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Let f: [1,oo) – [2,oo) be differentiable...

Let `f: [1,oo) – [2,oo)` be differentiable function such that `f(1) = 1/3`. If `t int_1^x f(t) dt = 3x f(x) - x^3 ` for all `x ge 1` then the value of f(2) is equal to

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