# A problem by Harshil Patel

Level pending

Let $$f$$ : [1,$$\infty)$$ $$\Longrightarrow$$ [2,$$\infty)$$ be a differentiable function such that f(1)=2. If 6$$\int_1^x f(t) dt = 3xf(x) - x^{3}$$ for all x$$\geq$$1, then the value of f(2) is

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