Evaluate the definite integral and simplify your answer. $$ee$41$xln$($x$)$dx

Question $2$ options:

A$)$

ln$($e$4)-$ln$($e$1)$

B$)$

ln$($ln$($e$4))-$ln$($ln$($e$1))$

C$)$

ln$(4)$

D$)$

$3$

E$)$