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?
>