A direct computation of a certain family of integrals
A direct computation of a certain family of integrals
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 <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mrow><m:mi>n</m:mi><m:mo>≥</m:mo><m:mi>q</m:mi><m:mo>≥</m:mo><m:mn>1</m:mn></m:mrow></m:math> . Design/methodology/approach Combinatorics, sine and cosine integral functions. Findings The authors prove an …