100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
Sumario Integrales dobles $4.09
Add to cart
Quickly navigate to
Preview
  2.  
  3. National University Of Luján (UNLu )
  4.  
  5. Análisis Matemático II

Summary

Sumario Integrales dobles
 0 purchase
  • Course
  • Análisis Matemático II
  • Institution
  • National University Of Luján (UNLu )

En este resumen vas a encontrar explicaciones, propiedades, teoremas, ejemplos de ejercicios resueltos y respuesta a ejercicios de libro "Lecciones de Análisis II" de Alfredo Novelli. Temas: - Integrales dobles - Dominios medibles en R2 - Propiedades de la integral doble - Dominio normal con ...

[Show more]

Preview 2 out of 11  pages

Document information

  • March 16, 2021
  • 11
  • 2020/2021
  • Summary

Subjects

  • integrales dobles
  • dominios medibles en r2
  • propiedades de la integral doble
  • dominio normal respecto a los ejes

Written for

  • National University of Luján (UNLu )
  • Análisis Matemático II
All documents for this subject (36)

Seller

avatar-seller
PuntoIngenieria

Content preview

Integrales múltiples

Dominios medibles de


Dado un dominio del plano , éste será normal respecto al eje si:
- Podemos determinar el intervalo base, es decir si al proyectar el dominio sobre el eje
obtenemos un intervalo cerrado y acotado , .
- Podemos identificar las curvas que representan a la función inferior ( ) y a la función
superior ( ) (continuas y ( )≤ ≤ ( ) en el intervalo base)




De la misma forma se define un dominio normal respecto al eje , es decir será aquel que esté
comprendido entre dos funciones ( ) y ( ) continuas en el intervalo base , , tales que ( ) <
( ) en ( , ) mientras que en uno (o los dos extremos del intervalo puede ser ( ) ≤ ( ).




Integrales dobles


Sea un dominio medible del plano y sea = ( ) = ( , )una función continua en .

, Tomemos una ( , ) > 0 para comprender mejor la interpretación geométrica:




Dividamos al dominio en pequeños rectángulos iguales de lados paralelos a los ejes y
consideremos sólo aquellos contenidos totalmente en .
En cada rectángulo elijamos un punto y calculemos el producto Área de . ( ), Este
producto representa el volumen del prisma rectangular recto de base y altura ( ):

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller PuntoIngenieria. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $4.09. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

72056 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 15 years now

Start selling
$4.09
  • (0)
Add to cart
Added