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| Zeile 12: |
Zeile 12: |
| :<math>\int_a^b f(x) dx</math> | | :<math>\int_a^b f(x) dx</math> |
| gegeben. | | gegeben. |
|
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| <html>
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| <head>
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| <script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/jsxgraph/1.4.6/jsxgraphcore.js"></script>
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| <link rel="stylesheet" type="text/css" href="https://cdnjs.cloudflare.com/ajax/libs/jsxgraph/1.4.6/jsxgraph.css" />
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| </head>
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| <body>
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| <div id="box2" style="width:20%; aspect-ratio:3/2; margin-top:20px;""></div>
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| <script type="text/javascript">
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| // Zweites JSXGraph-Board
| |
| var board = JXG.JSXGraph.initBoard('box2', { // Korrektur: 'box2' statt 'divid'
| |
| boundingbox: [-5, 5, 5, -5], // Angepasste Boundingbox für die Skalierung
| |
| axis: true,
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| showCopyright: false,
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| showNavigation: true,
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| grid: true, // Gitternetz aktivieren
| |
| defaultAxes: {
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| x: {
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| withLabel: true,
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| name: 't',
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| label: {
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| position: 'rt',
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| offset: [-5, 15],
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| fontSize: 16,
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| anchorX: 'right'
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| },
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| ticks: {
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| ticksDistance: 1,
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| minorTicks: 0
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| }
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| },
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| y: {
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| withLabel: true,
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| name: 'f(t)',
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| label: {
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| position: 'rt',
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| offset: [15, 5],
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| fontSize: 16,
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| anchorY: 'right'
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| },
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| ticks: {
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| ticksDistance: 1,
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| minorTicks: 0
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| }
| |
| }
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| }
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| });
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|
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| var c1 = board.create('functiongraph', [function(t) {
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| return (Math.pow(t, 5) / 24 - Math.pow(t, 3) / 2 + t);
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| }]);
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|
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| // Integral erstellen
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| var i1 = board.create('integral', [
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| [-2.0, 2.0], c1
| |
| ], {
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| withLabel: true,
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| label: {
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| fontSize: 20,
| |
| digits: 4,
| |
| intl: {
| |
| enabled: false,
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| options: {
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|
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| }
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| }
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| }
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| });
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| </script>
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| </body>
| |
| </html>
| |
|
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|
| Für auf den Intervallen <math>[a;b]</math> und <math>[b;c]</math> stetige Funktionen <math>f, ~g</math> gelten die folgenden Rechenregeln: | | Für auf den Intervallen <math>[a;b]</math> und <math>[b;c]</math> stetige Funktionen <math>f, ~g</math> gelten die folgenden Rechenregeln: |