Difficult# Center of Mass (CoM): Non-Uniform Density Rod, Polynomial

APPHMC-WQOPUI

A thin rod lies along the x-axis from $x=0$ to $x=3cm$. The linear density of the rod, $\lambda$, is given by the equation: $\lambda =2+{ x }^{ 2 }$ and is in units of g/cm.

Where is the Center of Mass of the rod?