Title: Calculo Integral: Con Funciones Trascendentes Tempranas -Language: spanish
Publisher: Editorial Hipotenusa
Publication Date: 2016
Language: Spanish
ISBN 10: 980658807X
ISBN 13: 9789806588073
Binding: Soft cover
Condition: New

About this title

Synopsis

Obra dise�ada para ser el texto de un segundo o un tercer curso de C�lculo, para estudiantes de ciencias o ingenier�a.

Este texto, junto al libro C�lculo Diferencial, cubren todo, o casi todo, el contenido del c�lculo de una variable.

Se ha buscado equilibrar la teor�a, la pr�ctica y las aplicaciones. Cada tema es acompa�ado de numerosos ejemplos. Cada secci�n es reforzada con una selecci�n de problemas resueltos. Aqu�, los problemas t�picos y de relevancia, son desarrollados con todo detalle. La gran mayor�a de teoremas son presentados con su respectiva demostraci�n. Adem�s, a lo largo de toda la obra, son resaltados ciertos aspectos hist�ricos.

CONTENIDO:

Cap�tulo 1. La integral indefinida

-La antiderivada.

-Integraci�n por sustituci�n.

-Integraci�n por partes

Cap�tulo 2. Otras tecnicas de integraci�n

-Integrales de productos trigonom�tricas.

-Sustituci�n trigonom�trica.

-Integrales Hiperb�licas.

-Integraci�n por fracciones parciales: Casos I y II.

-Integraci�n por fracciones parciales: Casos III y IV.

-Integrales racionales de seno y coseno. Sustituci�n de Weirerstrass.

-Algunas integrales irracionales.

-Ecuaciones diferenciales elementales.

Cap�tulo 3. La integral definida

-La notaci�n sigma.

-�rea.

-La integral definida.

-�rea entre curvas.

-Valor medio para integrales.

-Integraci�n num�rica.

Cap�tulo 4. Aplicaciones de la integral definida

-Volumen. M�todo de las rebanadas.

-Volumen de un s�lido de revoluci�n. M�todos del disco y de las arandelas

-Volumen. M�todo de los tubos cil�ndricos.

-Longitud de una curva plana.

-�rea de una superficie de revoluci�n.

-Momentos y centros de masa.

-Trabajo.

-Presi�n y fuerza hidrost�tica.

Cap�tulo 5. Integrales impropias y algunas funciones especiales

-Introducci�n.

-Integrales impropias de primera especie: L�mites de integraci�n infinitos

-Integrales impropias de segunda especie: Integrandos infinitos

-Criterios de convergencia para integrales impropias.

-La funci�n gamma.

-La funci�n beta.

-Transformada de Laplace.

Cap�tulo 6. Ecuaciones param�tricas

-Ecuaciones param�tricas.

-Pendiente y concavidad de curvas param�tricas.

-Longitudes, �reas, vol�menes y curvas param�tricas

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