{"id":121760,"date":"2022-05-18T17:14:26","date_gmt":"2022-05-18T11:44:26","guid":{"rendered":"https:\/\/www.mapsofindia.com\/my-india\/?p=121760"},"modified":"2022-05-19T10:47:50","modified_gmt":"2022-05-19T05:17:50","slug":"using-integration-find-the-area-of-the-region-in-the-first-quadrant-enclosed-by-the-line-x-y-2-the-parabola-y-2-x-and-the-x-axis","status":"publish","type":"post","link":"https:\/\/www.mapsofindia.com\/my-india\/education\/using-integration-find-the-area-of-the-region-in-the-first-quadrant-enclosed-by-the-line-x-y-2-the-parabola-y-2-x-and-the-x-axis","title":{"rendered":"Using integration, find the area of the region in the first quadrant enclosed by the line x + y = 2, the parabola y 2 = x and the x-axis."},"content":{"rendered":"<h2>Using integration, find the area of the region in the first quadrant enclosed by the line x + y = 2, the parabola y 2 = x and the x-axis.<\/h2>\n<h3>Answer.<\/h3>\n<h3>Using integration, find the area of the region in the first quadrant enclosed by the line x + y = 2, the parabola y 2 = x and the x-axis.<br \/>\nSolution: Solving x + y = 2 and y 2 = x simultaneously, we get the points of intersection as (1, 1) and (4, -2).<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-121714 size-full\" src=\"https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/24-6.png\" alt=\"\" width=\"476\" height=\"568\" srcset=\"https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/24-6.png 476w, https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/24-6-126x150.png 126w, https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/24-6-210x250.png 210w, https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/24-6-411x490.png 411w, https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/24-6-150x179.png 150w, https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/24-6-300x358.png 300w, https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2022\/05\/24-6-352x420.png 352w\" sizes=\"auto, (max-width: 476px) 100vw, 476px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Using integration, find the area of the region in the first quadrant enclosed by the line x + y = 2, the parabola y 2 = x and the x-axis. Answer. Using integration, find the area of the region in the first quadrant enclosed by the line x + y = 2, the parabola y [&hellip;]<\/p>\n","protected":false},"author":21830,"featured_media":121721,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":{"0":"post-121760","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-education"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/121760","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/users\/21830"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/comments?post=121760"}],"version-history":[{"count":1,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/121760\/revisions"}],"predecessor-version":[{"id":121761,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/121760\/revisions\/121761"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media\/121721"}],"wp:attachment":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media?parent=121760"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/categories?post=121760"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/tags?post=121760"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}