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: [JEE Main 2023, 31 Jan (Shift 1)]

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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 \(12 f(8)\) …

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