1. Set up an integral for finding the Laplace transform of .

    help (formulas)

    where and .

  2. Find the antiderivative (with constant term 0) corresponding to the previous part.



  3. Evaluate appropriate limits to compute the Laplace transform of :



  4. Where does the Laplace transform you found exist? In other words, what is the domain of ?

    help (inequalities)

You can earn partial credit on this problem.