Evaluate the definite integral.

$5($ex $$ e$$x$)$ dx$5$

STEP $1$:$$Begin by finding the general integral.

$5($ex $$ e$$x$)$ dx$5$

$=$

$55$

$$

STEP $2$:Substitute the limits of integration.

$$

e$5+$ e$5$

STEP $3$:Simplify.