lcc & $f(t)=\mathcal{L}^{-1}\{F(s)\}$ & $F(s)=\mathcal{L}\{f(t)\}$ &
Notes\\
1. 1 & $\frac{1}{s},             \quad                            s>0$ &
Sec. 6.1; Ex. 4\\
2. $e^{a                   t}$ & $\frac{1}{s-a},$, & $s>a$ & Sec. 6.1;
Ex. 5\\
3.
$t^{n},                 \quad                                                                                                                                         n=$
positive integer & $\frac{n !}{s^{n+1}}, \quad          s>0$ & Sec. 6.1;
Prob. 31\\
4.
$t^{p},                 \quad                                                                                                                                         p>-1$
& $\frac{\Gamma(p+1)}{s^{p+1}},$, & $s>0$ & Sec. 6.1; Prob. 31\\