{"id":13997,"date":"2023-05-02T10:00:05","date_gmt":"2023-05-02T04:30:05","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=13997"},"modified":"2023-05-03T09:44:31","modified_gmt":"2023-05-03T04:14:31","slug":"area-under-curve","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/area-under-curve\/","title":{"rendered":"Area Under a Curve"},"content":{"rendered":"

Area Under a Curve<\/h2>\n

Area of bounded regions<\/h3>\n
    \n
  1. The area bounded by a cartesian curve y = f(x), x-axis and ordinates x = a and x = b is given by
    \n\"Area<\/li>\n
  2. If the curve y = f(x) lies below x-axis, then the area bounded by the curve y = f(x)\u00a0the x-axis and the ordinates x = a and x = b is negative. So, area is given by \\(\\left| \\int _{ a }^{ b }{ ydx } \u00a0\\right|\\).<\/li>\n
  3. The area bounded by a cartesian curve x =f(y), y-axis and abscissae y = c and y = d is given by,
    \n\"Area<\/li>\n
  4. If the equation of a curve is in parametric form, let x = f(t), y = g(t) then
    \n\"Area,
    \nwhere t1<\/sub> and t2<\/sub> are the values of t respectively corresponding to the values of a and b of x.<\/li>\n<\/ol>\n

    Symmetrical area<\/h3>\n

    If the curve is symmetrical about a co-ordinate axis (or a line or origin), then we find the area of one symmetrical portion and multiply it by the number of symmetrical portions to get the required area.<\/p>\n

    Area between two curves<\/h3>\n
      \n
    1. When both curves intersect at two points and their common area lies between these points:
      \n<\/strong>If the curves \u00a0y1<\/sub> = f1<\/sub>(x) and y2<\/sub> = f2<\/sub>(x), where f1<\/sub>(x) > f2<\/sub>(x)\u00a0intersect in two points A<\/em>(x = a<\/em>) and B<\/em>(x = b<\/em>), then common area between the curves is
      \n\"Area
      \n\"Area<\/li>\n
    2. When two curves intersect at a point and the area between them is bounded by x-axis:<\/strong>
      \nArea bounded by the curves is
      \n\"Area
      \n\"Area where P(\u03b1, \u03b2)\u00a0is the point of intersection of the two curves.<\/li>\n
    3. Positive and negative area:<\/strong>
      \nArea is always taken as positive. If some part of the area lies above the x-axis and some part lies below x-axis, then the area of two parts should be calculated separately and then add their numerical values to get the desired area.<\/li>\n<\/ol>\n

      Volumes and surfaces of solids of revolution<\/h3>\n

      If a plane curve is revolved about some axis in the plane of the curve, then the body so generated is known as solid of revolution. The surface generated by the perimeter of the curve is known as surface of revolution and the volume generated by the area is called volume of revolution.
      \nFor example, a right angled triangle when revolved about one of its sides (forming the right angle) generates a right circular cones.<\/p>\n

      (1) Volumes of solids of revolution<\/strong><\/p>\n

        \n
      1. The volume of the solid generated by the revolution, about the x-axis, of the area bounded by the curve y = f(x), the ordinates at x = a, x = b and the x-axis is equal to \\(\\pi \\int _{ a }^{ b }{ { y }^{ 2 }dx }\\).
        \n\"Area<\/li>\n
      2. The revolution of the area lying between the curve x = f(y) the y-axis and the lines y = a and y = b is given by (interchanging x and y in the above formulae) \\(\\int _{ a }^{ b }{ { \\pi x }^{ 2 }dy }\\).<\/li>\n
      3. If the equation of the generating curve be given by x = f1<\/sub>(t) and y = f2<\/sub>(t) and it is revolved about x-<\/em>axis, then the formula corresponding to \\(\\int _{ a }^{ b }{ { \\pi y }^{ 2 }dx }\\) becomes \"Areawhere f1<\/sub> and f2<\/sub> are the values of t <\/em>corresponding to x = a <\/em>\u00a0and\u00a0 x = b.<\/em><\/li>\n<\/ol>\n

        (2) Area of surfaces of revolution<\/strong><\/p>\n

          \n
        1. The curved surface of the solid generated by the revolution, about the x- axis, of the area bounded by the curve y = f(x), the ordinates at x = a, x = b and the x-axis is equal to \\(2\\pi \\int _{ x=a }^{ x=b }{ { y }ds }\\).
          \n\"Area<\/li>\n
        2. If the arc of the curve y = f(x) revolves about y-axis, then the area of the surface of revolution (between proper limits)
          \n\"Area<\/li>\n
        3. If the equation of the curve is given in the parametric form x = f1<\/sub>(t) and y = f2<\/sub>(t), and the curve revolves about x-axis, then we get the area of the surface of revolution
          \n\"Area
          \nwhere t1<\/sub> and t2<\/sub> are the values of the parameter corresponding to x = a and x = b.<\/li>\n<\/ol>\n

          (3) Volume and surface of the frustum of a cone<\/strong>
          \nIf r1<\/sub>, r2<\/sub>\u00a0be the radii of the circular ends and k is the distance between centres of circular ends and l be the slant height, then<\/p>\n

            \n
          1. Volume of frustum of cone = \u03c0k\/3(r1<\/sub>2<\/sup> + r1<\/sub>r2<\/sub> + r2<\/sub>2<\/sup>)<\/li>\n
          2. Curved surface area of frustum of cone = \u03c0(r1<\/sub> + r2<\/sub>)l<\/li>\n
          3. Whole surface area of frustum of cone = \u03c0(r1<\/sub> + r2<\/sub>)l + \u03c0r1<\/sub>2<\/sup> + \u03c0r2<\/sub>2<\/sup>.<\/li>\n<\/ol>\n

            (4) Volume and surface of the frustum of a sphere<\/strong><\/p>\n

            Let the thickness of the frustum of sphere is k and radii of the circular ends of the frustum are r1<\/sub>\u00a0and r2<\/sub>, then<\/p>\n

              \n
            1. Volume of the frustum of sphere = \u03c0k\/6(3r1<\/sub>2<\/sup> + 3r2<\/sub>2<\/sup> + k2<\/sup>)<\/li>\n
            2. Curved surface area of frustum of sphere = 2\u03c0ak (where a<\/em> is radius of circle)<\/li>\n
            3. Whole surface area of frustum of sphere = (2\u03c0ak + \u03c0r1<\/sub>2<\/sup> + \u03c0r2<\/sub>2<\/sup>).<\/li>\n<\/ol>\n

              Area Under a Curve Problems with Solutions<\/h3>\n

              1.<\/strong>
              \n\"Area
              \nSolution:<\/strong>
              \n\"Area
              \n2.<\/strong>
              \n\"Area
              \nSolution:<\/strong>
              \n\"Area
              \n3.<\/strong>
              \n\"Area
              \nSolution:<\/strong>
              \n\"Area
              \n4.<\/strong>
              \n\"Area
              \nSolution:<\/strong>
              \n\"Area
              \n5.<\/strong>
              \n\"Area
              \nSolution:<\/strong>
              \n\"Area
              \n6.<\/strong>
              \n\"Area
              \nSolution:<\/strong>
              \n\"Area
              \n7.<\/strong>
              \n\"Area
              \nSolution:<\/strong>
              \n\"Area
              \n8.<\/strong>
              \n\"Area
              \nSolution:<\/strong>
              \n\"Area
              \n9.<\/strong>
              \n\"Area
              \nSolution:<\/strong>
              \n\"Area
              \n10.<\/strong>
              \n\"Area
              \nSolution:<\/strong>
              \n\"Area
              \n11.<\/strong>
              \n\"Area
              \nSolution:<\/strong>
              \n\"Area
              \n12.<\/strong>
              \n\"Area
              \nSolution:<\/strong>
              \n\"Area<\/p>\n","protected":false},"excerpt":{"rendered":"

              Area Under a Curve Area of bounded regions The area bounded by a cartesian curve y = f(x), x-axis and ordinates x = a and x = b is given by If the curve y = f(x) lies below x-axis, then the area bounded by the curve y = f(x)\u00a0the x-axis and the ordinates x […]<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[5],"tags":[5315,5313,5319,5312,5322,5316,5314,5320,5321,5317,5318],"yoast_head":"\nArea Under a Curve - A Plus Topper<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.aplustopper.com\/area-under-curve\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Area Under a Curve\" \/>\n<meta property=\"og:description\" content=\"Area Under a Curve Area of bounded regions The area bounded by a cartesian curve y = f(x), x-axis and ordinates x = a and x = b is given by If the curve y = f(x) lies below x-axis, then the area bounded by the curve y = f(x)\u00a0the x-axis and the ordinates x […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.aplustopper.com\/area-under-curve\/\" \/>\n<meta property=\"og:site_name\" content=\"A Plus Topper\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/aplustopper\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-05-02T04:30:05+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-05-03T04:14:31+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/05\/Area-Under-a-Curve-1.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasanna\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.aplustopper.com\/#organization\",\"name\":\"Aplus Topper\",\"url\":\"https:\/\/www.aplustopper.com\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/aplustopper\/\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.aplustopper.com\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"contentUrl\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"width\":1585,\"height\":375,\"caption\":\"Aplus Topper\"},\"image\":{\"@id\":\"https:\/\/www.aplustopper.com\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.aplustopper.com\/#website\",\"url\":\"https:\/\/www.aplustopper.com\/\",\"name\":\"A Plus Topper\",\"description\":\"Improve your Grades\",\"publisher\":{\"@id\":\"https:\/\/www.aplustopper.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.aplustopper.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.aplustopper.com\/area-under-curve\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/05\/Area-Under-a-Curve-1.jpg\",\"contentUrl\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/05\/Area-Under-a-Curve-1.jpg\",\"width\":246,\"height\":283,\"caption\":\"Area Under a Curve 1\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.aplustopper.com\/area-under-curve\/#webpage\",\"url\":\"https:\/\/www.aplustopper.com\/area-under-curve\/\",\"name\":\"Area Under a Curve - A Plus Topper\",\"isPartOf\":{\"@id\":\"https:\/\/www.aplustopper.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.aplustopper.com\/area-under-curve\/#primaryimage\"},\"datePublished\":\"2023-05-02T04:30:05+00:00\",\"dateModified\":\"2023-05-03T04:14:31+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.aplustopper.com\/area-under-curve\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.aplustopper.com\/area-under-curve\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.aplustopper.com\/area-under-curve\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.aplustopper.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Area Under a Curve\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/www.aplustopper.com\/area-under-curve\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.aplustopper.com\/area-under-curve\/#webpage\"},\"author\":{\"@id\":\"https:\/\/www.aplustopper.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794\"},\"headline\":\"Area Under a Curve\",\"datePublished\":\"2023-05-02T04:30:05+00:00\",\"dateModified\":\"2023-05-03T04:14:31+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.aplustopper.com\/area-under-curve\/#webpage\"},\"wordCount\":818,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.aplustopper.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.aplustopper.com\/area-under-curve\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/05\/Area-Under-a-Curve-1.jpg\",\"keywords\":[\"Area between two curves\",\"Area of bounded regions\",\"Area of surfaces of revolution\",\"Area Under a Curve\",\"Area Under a Curve Problems with Solutions\",\"Positive and negative area\",\"Symmetrical area\",\"Volume and surface of the frustum of a cone\",\"Volume and surface of the frustum of a sphere\",\"Volumes and surfaces of solids of revolution\",\"Volumes of solids of revolution\"],\"articleSection\":[\"Mathematics\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.aplustopper.com\/area-under-curve\/#respond\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.aplustopper.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794\",\"name\":\"Prasanna\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.aplustopper.com\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"caption\":\"Prasanna\"},\"url\":\"https:\/\/www.aplustopper.com\/author\/prasanna\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Area Under a Curve - A Plus Topper","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.aplustopper.com\/area-under-curve\/","og_locale":"en_US","og_type":"article","og_title":"Area Under a Curve","og_description":"Area Under a Curve Area of bounded regions The area bounded by a cartesian curve y = f(x), x-axis and ordinates x = a and x = b is given by If the curve y = f(x) lies below x-axis, then the area bounded by the curve y = f(x)\u00a0the x-axis and the ordinates x […]","og_url":"https:\/\/www.aplustopper.com\/area-under-curve\/","og_site_name":"A Plus Topper","article_publisher":"https:\/\/www.facebook.com\/aplustopper\/","article_published_time":"2023-05-02T04:30:05+00:00","article_modified_time":"2023-05-03T04:14:31+00:00","og_image":[{"url":"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/05\/Area-Under-a-Curve-1.jpg"}],"twitter_card":"summary","twitter_misc":{"Written by":"Prasanna","Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/www.aplustopper.com\/#organization","name":"Aplus Topper","url":"https:\/\/www.aplustopper.com\/","sameAs":["https:\/\/www.facebook.com\/aplustopper\/"],"logo":{"@type":"ImageObject","@id":"https:\/\/www.aplustopper.com\/#logo","inLanguage":"en-US","url":"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","contentUrl":"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","width":1585,"height":375,"caption":"Aplus Topper"},"image":{"@id":"https:\/\/www.aplustopper.com\/#logo"}},{"@type":"WebSite","@id":"https:\/\/www.aplustopper.com\/#website","url":"https:\/\/www.aplustopper.com\/","name":"A Plus Topper","description":"Improve your Grades","publisher":{"@id":"https:\/\/www.aplustopper.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.aplustopper.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/www.aplustopper.com\/area-under-curve\/#primaryimage","inLanguage":"en-US","url":"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/05\/Area-Under-a-Curve-1.jpg","contentUrl":"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/05\/Area-Under-a-Curve-1.jpg","width":246,"height":283,"caption":"Area Under a Curve 1"},{"@type":"WebPage","@id":"https:\/\/www.aplustopper.com\/area-under-curve\/#webpage","url":"https:\/\/www.aplustopper.com\/area-under-curve\/","name":"Area Under a Curve - A Plus Topper","isPartOf":{"@id":"https:\/\/www.aplustopper.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.aplustopper.com\/area-under-curve\/#primaryimage"},"datePublished":"2023-05-02T04:30:05+00:00","dateModified":"2023-05-03T04:14:31+00:00","breadcrumb":{"@id":"https:\/\/www.aplustopper.com\/area-under-curve\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.aplustopper.com\/area-under-curve\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.aplustopper.com\/area-under-curve\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.aplustopper.com\/"},{"@type":"ListItem","position":2,"name":"Area Under a Curve"}]},{"@type":"Article","@id":"https:\/\/www.aplustopper.com\/area-under-curve\/#article","isPartOf":{"@id":"https:\/\/www.aplustopper.com\/area-under-curve\/#webpage"},"author":{"@id":"https:\/\/www.aplustopper.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794"},"headline":"Area Under a Curve","datePublished":"2023-05-02T04:30:05+00:00","dateModified":"2023-05-03T04:14:31+00:00","mainEntityOfPage":{"@id":"https:\/\/www.aplustopper.com\/area-under-curve\/#webpage"},"wordCount":818,"commentCount":0,"publisher":{"@id":"https:\/\/www.aplustopper.com\/#organization"},"image":{"@id":"https:\/\/www.aplustopper.com\/area-under-curve\/#primaryimage"},"thumbnailUrl":"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2017\/05\/Area-Under-a-Curve-1.jpg","keywords":["Area between two curves","Area of bounded regions","Area of surfaces of revolution","Area Under a Curve","Area Under a Curve Problems with Solutions","Positive and negative area","Symmetrical area","Volume and surface of the frustum of a cone","Volume and surface of the frustum of a sphere","Volumes and surfaces of solids of revolution","Volumes of solids of revolution"],"articleSection":["Mathematics"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.aplustopper.com\/area-under-curve\/#respond"]}]},{"@type":"Person","@id":"https:\/\/www.aplustopper.com\/#\/schema\/person\/2533e4338ba14fc0e4001efcca2f8794","name":"Prasanna","image":{"@type":"ImageObject","@id":"https:\/\/www.aplustopper.com\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","caption":"Prasanna"},"url":"https:\/\/www.aplustopper.com\/author\/prasanna\/"}]}},"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/posts\/13997"}],"collection":[{"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/comments?post=13997"}],"version-history":[{"count":1,"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/posts\/13997\/revisions"}],"predecessor-version":[{"id":159223,"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/posts\/13997\/revisions\/159223"}],"wp:attachment":[{"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/media?parent=13997"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/categories?post=13997"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.aplustopper.com\/wp-json\/wp\/v2\/tags?post=13997"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}