Ebook: Sinc integrals analytically found

From The Ramanujan Journal, 5 (2001), no. 1, 73–89.Abstract.Using Fourier transform techniques, we establish inequalities for integrals of the form $$smallint _0^x prodlimits_{k = 0}^n {frac{{sin (akx)_{} }}{{akx}}dx.} $$We then give quite striking closed form evaluations of such integrals and finish by discussing various extensions and applications.