partial-fractions

Which one of the options given is the inverse Laplace transform of $\rm \frac{1}{s^3-s}$ ? 𝑢(𝑡) denotes the unit-step function.

The inverse Laplace transform of the function $$F\left( s \right) = {1 \over {s\left( {s + 1} \right)}}$$ is given by

The Laplace transform of $$f\left( t \right)$$ is $${1 \over {{s^2}\left( {s + 1} \right)}}.$$ The function

The inverse Laplace transform of $${1 \over {\left( {{s^2} + s} \right)}}$$ is