As we saw in the previous section computing Laplace transforms directly can be quite complex. Generally we just utilize a table of transforms when actually calculating Laplace transforms. The table which is provided now is not an inclusive table, but does comprise most of the generally used Laplace transforms and most of the commonly required formulas pertaining to Laplace transforms.

Before doing a couple of illustrations to exemplify the use of the table let's find a quick fact out of the manner.

Fact

Given f(t) and g(t) so,

L {af (t) + bg (t)} = a F (s) + b G (s)

For any constants a and b.

Conversely, we don't worry about constants and we don't worry regarding to sums or differences of functions in comprising Laplace transforms.  All that we require to do is take the transform of the individual functions, so put any constants back in and add or subtract the outcomes back up.