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