How to Find the Inverse Laplace Transform for a Given Function?

mr.engineer
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""Invers laplace transformation""

Homework Statement



Find invers laplace transform f(t) for F(s)= s /((s+a)^2 +w^2)) ?


Homework Equations





The Attempt at a Solution



i have the final answer but i need the steps to know how i can do it exactly
the final answer is :
f(t) = t^k sin(wt) e^-at
 
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I am curious where the k comes from. It is not in your transform.
 


yeah your notation is good,i there is something missing in my function
the true function is F(s)= s/((s+a)^2+w^2)^n , there is power n on the denominator.
t^k is just the power of t term causes by n maybe its the same gap with me..
 
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