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Let f[1, infty) to [2, infty) be a diffe...

Let `f[1, infty) to [2, infty)` be a differentiable function such that `f(1) =1/3`. If `6 int_(1)^(x) f(t) dt = 3x f(x) -x^(3)` for all `x ge 1`, then the value of `3f(2)` is

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