Let \(f\) be a differentiable function such that \(x^2 f(x)-x=4 \int_0^x t f(t) d t, f(1)=\frac{2}{3}\). Then \(18 f(3)\…

Let \(f\) be a differentiable function such that \(x^2 f(x)-x=4 \int_0^x t f(t) d t, f(1)=\frac{2}{3}\). Then \(18 f(3)\) is equal to

[JEE Main 2023, 10 Apr (Shift 1)]