PHYSICS AND MATHEMATICS

The formula for calculating of one class of improper integrals of the first kind

N. M. Pekel'nik, O. I. Khaustova, I. A. Trefilova

Siberian Transport University

Abstract: Article dedicated to the conclusion of the formula to calculate the improper integral containing the product of a special kind of exponential and trigonometric functions. It is shown that this integral expressed in terms of a certain sum, where the terms are the product of the factorials of various exponential functions.

Keywords: improper integral, the Maclaurin series, exponential.

DOI: 10.18454/IRJ.2016.45.148