A cantilever beam AB is acted upon by a uniformly distributed moment $($bending moment, not torque$)$ of inten$-$ sity m per unit distance along the axis of the beam $($see figure$).$

Derive the equation of the deflection curve and then obtain formulas for the deflection $8$g and angle of rotation $08$ at the free end. $($Note: Use the second$-$order differential equation of the deflection curve.$)$