Answer to Question #232314 in Math for abi

Question

L{ s/ (s²+1)² }

Answer 1

$$f(t)=L^{-1}\big(\dfrac{s}{(s^2+1)^2}\big)=\dfrac{1}{2}L^{-1}\big(\dfrac{2(1)s}{(s^2+(1)^2)^2}\big)$$

$$=\dfrac{1}{2}t\sin t$$

$$f(t)=L^{-1}\big(\dfrac{s}{(s^2+1)^2}\big)=\dfrac{1}{2}t\sin t$$