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() (intégrale)
Catalogue >
(Expr1, Var[, Borne1, Borne2])
expression
(Expr1, Var[, Constante]) expression
Affiche l'intégrale de Expr1 pour la variable
Var entre Borne1 et Borne2.
Remarque : voir aussi le modèle Intégrale
définie ou indéfinie, page 6.
Remarque : vous pouvez insérer cette
fonction à partir du clavier en entrant
integral(...).
Donne une primitive si Borne1 et Borne2
sont omises. La constante d'intégration est
omise si vous spécifiez l'argument
Constante.
Les primitives valides peuvent différer
d'une constante numérique. Ce type de
constante peut être masqué, notamment
lorsqu'une primitive contient des
logarithmes ou des fonctions
trigonométriques inverses. De plus, des
expressions constantes par morceaux sont
parfois ajoutées pour assurer la validité
d'une primitive sur un intervalle plus grand
que celui d'une formule courante.
() retourne les intégrales non évaluées des
morceaux de Expr1 dont les primitives ne
peuvent pas être déterminées sous forme
de combinaison explicite finie de fonctions
usuelles.
Si Borne1 et Borne2 sont toutes les deux
spécifes, la fonction tente de localiser
toute discontinui ou dérivée discontinue
comprise dans l'intervalle Borne1 < Var <
Borne2 et de subdiviser l'intervalle en ces
points.
246


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