Evaluations of a Class of Integrals That Arise in Wave Scattering Problems by Using the Taylor Product Theorem

Taylor product theorem is applied to the evaluation of a class of integrals that arise in high-frequency wave scattering problems. We expand a term 1/(t
²
+ 1) under the integral into exponentiated powers of t that are suitable for term-by-term integrations. We utilize the expansion in an example and make accuracy and speed analysis.