Typing errors? was ... Some assistance from seasoned users.

*To*: mathgroup at smc.vnet.net*Subject*: [mg124918] Typing errors? was ... Some assistance from seasoned users.*From*: Richard Fateman <fateman at cs.berkeley.edu>*Date*: Sun, 12 Feb 2012 05:02:02 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*References*: <jh6k2n$jr9$1@smc.vnet.net>

On 2/11/2012 12:46 PM, peter livingston wrote: > Folks! > > > > I have recently come to the pleasures of Mathematica from other popular but > very expensive programming methods that I, as a retiree, cannot afford. > > > > My specific question is this: why am I able to get Mathematica to do the > complete integral of sin(x)/x, but it refuses to do any of the other types: > specifically sin^3[x]/x or sin^3[x]/x^3 over the half interval from zero to > infinity. (see page 449 of G& R Table of Integrals). If in fact you are typing Sin^3[x]/x, you might try typing Sin[x]^3/x. You might also be more specific about (a) the subject line of your message, and (b) exactly what Mathematica did. "Refuses" is not very specific. With Mathematica 7 I got pi/4 for the Integrate[Sin[x]^3/x{x,0,Infinity}] > > > > It seems to suggest that throwing away my Gradshtein and Ryzhik is premature > in spite of the claims in the Mathematica "Mathematics and Algorithms" > manual. Regardless of this particular result, I agree.