  This article proposes a new approach in the treatment of the Hilbert
transform and some cases of the Fourier transform whose improper integrals are
principal values. This approach may be useful for teaching these issues to
undergraduate engineering students. Traditional literature of Complex Analysis
deals with these transformation integrals with the Cauchy-Goursat theorem and
the residues calculation technique. In this new approach, instead of residues,
we use an intuitive result about complex line integrals of continuous complex
functions that resembles the delta of Dirac.
