The value of maximum deflection for a cantilever beam of length l and carrying uniformly varying load from zero at free end to w per unit length at fixed end is

A

$$\frac{wl^3}{8} EI$$

B

$$\frac{wl^3}{16} EI$$

C

$$\frac{wl^4}{30} EI$$

D

$$\frac{wl^3}{48} EI$$