Re: Multiple Integrals

• To: mathgroup at smc.vnet.net
• Subject: [mg117609] Re: Multiple Integrals
• From: Murray Eisenberg <murray at math.umass.edu>
• Date: Thu, 24 Mar 2011 06:30:01 -0500 (EST)

```I don't understand what more you could want, really: you're going to
have to supply as input the function expression, the names of the
variables, and the lower- and upper-limit for each.

So the only conceivable simplification I can see is to let the names of
the variables be automatically generated by a defined multipleIntegrate
function you define. But is that a significant saving?  You'll already
have to provide 2n + 1 inputs; is adding another n (the names x1, x2,
..., xn) such a big deal?

On 3/23/2011 3:56 AM, schomi wrote:
> Hi everybody
>
> I'm having troubles with multiple integrals in Mathematica and hope
> that you guys might be able to help me.
>
> Calculating a multiple integral per se is not such a big deal, for
> instance for n=2 the code would be of the form
>
> Integrate[f(x, y), {x, x_min, x_max}, {y, y_min,y_max}].
>
> What I'd like to have is a general formula for computing an intergral
> in R^n, ie of the form
>
> Integrate[f(x1, x2, ...., xn), {x1, x1_min, x1_max}, {x2,
> x2_min,x2_max}, ...., {xn, xn_min, xn_max}]
>
> The dots .... should of course be replaced by code. Is there a way to
> build something of this form?
>
> Any help would be appreciated. In case I am not making myself clear,
> do not hesitate to ask question and I'll try to give you a better
> explanation.
>
> Thanks a lot!
>
> schomi
>

--
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305

```

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