Answer: 4.29 kg/m
Explanation:The average density could be calculated by taking the integral of the rho function and dividing it by length of the rod
The integral function sums up all the density and then dividing by length gives us the average density
[tex]rho_a=\frac{1}{3} \int\limits^3_0 {9/x +1} \, dx \\rho_a=(9ln x +x)/3\\rho_a=(9ln3+3)/3\\rho_a=4.29 kg/m[/tex]