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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. $\frac{2}{s^{4}}$
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