The Laplace Transform Of $t e ^ { - t }$

Multiple Choice

The Laplace transform of $t e ^ { - t }$ is

A) $1 / ( s - 1 )$
B) $1 / ( s - 1 ) ^ { 2 }$
C) $1 / ( s + 1 )$
D) $1 / ( s + 1 ) ^ { 2 }$
E) $1 / \left( s ^ { 2 } - 1 \right)$