# GATE2014-2

For the time domain function $f(t)=t^{2}$, which $ONE$ of the following is the Laplace transform of $\int _{0}^{t}f\left ( t \right )dt$?
1. $\frac{3}{s^{4}}$
2. $\frac{1}{4s^{2}}$
3. $\frac{2}{s^{3}}$
4. $\frac{2}{s^{4}}$