<iframe 
    src="https://jsxgraph.uni-bayreuth.de/share/iframe/antiderivative" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Antiderivative" 
    allowfullscreen
></iframe>

<div id="board-0-wrapper" class="jxgbox-wrapper " style="width: 100%; ">
   <div id="board-0" class="jxgbox" style="aspect-ratio: 2 / 1; width: 100%;" data-ar="2 / 1"></div>
</div>

<script type = "text/javascript"> 
    /*
    This example is licensed under a 
    Creative Commons Attribution 4.0 International License.
    https://creativecommons.org/licenses/by/4.0/
    
    Please note you have to mention 
    The Center of Mobile Learning with Digital Technology
    in the credits.
    */
    
    const BOARDID = 'board-0';

    const board = JXG.JSXGraph.initBoard(BOARDID, {
        boundingbox: [-3, 10, 3, -3],
        axis: true,
        showClearTraces: true
    });
    
    var p = [];
    p.push(board.create('point', [-2, Math.random() * 5 + 5], {
        name: '',
        size: 2
    }));
    p.push(board.create('point', [0, 2], {
        name: '',
        size: 2
    }));
    p.push(board.create('point', [0.5, Math.random() * 1 + 7], {
        name: '',
        size: 2
    }));
    
    // f defines the function graph through the three points
    var f = JXG.Math.Numerics.lagrangePolynomial(p);
    
    var plot = board.create('functiongraph', [f, -3, 3]);
    
    var s = board.create('glider', [-2, f(-2), plot], {
        name: 'drag me',
        color: 'black',
        size: 5
    });
    var int = board.create('integral', [
        [function() {
            return p[0].X();
        }, function() {
            return s.X();
        }], plot
    ], {
        fillOpacity: 0.2
    });
    
    var F = board.create('point', [function() {
        return s.X();
    }, function() {
        return JXG.Math.Numerics.I([p[0].X(), s.X()], f);
    }], {
        trace: true,
        name: 'F',
        fillColor: '#0000aa',
        strokeColor: '#0000aa',
        face: '[]'
    });
 </script> 

<jsxgraph width="100%" aspect-ratio="2 / 1" title="Antiderivative" 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 4.0 International License.
   https://creativecommons.org/licenses/by/4.0/
   
   Please note you have to mention 
   The Center of Mobile Learning with Digital Technology
   in the credits.
   */
   
   const board = JXG.JSXGraph.initBoard(BOARDID, {
       boundingbox: [-3, 10, 3, -3],
       axis: true,
       showClearTraces: true
   });
   
   var p = [];
   p.push(board.create('point', [-2, Math.random() * 5 + 5], {
       name: '',
       size: 2
   }));
   p.push(board.create('point', [0, 2], {
       name: '',
       size: 2
   }));
   p.push(board.create('point', [0.5, Math.random() * 1 + 7], {
       name: '',
       size: 2
   }));
   
   // f defines the function graph through the three points
   var f = JXG.Math.Numerics.lagrangePolynomial(p);
   
   var plot = board.create('functiongraph', [f, -3, 3]);
   
   var s = board.create('glider', [-2, f(-2), plot], {
       name: 'drag me',
       color: 'black',
       size: 5
   });
   var int = board.create('integral', [
       [function() {
           return p[0].X();
       }, function() {
           return s.X();
       }], plot
   ], {
       fillOpacity: 0.2
   });
   
   var F = board.create('point', [function() {
       return s.X();
   }, function() {
       return JXG.Math.Numerics.I([p[0].X(), s.X()], f);
   }], {
       trace: true,
       name: 'F',
       fillColor: '#0000aa',
       strokeColor: '#0000aa',
       face: '[]'
   });
</jsxgraph>