Evaluation of the generalized Goodwin-Staton integral using binomial expansion theorem

A new analytical technique for evaluating the generalized Goodwin-Staton integral (GGS) is described. A closed-form evaluation is presented. The GGS integral are expressed in terms of linear combinations of binomial coefficients and incomplete gamma function. A further comparison of analytical results with numerical models demonstrates a high accuracy of the developed analytical solution. The convergence of the results is shown.