Let $a$ differentiable function $f$ satisfy $$ f(x)+\int_3^x \frac{f(t)}{t} d t=\sqrt{x+1}, x \geq 3 . $$ Then $12 f(8)$ is equal to:

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Let \(a\) differentiable function \(f\) satisfy \[ f(x)+\int_3^x \frac{f(t)}{t} d t=\sqrt{x+1}, x \geq 3 . \] Then \(12 …