June $6,2024$

c$2$s$7$n$03$ac

Integrate the following.

$F(s)={\displaystyle \underset{0}{\overset{}{}}}{e}^{-st}2H(-2t)e^{8t}dt$

A$.\frac{2e^{-2s}{e}^{16}}{-8s}$

B$.\frac{5e^{-2s}{e}^{10}}{-5s}$

C$.\frac{7e^{-2s}{e}^{16}}{-8s}$

D$.\frac{9e^{-2s}{e}^2}{-1s}$

E$.$ None of the above.