Evaluating the Superposition Integrals by Retaining the Singularity Functions in the Integrands

This paper shows how the superposition integrals can be evaluated without recourse to changing the limits of integration, when the integrands are zero over a range, through the use of singularity functions. This method avoids the need for sketching the integrands and illustrates the concepts involved in the superposition integrals without restricting the range or duration of the functions involved. As a teaching aid, the approach described is especially useful at the sophomore or junior level, where the students first encounter superposition integrals and singularity functions.