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## Homework Statement

$${ { L } }^{ -1 }\{ \frac { s }{ { ({ s }^{ 2 }+1) }^{ 2 } } \} +{ { L } }^{ -1 }\{ \frac { 1 }{ { ({ s }^{ 2 }+1) }^{ 2 } } \}$$

## Homework Equations

## The Attempt at a Solution

I used ##{ { L } }\{ { t }^{ n }f(t)\} ={ (-1) }^{ n }\frac { { d }^{ n } }{ d{ s }^{ n } } { { L } }\{ f(t)\}## to do the laplace transform but how would I approach the inverse? If you just decide to do the inverse of ##{ { L } }\{ { t }^{ n }f(t)\} ={ (-1) }^{ n }\frac { { d }^{ n } }{ d{ s }^{ n } } { { L } }\{ f(t)\}##, can you explain how you knew how you identified to do that?