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