In order to apply the above formula, we need to transform the integrand. We do this by substituting . Then,

Now take

and find the inverse Laplace transform. We note that

It turns out that the constant, , works out nicely:

We now use the linearity of the Laplace transform to obtain

so that

Now substitute into the formula obtained in the beginning, with :

Now rearrange this to obtain

To work out the final integral, substitute :

Finally,

so that