... where f is someknown function of integration x and the parameter , a and b are constants independent of x and , and the par-tial derivative exists and it is continuous, then .ft() ttf t()dds ... that(2.18)(2.19) and in general(2.20)To prove (2.18), we let and as we found above,Then,Relations (2.19) and (2.20) can be proved by similar procedures.We must remember that the terms , and so on, ... t()0∞∫est–dt=Signals and Systems with MATLAB Applications, Second Edition 2-5Orchard PublicationsProperties of the Laplace TransformUsing integration by parts where(2.17)we let and . Then, , , and thusThe...