Elementary evaluation of $\int_0^\infty{sin^p t/t^q} dt$

Details Elementary evaluation of $\int_0^\infty{sin^p t/t^q} dt$ Elementary evaluation of $\int_0^\infty{sin^p t/t^q} dt$

2004-01-10

arxiv.org/abs/math/0401099v1

Mathematics

General Mathematics

5 pages

Scientific paper

Let $p$ and $q$ be two positive integers, The goal of this note is to
demonstrate, in a very simple and elementary way without using advanced tools,
a formula to express the value of the Integral: $I(p,q)=\int_0^\infty{\sin^p
t\over t^q}dt$ when it converges.

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