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MathGroup Archive 2005

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Re: integral to table values

  • To: mathgroup at smc.vnet.net
  • Subject: [mg60508] Re: integral to table values
  • From: Bill Rowe <readnewsciv at earthlink.net>
  • Date: Mon, 19 Sep 2005 04:45:29 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

On 9/18/05 at 1:15 AM, poster at giganews.com wrote:

>I can integrate the following expression.

>Integrate[Sqrt[2x - x^2], {x, 0, 2}]

>But, how can I get a TABLE of data? I want to vary the upper limit
>(h) over a range from 0 to 2.

>Ultimately, the table should look like this.

>  h        val
>-----     -----
>0.000     0.000
>0.100     0.029

>.....
>
>1.000     0.785
>
>.....

>0.800     0.586
>1.900     1.541
>2.000     1.570

h[(n_)?NumericQ] := 
  NIntegrate[Sqrt[2*x - x^2], {x, 0, n}]
Table[{n, h[n]}, {n, 0, 1, 0.1}]

Note, since you asked for a numeric table, I've used NIntegrate rather than Integrate. There is little point to using Integrate if you are not looking for a symbolic answer.
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