{"id":590,"date":"2021-03-02T02:30:29","date_gmt":"2021-03-02T02:30:29","guid":{"rendered":"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/?page_id=590"},"modified":"2022-03-11T15:21:14","modified_gmt":"2022-03-11T15:21:14","slug":"area-bajo-la-curva","status":"publish","type":"page","link":"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/area-bajo-la-curva\/","title":{"rendered":"\u00c1rea bajo la curva"},"content":{"rendered":"\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2022\/03\/area-bajo-la-curva-02-1024x854.png\" alt=\"\" class=\"wp-image-853\" width=\"99\" height=\"82\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2022\/03\/area-bajo-la-curva-02-1024x854.png 1024w, https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2022\/03\/area-bajo-la-curva-02-300x250.png 300w, https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2022\/03\/area-bajo-la-curva-02-768x640.png 768w, https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2022\/03\/area-bajo-la-curva-02.png 1335w\" sizes=\"(max-width: 99px) 100vw, 99px\" \/><\/figure>\n\n\n\n<p>Plantando\nel problema hipot\u00e9tico de calcular el \u00e1rea bajo una curva definida por una\nfunci\u00f3n y = f(x), pensemos primero en una figura regular, como un rect\u00e1ngulo.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"770\" height=\"467\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2021\/03\/AreaBajo_01.png\" alt=\"\" class=\"wp-image-591\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2021\/03\/AreaBajo_01.png 770w, https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2021\/03\/AreaBajo_01-300x182.png 300w, https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2021\/03\/AreaBajo_01-768x466.png 768w\" sizes=\"(max-width: 770px) 100vw, 770px\" \/><\/figure>\n\n\n\n<p>Al ser un rect\u00e1ngulo, Su \u00e1rea\nse obtiene mediante la f\u00f3rmula \u00c1rea = Base * Altura, en este caso, Base = x<sub>1<\/sub>\n\u2013 x<sub>0<\/sub>, en el eje de las x\u2019s; mientras que la altura est\u00e1 dada por el\nvalor de y = f(x) en el eje de las y\u2019s.<\/p>\n\n\n\n<p>Ahora consideremos otro tipo\nde funciones como las que se muestran en las siguientes figuras.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"823\" height=\"746\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2021\/03\/AreaBajo_02.png\" alt=\"\" class=\"wp-image-592\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2021\/03\/AreaBajo_02.png 823w, https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2021\/03\/AreaBajo_02-300x272.png 300w, https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2021\/03\/AreaBajo_02-768x696.png 768w\" sizes=\"(max-width: 823px) 100vw, 823px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"697\" height=\"248\" src=\"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2021\/03\/AreaBajo_04.png\" alt=\"\" class=\"wp-image-596\" srcset=\"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2021\/03\/AreaBajo_04.png 697w, https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2021\/03\/AreaBajo_04-300x107.png 300w\" sizes=\"(max-width: 697px) 100vw, 697px\" \/><\/figure>\n\n\n\n<p class=\"has-text-align-right\"><a href=\"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2021\/03\/Sumatorias-1.pdf\"> Repaso de sumatorias <\/a><\/p>\n\n\n\n<p style=\"text-align: right\"><a href=\"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2021\/03\/Ejemplo_Areas.pdf\">Ejemplo, paso a paso del c\u00e1lculo de \u00e1rea bajo la curva<\/a><\/p>\n<p style=\"text-align: right\"><a href=\"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-content\/uploads\/sites\/49\/2022\/02\/Areas_bajo_curva-1.pdf\">Encontrar el valor de la integral de <strong>f <\/strong><strong>(<\/strong><strong>x<\/strong><strong>) <\/strong><strong>= <\/strong><strong>4 <\/strong><strong>\u2212 <\/strong><strong>2x\u00a0 en <\/strong><strong>[<\/strong><strong>a, b<\/strong><strong>] =<\/strong> <strong>[<\/strong><strong>0, 2<\/strong><strong>]<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Plantando el problema hipot\u00e9tico de calcular el \u00e1rea bajo una curva definida por una funci\u00f3n y = f(x), pensemos primero en una figura regular, como un rect\u00e1ngulo. Al ser un rect\u00e1ngulo, Su \u00e1rea se obtiene mediante la f\u00f3rmula \u00c1rea = &hellip; <a href=\"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/area-bajo-la-curva\/\">Sigue leyendo <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":53,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0},"_links":{"self":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-json\/wp\/v2\/pages\/590"}],"collection":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-json\/wp\/v2\/users\/53"}],"replies":[{"embeddable":true,"href":"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-json\/wp\/v2\/comments?post=590"}],"version-history":[{"count":10,"href":"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-json\/wp\/v2\/pages\/590\/revisions"}],"predecessor-version":[{"id":854,"href":"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-json\/wp\/v2\/pages\/590\/revisions\/854"}],"wp:attachment":[{"href":"https:\/\/blogceta.zaragoza.unam.mx\/cintegral\/wp-json\/wp\/v2\/media?parent=590"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}