Jd. Evans et Tl. Roberson, APPLICATIONS OF COMPLEX VARIABLE RESIDUE THEORY FOR EVALUATING IRRATIONAL DEFINITE INTEGRALS .6., Applied mathematics and computation, 63(1), 1994, pp. 35-57
In this paper, four irrational definite integrals are evaluated using
complex variable residue theory. Two of the integrals are evaluated us
ing the Procedure of isolating the residue by finding the constant coe
fficient of the 1/z term. Two other integrals are determined by partia
l differentiation of the previously determined series.