# The force applied against a moving object travelling on a linear path is given by F(x)=1+xe^x . How much work would it take to move the object over x in [3,7] ?

$W = 6 {e}^{7} - 2 {e}^{3}$
$W = {\int}_{3}^{7} \left(1 + x {e}^{x}\right) d x$
$W = {\left[{e}^{x} \left(x - 1\right)\right]}_{3}^{7}$
$W = \left[{e}^{7} \left(7 - 1\right)\right] - \left[{e}^{3} \left(3 - 1\right)\right]$
$W = 6 {e}^{7} - 2 {e}^{3}$