A prismatic, straight, elastic, cantilever beam is subjected ti a linearly distributed transverse load as shown below. If the beam length is $L$, Young’s modulus $E$, and area moment of inertia $I$, the magnitude of the maximum deflection is
1. $\frac{qL^4}{15EI}$
2. $\frac{qL^4}{30EI}$
3. $\frac{qL^4}{10EI}$
4. $\frac{qL^4}{60EI}$