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Let f:[1,oo] be a differentiable fun...

Let `f:[1,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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To solve the problem, we start with the given equation: \[ 6 \int_1^x f(t) \, dt = 3x f(x) - x^3 \] for all \( x \geq 1 \). ...
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