Applications of complex variable residue theory to the evaluation of irrational definite integrals III

摘要

In this paper, eight irrational definite integrals were evaluated using complex variable residue theory. Two of the integrals were zero since these integrals could be shown to be odd functions integrated over even intervals. The other six integrals were evaluated and their solutions are given in Section 5. The complex variable method of isolating the residue and reordering the series continues to produce useful infinite series solutions to complex problems.