The linear mass density of a thin rod AB of length L varies from A to B as λ (x) = λ0 (1 + x/L), Where x is the distance from A.

Question

The linear mass density of a thin rod AB of length L varies from A to B as λ(x) = λ₀ ( 1+ \(\frac{X}{L}\)), Where x is the distance from A. If M is the mass of the rod then its moment of inertia about an axis passing through A and perpendicular to the rod is

Answer 1

Correct answer is