Intégration par parties

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Tutoriel Javascript 7: Intégrale de Riemann

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X Min = X Max = Y Min = Y Max =


f(x)=


f(x)= Exemples sin(2 x) - 1 / 10 x^2 + 3 2 + cos(x/2) x^2 / 20 ln(x) sqrt(x) cbrx


Paramètres de la somme: a = b = Nombre de rectangles n =




Source : http://webspace.ship.edu/msrenault/tutorial/Tutorial%207%20-%20Incorporating%20JavaScript.html

Code:

<form name="MyForm">
 Min X = <input name="LowXField" size="5" value="-1" type="text">
 Max X = <input name="HighXField" size="5" value="9" type="text">
 Min Y = <input name="LowYField" size="5" value="-2" type="text">
 Max Y = <input name="HighYField" size="5" value="5" type="text">
 <input value="Afficher la fenêtre" onclick="setView()" type="button">

<p>
 
 f(x) = <input name="FunctionField" size="30" value=" "> 
 <input value="Graphique" onclick="setFunction()" type="button">  
 <p>
 
 f(x) = <select name="ExampleSelect"> 
  <option value="">Exemples</option>
  <option value="sin(2 x) - 1 / 10 x^2 + 3">sin(2 x) - 1 / 10 x^2 + 3</option>
  <option value="2 + cos(x/2)">2 + cos(x/2)</option>

<option value="x^2 / 20">x^2 / 20</option>
  <option value="ln(x)">ln(x)</option>
  <option value="sqrt(x)">sqrt(x)</option>
  <option value="cbrt(x)">cbrt(x)</option>
  </select>
 <input value="Charger l'exemple" onclick="exampleLoader()" type="button"> 
 <p>

Paramètres de la somme: a = <input name="A" size="5" value="1" type="text">
     b = <input name="B" size="5" value="7" type="text">
    Nombre de rectangles n = <input name="N" size="5" value="12" type="text">
 <input value="Valider" onclick="setRiemann()" type="button">

</form>


<script type="text/javascript">
 function setView() {
  var applet = document.ggbApplet;
  var LowX = document.MyForm.LowXField.value;
  var HighX = document.MyForm.HighXField.value;
  var LowY = document.MyForm.LowYField.value;
  var HighY = document.MyForm.HighYField.value;

  applet.setCoordSystem(LowX, HighX, LowY, HighY);
 }

 function setFunction() {
  var applet = document.ggbApplet;
  var func = "f(x) = " + document.MyForm.FunctionField.value;
  applet.evalCommand(func);
 }

 function exampleLoader() {
  var func = document.MyForm.ExampleSelect.value;
  if (func != "") {
   document.MyForm.FunctionField.value = func;
   setFunction();
  }
 }
 
 function setRiemann() {
  var applet = document.ggbApplet;
  var a = document.MyForm.A.value
  var b = document.MyForm.B.value
  var n = document.MyForm.N.value
  
  applet.evalCommand("a = " + a);
  applet.evalCommand("b = " + b);
  applet.evalCommand("n = " + n);
 }
 
</script>

Exercice 17: Aire entre deux courbes

Tutoriels utilisés 2,8.

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Exercice 16: Intégrale de Riemann

Tutoriels utilisés: 2,8

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Tutoriel 19: Naviguer dans les étapes de construction, intégration par parties

La première vidéo montre les possibilités de navigation dans l'historique de la construction d'un fichier GeoGebra et la seconde l'utilisation du fichier.

J'ai placé le fichier IPP en ligne car l'insertion du code HTML ne permet pas de conserver les fonctionnalités du fichier original.

Exercice 10: La valeur moyenne d'une fonction

Utilisation des tutoriels 2,5,6,8.

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