It's important to note that there is a connection between this and what we learned in school about logarithms. In other words, in order to multiply two numbers, we first compute their logarithms, then add them, and finally use the table of antilogarithms to return the original product. Similar to this, we first

The answer to the original problem is obtained by converting the problem from a function of f(t) to a problem in F(s), performing some computations, and then using the table of the inverse Laplace transform.