$(6)$ Perform ONE integration by parts on $($assuming $s-10)$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{e}^{-1}{t}^{2}dt$

by letting $u=t^{\text{'}}$ and letting $dv=e^{-t}dt.$ Your answer WILL have an integral in it$.$ Please note that $,$ is just treated as a constant. Integratinn is with respect to $t($not with respect to $s).$