Table of Laplace Transforms of Elementary Functions
Below are some functions $f(t)$ and their Laplace transforms $F(s)$.
| $f(t)$ | $F(s) = \mathcal{L} \left\{f(t)\right\}$ |
| $1$ | $\dfrac{1}{s}$ |
| $t$ | $\dfrac{1}{s^2}$ |
| $t^2$ | $\dfrac{2}{s^3}$ |
| ... | ... |
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