Riemann sum III: Difference between revisions
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Appromximate the integral of   | |||
<math>f: R\to R, x\mapsto x^2 </math>  | <math>f: R\to R, x\mapsto x^2 </math>  | ||
<html>  | <html>  | ||
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<jsxgraph width="800" height="400" box="box">  | <jsxgraph width="800" height="400" box="box">  | ||
var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox:[-2,40,8,-5]});  | var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox:[-2,40,8,-5]});  | ||
var s = brd.create('slider',[[1,30],[5,30],[  | var s = brd.create('slider',[[-1,30],[5,30],[3,50,500]],{name:'n',snapWidth:1});  | ||
var a = brd.create('slider',[[1,20],[  | var a = brd.create('slider',[[-1,20],[3,20],[-10,0,0]],{name:'start'});  | ||
var b = brd.create('slider',[[1,10],[  | var b = brd.create('slider',[[-1,10],[3,10],[0,6,10]],{name:'end'});  | ||
var f = function(x){ return x*x; };  | var f = function(x){ return x*x; };  | ||
var plot = brd.create('functiongraph',[f,function(){return a.Value();}, function(){return b.Value();}]);  | var plot = brd.create('functiongraph',[f,function(){return a.Value();}, function(){return b.Value();}]);  | ||
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     ],    |      ],    | ||
     {fillColor:'#ffff00', fillOpacity:0.3});  |      {fillColor:'#ffff00', fillOpacity:0.3});  | ||
brd.createElement('text',[-6,-4,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);  | brd.createElement('text',[-6,-4,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);  | ||
</jsxgraph>  | </jsxgraph>  | ||
Revision as of 15:25, 2 February 2010
Appromximate the integral of [math]\displaystyle{ f: R\to R, x\mapsto x^2 }[/math]
The underlying JavaScript code
<jsxgraph width="800" height="400" box="box">
</jsxgraph>