{"id":19844,"date":"2022-06-13T06:40:05","date_gmt":"2022-06-13T06:40:05","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4378"},"modified":"2022-06-13T06:40:05","modified_gmt":"2022-06-13T06:40:05","slug":"application-of-integrals","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/13\/application-of-integrals\/","title":{"rendered":"Application of Integrals"},"content":{"rendered":"\n<p>From the many applications of integrals, some are listed below:<\/p>\n\n\n\n<p><strong>In Mathematics integrals are used to find:<\/strong><\/p>\n\n\n\n<ul><li>Center of mass(Centroid) of an area having curved sides<\/li><li>The average value of a curve<\/li><li>The area between two curves<\/li><li>The area under a curve<\/li><\/ul>\n\n\n\n<p><strong>In Physics integrals are used to find:<\/strong><\/p>\n\n\n\n<ul><li>Centre of gravity<\/li><li>Center of mass<\/li><li>Mass and moment of inertia of vehicles<\/li><li>Mass and momentum of satellites<\/li><li>The velocity and trajectory of a satellite<\/li><li>Thrust<\/li><\/ul>\n\n\n\n<p>There are two forms of integrals. Indefinite Integrals: It is an integral of a function when there is no limit for integration. It contains an arbitrary constant. Definite Integrals: An integral of a function with limits of integration.<\/p>\n\n\n\n<p>Application of integrals also includes finding the area enclosed in the eclipse, the area of the region bounded by the curve, or any enclosed area bounded in the x-axis and y-axis. The application of integrations varies depending upon the fields. Graphic designers use it for the creation of three-dimensional models. Physicists use it to determine the center of gravity, etc.<\/p>\n\n\n\n<p>Let us have a look at one of the common applications of integrals i.e., how to find area under the curve.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>From the many applications of integrals, some are listed below: In Mathematics integrals are used to find: Center of mass(Centroid) of an area having curved sides The average value of a curve The area between two curves The area under a curve In Physics integrals are used to find: Centre of gravity Center of mass [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[824],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/19844"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=19844"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/19844\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=19844"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=19844"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=19844"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}