The Laplace Transform Of $\int _ { 0 } ^ { t } \tau ^ { 2 } \cos ( t - \tau ) d \tau$

Multiple Choice

The Laplace transform of $\int _ { 0 } ^ { t } \tau ^ { 2 } \cos ( t - \tau ) d \tau$ is

A) $2 / \left( s ^ { 2 } \left( s ^ { 2 } + 1 \right) \right)$
B) $1 / \left( s ^ { 2 } \left( s ^ { 2 } + 1 \right) \right)$
C) $2 / \left( s ^ { 3 } \left( s ^ { 2 } + 1 \right) \right)$
D) $6 / \left( s ^ { 2 } \left( s ^ { 2 } + 1 \right) \right)$
E) $6 / \left( s ^ { 3 } \left( s ^ { 2 } + 1 \right) \right)$