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JEE Advance 2011
Paper-1
Question
Let $f:[1, \infty) \rightarrow[2, \infty)$ be a differentiable function such that $f(1)=2$. If $6 \int_1^x f(t) d t=3 x f(x)-x^3$ for all $x \geq$ 1 , then the value of $f(2)$ is
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