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Let f:[1,oo) to [2,oo) be a differenti...

Let `f:[1,oo) to [2,oo)` be a differentiable function such that `f(1)=2.` If `6int_1^xf(t)dt=3xf(x)-x^3` for all `xgeq1,` then the value of `f(2)` is

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