       Re: Integrals

• To: mathgroup at smc.vnet.net
• Subject: [mg21125] Re: Integrals
• From: "Allan Hayes" <hay at haystack.demon.co.uk>
• Date: Fri, 17 Dec 1999 01:21:23 -0500 (EST)
• References: <831jfo\$dho@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```"Juan Carlos Heredia" <jheredia at mail.com> wrote in message
news:831jfo\$dho at smc.vnet.net...
> I would like to know  How to Plot defined integrals?.
> Could you give me please an example. I need to do it now.
> Thanks a lot.

Juan,

Some ideas

Plot[Integrate[x, {x, 0, y}], {y, 0, 1}] // Timing

Plot[Evaluate[Integrate[x, {x, 0, y}]], {y, 0, 1}] // Timing (*faster*)

Plot[Integrate[x, x], {x, 0, 1}] (*fails)

Plot[Evaluate[Integrate[x, x]], {x, 0, 1}] (*works OK*)

Plot[NIntegrate[Sin[Exp[x^2]], {x, 0, y}], {y, 0, 1.2}] // Timing (*slow*)

(soln = NDSolve[{
y'[x] == Sin[Exp[x^2]],
y == 0},
y, {x, 0, 1.2}]) // Timing

s = y /. %[]

Plot[s[x], {x, 0, 1.2}] // Timing                   (*faster*)

Allan
---------------------
Allan Hayes
Mathematica Training and Consulting
Leicester UK
www.haystack.demon.co.uk
hay at haystack.demon.co.uk
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565

```

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