       Re: NIntegrate with Minimize

• To: mathgroup at smc.vnet.net
• Subject: [mg53550] Re: [mg53549] NIntegrate with Minimize
• From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
• Date: Tue, 18 Jan 2005 05:07:49 -0500 (EST)
• References: <200501170324.WAA05954@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```On 17 Jan 2005, at 04:24, Oz wrote:

> Hiya,
>
> I'm having trouble performing a numerical integration that involves a
> Minimize. I think it might have something to do with HoldAll, but am
> not
> sure how to fix it (couldn't find any actual solutions that worked in
> the archives). Any help most appreciated. Here is a simplified version
> of the code (the function and constraints I'm actually using are more
> complicated):
>
> ff[a_] := First[Minimize[{x + a, 0 â?¤ x â?¤ 2}, {x}]]
> NIntegrate[ff[a], {a, 0, 6}]
>
> Mathematica raises a Minimize::objv error, complaining that a+x
> contains
> a nonconstant expression independent of x, and so the NIntegrate fails.
> Ideas?
>
> Thanks,
> Oz
>
>
>
The thing to do is to restrict the domain of the function ff only to
numeric quatntities as folows:

ff[a_?NumericQ] := First[Minimize[{x + a, 0 <= x <= 2}, {x}]]

NIntegrate[ff[a], {a, 0, 6}]

18.

Andrzej Kozlowski
Chiba, Japan
http://www.akikoz.net/~andrzej/
http://www.mimuw.edu.pl/~akoz/

```

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