Calculating (\int_0^\infty(sin^2n x)/x^2n dx)

Details Calculating (\int_0^\infty(sin^2n x)/x^2n dx) Calculating (\int_0^\infty(sin^2n x)/x^2n dx)

2010-04-14

arxiv.org/abs/1004.2653v1

International e-Journal of Engineering Mathematics: Theory and Application 2009 vol 7

Mathematics

General Mathematics

Scientific paper

In this paper we will extend the Lobachevsky works about Dirichlet integral,
and we will find a method for calculating(\int_0^\infty (sin^2n x)/x^2n
dx),where f({\pi}+x)=f(x) and f({\pi}-x)=f(x)

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