<iframe src="https://jsxgraph.uni-bayreuth.de/share/iframe/riemann-integrability" style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" name="JSXGraph example: Riemann integrability" allowfullscreen ></iframe>
<div id="board-0-wrapper" class="jxgbox-wrapper " style="width: 100%; "> <div id="board-0" class="jxgbox" style="aspect-ratio: 1 / 1; width: 100%;" data-ar="1 / 1"></div> </div> <script type = "text/javascript"> /* This example is licensed under a Creative Commons Attribution ShareAlike 4.0 International License. https://creativecommons.org/licenses/by-sa/4.0/ Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits. */ const BOARDID = 'board-0'; var board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-3, 5, 3, -3], axis: true }); var p = []; p.push(board.create('point', [-2.7, (Math.random() - 0.2) * 5])); p.push(board.create('point', [-1, (Math.random() - 0.2) * 5])); p.push(board.create('point', [0, (Math.random() - 0.2) * 5])); p.push(board.create('point', [1, (Math.random() - 0.2) * 5])); p.push(board.create('point', [2.7, (Math.random() - 0.2) * 5])); var f = JXG.Math.Numerics.lagrangePolynomial(p); var n = board.create('slider', [[-1, 3], [2, 3], [1, 10, 50]], { name: 'n', snapWidth: 1 }); var plot = board.create('functiongraph', [f, -3, 3]); var up = board.create('riemannsum', [f, function() { return n.Value(); }, 'upper', -3, 3], { fillColor: '#ff0000', fillOpacity: 0.3 }); var lo = board.create('riemannsum', [f, function() { return n.Value(); }, 'lower', -3, 3], { fillColor: '#ffff00', fillOpacity: 0.3 }); board.create('text', [-2, -2, function() { return 'Diff=' + (JXG.Math.Numerics.riemannsum(f, n.Value(), 'upper', -3, 3) - JXG.Math.Numerics.riemannsum(f, n.Value(), 'lower', -3, 3)).toFixed(4); }]); </script>
/* This example is licensed under a Creative Commons Attribution ShareAlike 4.0 International License. https://creativecommons.org/licenses/by-sa/4.0/ Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits. */ const BOARDID = 'your_div_id'; // Insert your id here! var board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-3, 5, 3, -3], axis: true }); var p = []; p.push(board.create('point', [-2.7, (Math.random() - 0.2) * 5])); p.push(board.create('point', [-1, (Math.random() - 0.2) * 5])); p.push(board.create('point', [0, (Math.random() - 0.2) * 5])); p.push(board.create('point', [1, (Math.random() - 0.2) * 5])); p.push(board.create('point', [2.7, (Math.random() - 0.2) * 5])); var f = JXG.Math.Numerics.lagrangePolynomial(p); var n = board.create('slider', [[-1, 3], [2, 3], [1, 10, 50]], { name: 'n', snapWidth: 1 }); var plot = board.create('functiongraph', [f, -3, 3]); var up = board.create('riemannsum', [f, function() { return n.Value(); }, 'upper', -3, 3], { fillColor: '#ff0000', fillOpacity: 0.3 }); var lo = board.create('riemannsum', [f, function() { return n.Value(); }, 'lower', -3, 3], { fillColor: '#ffff00', fillOpacity: 0.3 }); board.create('text', [-2, -2, function() { return 'Diff=' + (JXG.Math.Numerics.riemannsum(f, n.Value(), 'upper', -3, 3) - JXG.Math.Numerics.riemannsum(f, n.Value(), 'lower', -3, 3)).toFixed(4); }]);
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Riemann integrability" description="This construction was copied from JSXGraph examples database: BTW HERE SHOULD BE A GENERATED LINKuseGlobalJS="false"> /* This example is licensed under a Creative Commons Attribution ShareAlike 4.0 International License. https://creativecommons.org/licenses/by-sa/4.0/ Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits. */ var board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-3, 5, 3, -3], axis: true }); var p = []; p.push(board.create('point', [-2.7, (Math.random() - 0.2) * 5])); p.push(board.create('point', [-1, (Math.random() - 0.2) * 5])); p.push(board.create('point', [0, (Math.random() - 0.2) * 5])); p.push(board.create('point', [1, (Math.random() - 0.2) * 5])); p.push(board.create('point', [2.7, (Math.random() - 0.2) * 5])); var f = JXG.Math.Numerics.lagrangePolynomial(p); var n = board.create('slider', [[-1, 3], [2, 3], [1, 10, 50]], { name: 'n', snapWidth: 1 }); var plot = board.create('functiongraph', [f, -3, 3]); var up = board.create('riemannsum', [f, function() { return n.Value(); }, 'upper', -3, 3], { fillColor: '#ff0000', fillOpacity: 0.3 }); var lo = board.create('riemannsum', [f, function() { return n.Value(); }, 'lower', -3, 3], { fillColor: '#ffff00', fillOpacity: 0.3 }); board.create('text', [-2, -2, function() { return 'Diff=' + (JXG.Math.Numerics.riemannsum(f, n.Value(), 'upper', -3, 3) - JXG.Math.Numerics.riemannsum(f, n.Value(), 'lower', -3, 3)).toFixed(4); }]); </jsxgraph>
// Define the id of your board in BOARDID var board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-3, 5, 3, -3], axis: true }); var p = []; p.push(board.create('point', [-2.7, (Math.random() - 0.2) * 5])); p.push(board.create('point', [-1, (Math.random() - 0.2) * 5])); p.push(board.create('point', [0, (Math.random() - 0.2) * 5])); p.push(board.create('point', [1, (Math.random() - 0.2) * 5])); p.push(board.create('point', [2.7, (Math.random() - 0.2) * 5])); var f = JXG.Math.Numerics.lagrangePolynomial(p); var n = board.create('slider', [[-1, 3], [2, 3], [1, 10, 50]], { name: 'n', snapWidth: 1 }); var plot = board.create('functiongraph', [f, -3, 3]); var up = board.create('riemannsum', [f, function() { return n.Value(); }, 'upper', -3, 3], { fillColor: '#ff0000', fillOpacity: 0.3 }); var lo = board.create('riemannsum', [f, function() { return n.Value(); }, 'lower', -3, 3], { fillColor: '#ffff00', fillOpacity: 0.3 }); board.create('text', [-2, -2, function() { return 'Diff=' + (JXG.Math.Numerics.riemannsum(f, n.Value(), 'upper', -3, 3) - JXG.Math.Numerics.riemannsum(f, n.Value(), 'lower', -3, 3)).toFixed(4); }]);
This example is licensed under a Creative Commons Attribution ShareAlike 4.0 International License. Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits.