Difficult# Center of Mass: Non-Uniform Rod, Exponential

APPHMC-FX7SUI

A thin rod lies along the x-axis from $x=0$ to $x=2.7cm$. The linear density of the rod, $\lambda$, is given by the equation: $\lambda ={ 1+e }^{ x }$ and has units of g/cm.

Where is the Center of Mass of the rod?