FresnelFormulaeResult 2009-04-29 09:57:17 2009-04-29 09:57:17 Result Fresnel formulae The Fresnel formulae presented in the parent entry-- that the proof refers to-- are as follows: $$\int_0^\infty\!\cos{x^2}\,dx \,=\, \int_0^\infty\!\sin{x^2}\,dx \,=\, \frac{\sqrt{2\pi}}{4}$$ (invisible there because of a current quirk with pstricks vs. Tex).