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MathGroup Archive 1999

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Re: Multiple Integrals

  • To: mathgroup at smc.vnet.net
  • Subject: [mg20014] Re: [mg19989] Multiple Integrals
  • From: BobHanlon at aol.com
  • Date: Sat, 25 Sep 1999 02:40:42 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

George,

intgrl1 = 
    Integrate[
      1, {x[1], 0, 1}, {x[2], k[1], x[1]}, {x[3], k[2], x[2]}, {x[4], k[3], 
        x[3]}  ];

In your second integral you had a list where you needed a sequence.

intgrl2 = 
    Integrate[1, {x[1], 0, 1}, 
      Sequence @@ Table[{x[n], k[n - 1], x[n - 1]}, {n, 2, 4}] ] ;

intgrl1 == intgrl2

True

Bob Hanlon

In a message dated 9/24/1999 2:50:17 AM, george at netvision.net.il writes:

>I am trying to evaluate multiple integrals of the following form:
>
>Integrate[1,
>  {x[1], 0, 1},
>  {x[2], k[1], x[1]},
>  {x[3], k[2], x[2]},
>  {x[4], k[3], x[3]}  ]
>
>
>This works! However, when I try to compactify this in the following
>manner
>
> Integrate[1,
>  {x[1], 0, 1},
>  Table[{x[n], k[n - 1], x[n - 1]}, {n, 2, 4}]  ]
>
>
>it doesn't work. I think I got something with the Table wrong. Why?
>


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