  Recently, it was found that a new set of simple techniques allow one to
conveniently express ordinary integrals through differentiation. These
techniques add to the general toolbox for integration and integral transforms
such as the Fourier and Laplace transforms. The new methods also yield new
perturbative expansions when the integrals cannot be solved analytically. Here,
we add new results, for example, on expressing the Laplace transform and its
inverse in terms of derivatives. The new methods can be used to express path
integrals in terms of functional differentiation, and they also suggest new
perturbative expansions in quantum field theory.
