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Re: integrate a sum using Mathematica

• To: mathgroup at smc.vnet.net
• Subject: [mg123697] Re: integrate a sum using Mathematica
• From: Bob Hanlon <hanlonr357 at gmail.com>
• Date: Fri, 16 Dec 2011 05:43:30 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <201112150954.EAA22899@smc.vnet.net>

I don't know what you are trying to do. One of these may be close.

Clear[f, x]

n = 3;

var = Array[x, n]

{x[1], x[2], x[3]}

Total[Integrate[f[#], {#, 0, Infinity}] & /@ var]

Integrate[f[x[1]], {x[1], 0, Infinity}] +
 Integrate[f[x[2]], {x[2], 0, Infinity}] +
 Integrate[f[x[3]], {x[3], 0, Infinity}]

Integrate[Total[f /@ var], Evaluate[Sequence @@ ({#, 0, Infinity} & /@ var)]]

Integrate[f[x[1]] + f[x[2]] + f[x[3]], {x[1], 0, Infinity}, {x[2], 0,
  Infinity}, {x[3], 0, Infinity}]


Bob Hanlon

On Thu, Dec 15, 2011 at 4:54 AM,  <rana_dandis at yahoo.com> wrote:
> How can I integrate a sum using Mathematica
>> eg polyIntegrate[Sum[f[x_[[i]]],{i,1,n}],{x[[i]],0,infinty}]
>> am new in using Mathematica ,,,i have version 7
>

• References:
  • integrate a sum using Mathematica
    • From: rana_dandis@yahoo.com