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headers already sent by (output started at [ROOT]/includes/functions.php:3887) [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4789: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887) [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4790: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887) [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4791: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887) UBA - CienciaS • Ver Tema - no se me ocurre como integrar esto!!!!!!!!!!!
Asunto: no se me ocurre como integrar esto!!!!!!!!!!!
Publicado: 26 Jun 2008, 23:36
Vago
Registrado: 26 Jun 2008, 23:20 Mensajes: 10
me estube rompiendo la cabeza y no se como integrar (x^2+y^2)^0.5, se que es integrable pero no se como integrarla, espero que a alguien se le ocurra, ya veo que es una boudes y no me doy cuenta.
pd: lo de adentro del parentesis es una más (+) no hay error al copiarlo
Cloud
Asunto: Re: no se me ocurre como integrar esto!!!!!!!!!!!
Publicado: 26 Jun 2008, 23:46
Site Admin
Registrado: 09 May 2008, 16:53 Mensajes: 273 Ubicación: José León Suárez :)
mmmm no aclaraste si es la integral diferencial y o diferencial x una pista es sacar factor comun dentro de la raiz entonces te keda: y ahi tomar sustitucion a: y derivar
creo q se resolvian asi...no estoy muuuuuuy seguro... si alguien sabe q confirme
dez
Asunto: Re: no se me ocurre como integrar esto!!!!!!!!!!!
Publicado: 27 Jun 2008, 02:35
Vago
Registrado: 26 Jun 2008, 23:20 Mensajes: 10
para el caso es lo mismo si es diferencial x o diferencial y, el tema es que con esa sustitución no sirve, me serviria si dentro de la raiz tendria una resta por q me terminaria quedando cos^2 para integrar
exequiel131719
Asunto: Re: no se me ocurre como integrar esto!!!!!!!!!!!
Publicado: 27 Jun 2008, 03:07
Site Admin
Registrado: 17 May 2008, 23:04 Mensajes: 812
recordá:
Es fácil verificar(te lo dejo a cargo tuyo) que:
Hace , y la integral te va a quedar de la forma. Puede parecer horrible esta integral, pero recordá que las funciones hiperbólicas son sumas de exponenciales del tipo , y sus primitivas son muy fáciles de calcular. Si querés más detalles sobre la resolución, aclará cómo es bien la integral. Espero haber ayudado. Saludos.
_________________ I offer her that kernel of myself that I have saved, somehow; the central heart that deals not in words, traffics not with dreams and is untouched by time, by joy, by adversities
Cloud
Asunto: Re: no se me ocurre como integrar esto!!!!!!!!!!!
Publicado: 27 Jun 2008, 06:13
Site Admin
Registrado: 09 May 2008, 16:53 Mensajes: 273 Ubicación: José León Suárez :)
bueno era parecido no? le pifie por una h nomas xDDD
exequiel131719
Asunto: Re: no se me ocurre como integrar esto!!!!!!!!!!!
Publicado: 28 Jun 2008, 01:46
Site Admin
Registrado: 17 May 2008, 23:04 Mensajes: 812
Otra forma de resolverlo, puede ser usando un cambio de variable adecuado, en particular, si la región sobre la que integrás no es muy agradable. Si usás coordenadas polares(repito, depende de la región), te quedaría en ese caso . Esta integral es trivial si no te queda muy mal. Fijate que te conviene más; o usar la sustición de funciones hiperbólicas, o un cambio a variables polares. Saludos.
_________________ I offer her that kernel of myself that I have saved, somehow; the central heart that deals not in words, traffics not with dreams and is untouched by time, by joy, by adversities
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