Re: Integration bug
- To: mathgroup at smc.vnet.net
- Subject: [mg38497] Re: Integration bug
- From: carlos at colorado.edu (Carlos Felippa)
- Date: Fri, 20 Dec 2002 04:25:31 -0500 (EST)
- References: <atp6v0$909$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
"Dana DeLouis" <delouis at bellsouth.net> wrote in message news:<atp6v0$909$1 at smc.vnet.net>... > I am new to Mathematica also, but I seem to recall a bug in the use of > the variable "d" before also. This was the first thing I thought of. > Changing "d" to something like "z" gives the answer of Pi. The Integrate behavior seems to be connected to lexicographic ordering of the variables. For example (from 4.2): ClearAll[x,z,a,b]; Print[Integrate[Cos[x+z]/(x+z)^2,{x,-Infinity,Infinity}] //InputForm]; Print[Integrate[Cos[x+z]/(x+z)^2,{z,-Infinity,Infinity}] //InputForm]; Print[Integrate[Cos[x+z]/(x+z)^3,{x,-Infinity,Infinity}] //InputForm]; Print[Integrate[Cos[x+z]/(x+z)^3,{z,-Infinity,Infinity}] //InputForm]; Print[Integrate[Sin[x+a+b]/(x+a+b),{x,-Infinity,Infinity}] //InputForm]; Print[Integrate[Sin[x+a+b]/(x+a+b),{a,-Infinity,Infinity}] //InputForm]; Print[Integrate[Sin[x+a+b]/(x+a+b),{b,-Infinity,Infinity}] //InputForm]; -Pi 0 -CosIntegral[-z]/2 + CosIntegral[z]/2 0 0 Pi - SinIntegral[-b - x] - SinIntegral[b + x] 0