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3-4 Calculs d’intégrations [OPTN]-[CALC]-[
dx]
Pour effectuer des calculs d’intégrations, affichez d’abord le menu d’analyse de
fonctions, puis entrez les valeurs indiquées dans la formule suivante.
Règle de Gauss-Kronrod
4(dx) f(x) , a , b , tol )
( f(x), a, b, tol)
a
b
f(x)dx
Règle de Simpson
4(dx) f(x) , a , b , n )
( f(x), a, b, n)
a
b
f(x)dx, N = 2
n
Comme indiqué sur l’illustration ci-dessus, les calculs d’intégration sont
exécutés en calculant les valeurs intégrales de a à b pour la fonction y = f (x)
quand a < x < b et f (x) > 0*. La surface de la zone ombrée sur l’illustration est
ainsi calculée.
*Quand f (x) < 0 dans a < x < b, le calcul de l’aire produit des valeurs
négatives (aire sous l’axe x).
k Changement des méthodes de calcul d'intégration
Cette calculatrice peut utiliser la règle de Gauss-Kronrod ou la règle de Simpson
pour effectuer des calculs d'intégration. Pour sélectionner une méthode, affichez
l’écran de configuration et sélectionnez “Gaus” (pour la règle de Gauss-Kronrod)
ou "Simp" (pour la règle de Simpson) pour le paramètre Intégration.
Toutes les explications de ce mode d’emploi utilisent la règle de Gauss-Kronrod.
Nombre de divisions (valeur de
n
dans
N = 2
n
,
n
étant un entier de 1 à 9)
Point final
Point initial
Tolérance
Point final
Point initial
Zone calculée par
a
b
f(x)dx
P. 6
90

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