The inverse Laplace transform of $F ( s ) = \left( 3 s ^ { 2 } + 1 \right) / \left( s ^ { 2 } \cdot \left( s ^ { 2 } + 1 \right) \right)$ is
A) $2 \cos t + t ^ { 2 }$
B) $2 \sin t + t ^ { 2 }$
C) $2 \cos t + t$
D) $2 \sin t + t$
E) $\sin t + 2 t$

Question

Quizplus · Accepted Answer

The Answer is D

The Inverse Laplace Transform Of F(s)=(3s2+1)/(s2⋅(s2+1))F ( s ) = \left( 3 s ^ { 2 } + 1 \right) / \left( s ^ { 2 } \cdot \left( s ^ { 2 } + 1 \right) \right)F(s)=(3s2+1)/(s2⋅(s2+1))

The Inverse Laplace Transform Of $F ( s ) = \left( 3 s ^ { 2 } + 1 \right) / \left( s ^ { 2 } \cdot \left( s ^ { 2 } + 1 \right) \right)$