 0 x f(t) dt = [f(x)] 2 for all x, Find

If f is a differentiable function such that f(x) is never 0 and ∫ 0 x  f(t) dt = [f(x)] 2  for all x,
Find f(x).

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