Re: integral to table values
- To: mathgroup at smc.vnet.net
- Subject: [mg60514] Re: [mg60500] integral to table values
- From: "David Park" <djmp at earthlink.net>
- Date: Mon, 19 Sep 2005 04:45:34 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Dennis,
We can do better than a table. How about a function? Use the Fundamental
Theorem of Calculus and treat it as a differential equation.
Clear[f]
NDSolve[{f'[x] == Sqrt[2x - x^2], f[0] == 0}, f, {x, 0, 2}]
f[x_] = f[x] /. Part[%, 1, 1]
Plot[f[x], {x, 0, 2}];
David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/
From: poster at giganews.com [mailto:poster at giganews.com]
To: mathgroup at smc.vnet.net
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
I have tried substituting a list "{0.1, 0.2, 0.3,}" for the "2" above,
but this does provide the desired result.
Thanks for your help.
Dennis