{"id":761,"date":"2021-01-20T15:09:46","date_gmt":"2021-01-20T13:09:46","guid":{"rendered":"https:\/\/www.pealfa.duckdns.org\/wordpress\/?p=761"},"modified":"2021-01-22T20:42:07","modified_gmt":"2021-01-22T18:42:07","slug":"areas-de-recintos-con-integrales-definidas","status":"publish","type":"post","link":"https:\/\/www.pealfa.duckdns.org\/wordpress\/?p=761","title":{"rendered":"\u00c1reas de recintos con integrales definidas"},"content":{"rendered":"<p><script type=\"text\/javascript\">function SINO(cual) {\n   var elElemento=document.getElementById(cual);\n   if(elElemento.style.display == 'block') {\n      elElemento.style.display = 'none';\n   } else {\n      elElemento.style.display = 'block';\n   }\n}\n<\/script><\/p>\n<p>Hola. Concluimos hoy las entradas dedicadas al c\u00e1lculo de \u00e1reas estudiando recintos aparentemente m\u00e1s generales.<\/p>\n<p>Concretamente, vamos a estudiar \u00e1reas de recintos delimitados por tres gr\u00e1ficas, donde al menos una de ellas es la recta tangente a una de las curvas implicadas.<\/p>\n<p>Veamos los enunciados de dos problemas propuestos en Pruebas de Acceso a la Universidad:<\/p>\n<fieldset style=\"border: 1px solid #8A0808; padding: 10px;\">\n<ol>\n<li>Dibujemos el recinto delimitado por la par\u00e1bola \\(y=-\\dfrac{1}{4}x^2+x\\) y sus rectas tangentes para \\(x=0\\) y \\(x=6\\). \u00bfCu\u00e1l es su \u00e1rea?<\/li>\n<p><\/p>\n<li>Calculemos el \u00e1rea de la superficie acotada entre el eje de abscisas, la gr\u00e1fica de la funci\u00f3n \\(f\\left(x\\right)=2\\sqrt{x}~,,~(x\\geq0)\\) y su recta tangente para \\(x=4\\).<\/li>\n<\/ol>\n<\/fieldset>\n<p><\/p>\n<p>En estos dos v\u00eddeos se resuelven y te animo a hacerlo a la vez que los visualizas:<\/p>\n<table width=\"100%\">\n<tbody>\n<tr>\n<th width=\"50%\">\u00c1rea entre una par\u00e1bola y dos tangentes a ella<\/th>\n<th width=\"50%\">\u00c1rea entre eje X, curva y una tangente a ella<\/th>\n<\/tr>\n<tr>\n<th width=\"50%\"><iframe src=\"https:\/\/www.youtube.com\/embed\/0yaBeCtsRRI\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/th>\n<th width=\"50%\"><iframe src=\"https:\/\/www.youtube.com\/embed\/6RadYjV2Qf4\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/th>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>He buscado un equilibrio entre la duraci\u00f3n tiempo y la claridad en las explicaciones. Espero haberlo conseguido. Gracias y \u00e1nimo con esas integrales.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hola. Concluimos hoy las entradas dedicadas al c\u00e1lculo de \u00e1reas estudiando recintos aparentemente m\u00e1s generales. Concretamente, vamos a estudiar \u00e1reas de recintos [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"post-templates\/post_nosidebar.php","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[38,61,62,50],"class_list":["post-761","post","type-post","status-publish","format-standard","hentry","category-matematicas-ii","tag-analisis","tag-calculo-integral","tag-integral-definida","tag-video"],"_links":{"self":[{"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/761","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=761"}],"version-history":[{"count":4,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/761\/revisions"}],"predecessor-version":[{"id":769,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/761\/revisions\/769"}],"wp:attachment":[{"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=761"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=761"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.pealfa.duckdns.org\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=761"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}