If the linear mass density of a rod of length $L$ varies as $\lambda = kx^3$,determine the position of its centre of mass (where $x$ is the distance from one of its ends and $k$ is a constant):
- A$\frac{2L}{3}$
- B$\frac{L}{2}$
- C$\frac{4L}{5}$
- D$\frac{5L}{4}$
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