Riemannsum - Documentation

Usage (signatures)

board.create('riemannsum', [f, n, typeopt, aopt, bopt]);

Parameters

Name	Type	Attributes	Default	Description
`f`	function \| Array			Either a function term f(x) describing the function graph which is filled by the Riemann bars, or an array consisting of two functions and the area between is filled by the Riemann bars.
`n`	Number \| function			Determines the number of bars, it is either a fixed number or a function
`type`	String \| function	<optional>	`'left'`	A string or function returning one of the values: 'left', 'right', 'middle', 'lower', 'upper', 'random', 'simpson', or 'trapezoidal'. Default value is 'left'. "simpson" is Simpson's 1/3 rule.
`a`	Number \| function	<optional>		Left interval border a of the domain of the Riemann sum
`b`	Number \| function	<optional>		Right interval border a of the domain of the Riemann sum

Examples

// Create Riemann sums for f(x) = 0.5*x*x-2*x.
  var s = board.create('slider',[[0,4],[3,4],[0,4,10]],{snapWidth:1});
  var f = (x) => 0.5*x*x-2*x;
  var r = board.create('riemannsum',
              [f, () => s.Value(), 'upper', -2, 5],
              {fillOpacity:0.4}
              );
  var g = board.create('functiongraph',[f, -2, 5]);
  var t = board.create('text',[-2,-2, function(){ return 'Sum=' + JXG.toFixed(r.Value(), 4); }]);

// Riemann sum between two functions
  var s = board.create('slider',[[0,4],[3,4],[0,4,10]],{snapWidth:1});
  var g = function(x) { return 0.5*x*x-2*x; };
  var f = function(x) { return -x*(x-4); };
  var r = board.create('riemannsum',
              [[g,f], function(){return s.Value();}, 'lower', 0, 4],
              {fillOpacity:0.4}
              );
  var f = board.create('functiongraph',[f, -2, 5]);
  var g = board.create('functiongraph',[g, -2, 5]);
  var t = board.create('text',[-2,-2, function(){ return 'Sum=' + JXG.toFixed(r.Value(), 4); }]);

Attributes