A direct computation of a certain family of integrals

Purpose The authors propose a rather elementary method to compute family of integrals on the half line, involving positive powers sin x and negative , depending integer parameters n≥q≥1 . Design/methodology/approach Combinatorics, sine cosine integral functions. Findings prove an explicit formula evaluate sinc-type integrals. Originality/value proof is not present in current literature, it could be interest for large audience.