
Re: integral for fun
Posted:
Mar 1, 2014 8:28 AM


On Saturday, March 1, 2014 6:33:56 AM UTC+2, Richard Fateman wrote: > I don't consider a solution that includes > > Si, Ci, or hypergeometric functions as a solution > > in closed form in terms of elementary functions. > > > > Unless there is no way of expressing the answer in > > terms of elementary functions. > > > > After all, you could always decide that the > > difficult integral in question deserves its own > > name, say FooI, and then return the answer in terms > > of FooI. > > > > RJF
I agree with you. You can name my integral Matuzas[a]=Integrate[Cos[x]^4/(a^8 + x^8), {x, \[Infinity], \[Infinity]}] as new function. But you have to do table of this integral properties: differentiation, integration, differential equation it supports, Fourier series, expressions with another functions. And everybody should use it :) How to evaluate numerical it is no problem . Actually the same is with Ci, Si and ect... Numerically we know how to evaluate. But the same is with elementary functions, is'n it?

