Difference between revisions of "Riemann sum III"

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Line 11: Line 11:
 
</select></form>
 
</select></form>
 
</html>
 
</html>
 +
 
<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]});
Line 41: Line 42:
 
<option value='upper'> upper
 
<option value='upper'> upper
 
</select></form>
 
</select></form>
<jsxgraph width="800" height="400" box="box">
 
 
</source>
 
</source>
 +
 
<source lang="javascript">
 
<source lang="javascript">
 
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]});
Line 60: Line 61:
 
brd.create('text',
 
brd.create('text',
 
       [1,35,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);
 
       [1,35,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);
</source>
 
<source lang="xml">
 
</jsxgraph>
 
 
</source>
 
</source>
  
 
[[Category:Examples]]
 
[[Category:Examples]]
 
[[Category:Calculus]]
 
[[Category:Calculus]]

Revision as of 14:33, 8 June 2011

Appromximate the integral of [math]f: R\to R, x\mapsto x^2 [/math]

Riemann sum type:

The underlying JavaScript code

<form>Riemann sum type: <select id="sumtype" onChange="brd.update()">
<option value='left' selected> left
<option value='right'> right
<option value='middle'> middle
<option value='trapezodial'> trapezodial
<option value='lower'> lower
<option value='upper'> upper
</select></form>
var brd = JXG.JSXGraph.initBoard('box', {axis:true, boundingbox:[-2,40,8,-5]});
var s = brd.create('slider',[[-1,30],[2,30],[3,50,500]],{name:'n',snapWidth:1});
var a = brd.create('slider',[[-1,20],[2,20],[-10,0,0]],{name:'start'});
var b = brd.create('slider',[[-1,10],[2,10],[0,6,10]],{name:'end'});
var f = function(x){ return x*x; };
var plot = brd.create('functiongraph',[f,function(){return a.Value();}, function(){return b.Value();}]);

var os = brd.create('riemannsum',[f, 
    function(){ return s.Value();}, function(){ return document.getElementById('sumtype').value;},
    function(){return a.Value();}, 
    function(){return b.Value();}
    ], 
    {fillColor:'#ffff00', fillOpacity:0.3});

brd.create('text',
      [1,35,function(){ return 'Sum='+(brd.riemannsum(f,s.Value(),document.getElementById('sumtype').value,a.Value(),b.Value())).toFixed(4); }]);