Lorenzo Fornari, Enrico Laeng and Vittorino Pata
The authors propose a rather elementary method to compute a family of integrals on the half line, involving positive powers of sin x and negative powers of x, depending on the…
Abstract
Purpose
The authors propose a rather elementary method to compute a family of integrals on the half line, involving positive powers of sin x and negative powers of x, depending on the integer parameters
Design/methodology/approach
Combinatorics, sine and cosine integral functions.
Findings
The authors prove an explicit formula to evaluate sinc-type integrals.
Originality/value
The proof is not present in the current literature, and it could be of interest for a large audience.