The moment of inertia of a uniform thin rod of mass $M$ and length $L$ about an axis passing through its center and perp

Question

The moment of inertia of a uniform thin rod of mass $M$ and length $L$ about an axis passing through its center and perpendicular to its length is:

Accepted Answer

By integrating $dI = x^2 dm$ from $-L/2$ to $+L/2$, the moment of inertia about the central perpendicular axis is $I = \frac{1}{12}ML^2$.

System of Particles and Rotational Motion