Re: NIntegrate and Plot

• To: mathgroup at smc.vnet.net
• Subject: [mg30430] Re: [mg30408] NIntegrate and Plot
• From: BobHanlon at aol.com
• Date: Sat, 18 Aug 2001 04:04:56 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```In a message dated 2001/8/17 3:45:32 AM, y.tesiram at pgrad.unimelb.edu.au
writes:

>I would like to plot the integral of,
>
>(Sech[betaN * x^n])^2 ,
>
>where beatN=121.643 and n=2 say. I have started by making a table of x
>values as
>
>np=100;
>x1 = Table[(-0.5 + ((i -1)/(np-1)), {i,1,np}];
>x2 = t1^n;
>x3 = (Sech[betaN * x^n])^2;
>
>I have tried NIntegrate but of course that just returns the total area
>of
>x3.
>

f[x_, n_:2, betaN_:121.643] := Sech[betaN*x^n]^2;

Plot[f[x], {x, -0.5, 0.5},
PlotRange -> All,
PlotStyle -> RGBColor[0, 0, 1]];

Plot[NIntegrate[f[t], {t, -0.5, x}],
{x, -0.5, 0.5},
PlotStyle -> RGBColor[1, 0, 0]];

To combine these plots into one, you would probably want to use separate
scales for the curves.  See:

http://support.wolfram.com/Graphics/Axes/TwoAxisGraph.html

Bob Hanlon
Chantilly, VA  USA

```

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