Mthode D'Intgration
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Home > Art, Film & Photography > Mthode D'Intgration: Intgration Par Changement de Variable, Intgration Par Parties, Rgles de Bioche
Mthode D'Intgration: Intgration Par Changement de Variable, Intgration Par Parties, Rgles de Bioche

Mthode D'Intgration: Intgration Par Changement de Variable, Intgration Par Parties, Rgles de Bioche


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About the Book

Les achats comprennent une adhsion l'essai gratuite au club de livres de l'diteur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur: Intgration par Changement de Variable, Intgration par Parties, Rgles de Bioche. Non illustr. Mises jour gratuites en ligne. Extrait: En mathmatiques, le changement de variable est un procd qui consiste remplacer une variable ou mme une fonction par une autre fonction de celle-ci ou d'un autre paramtre. Ce procd est un des outils principaux pour la rsolution d'intgrales, en analyse. C'est la rgle d'intgration qui dcoule du thorme de drivation des fonctions composes. Soit deux fonctions drivables et sachant, par la dfinition d'intgrale, que alors ce thorme permet d'obtenir Soit calculer On pose le changement de variable et donc avec variant entre et . Par consquent varie entre et . Soit une fonction numrique continue, et une fonction de classe (c'est--dire drivable et dont la drive est continue) sur un intervalle et dont l'image est contenue dans le domaine de dfinition de . Alors La fonction tant continue, on considre une primitive de sur l'ensemble de dfinition de . La fonction est alors drivable, comme compose de deux fonctions drivables et on a: D'o Utilisons le thorme pour crire l'intgrale de sur dans le cas o est une fonction monotone. On voit ainsi que dans les deux cas on a C'est cette formule qu'on peut gnraliser au cas des intgrales multiples (voir ci-dessous). Lorsque est une fonctions de plusieurs variables, on remplace par une transformation bijective, de classe ainsi que sa fonction rciproque. Outre le changement du domaine d'intgration on utilise la valeur absolue du jacobien de la place de . Le jacobien est le dterminant de la matrice jacobienne . On donne ici la formulation explicite du changement de variable et le lecteur se reportera l'a...http: //booksllc.net/?l=fr


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Product Details
  • ISBN-13: 9781159794835
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • No of Pages: 22
  • Spine Width: 1 mm
  • Weight: 45 gr
  • ISBN-10: 1159794839
  • Publisher Date: 04 Aug 2010
  • Binding: Paperback
  • Language: French
  • Returnable: N
  • Sub Title: Intgration Par Changement de Variable, Intgration Par Parties, Rgles de Bioche
  • Width: 229 mm


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