To solve for the inverse Laplace transform, we need a specific Laplace domain function $F(s)$. If you provide the function $F(s)$, I can calculate its inverse Laplace transform for you.

For example, if $F(s) = \frac{1}{s^2 + 1}$, the inverse Laplace transform is:

$\mathcal{L}^{-1} \left( \frac{1}{s^2 + 1} \right) = \sin(t).$

If you have a specific $F(s)$, please share it for detailed solution steps!

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Relative Questions:

1. What is the Laplace domain function $F(s)$ you would like to transform?
2. Should I include partial fraction decomposition in the solution if $F(s)$ is complex?
3. Are there any boundary conditions or initial values relevant to the problem?
4. Do you need a step-by-step derivation of the inverse Laplace transform?
5. Would you like a review of common Laplace transform properties for reference?

Tip: Always check the poles of $F(s)$ when working with the Laplace transform—they guide the region of convergence and the nature of the solution.