You're given that

$$

$1$

$4$

$$

$$

$$

$$

$=$

$5$

$1$

$.$

$8$

$8$

$0$

$$

$1$

$4$

$$

e

x

dx$=51\mathrm{.}880($to three decimal places$).$ Using properties of definite integrals and exponentials, find

$$

$4$

$1$

$2$

$$

$($

$$

$+$

$3$

$)$

$$

$$

$$

$$

$4$

$1$

$$

$2$e

$($x$+3)$

dx$$