{"id":4409,"date":"2022-06-13T07:10:50","date_gmt":"2022-06-13T07:10:50","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4409"},"modified":"2022-06-13T07:10:50","modified_gmt":"2022-06-13T07:10:50","slug":"types-of-integrals-2","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/13\/types-of-integrals-2\/","title":{"rendered":"Types of Integrals"},"content":{"rendered":"\n<p>Integral calculus is used for solving the problems of the following types.<\/p>\n\n\n\n<p>a) the problem of finding a function if its derivative is given.<\/p>\n\n\n\n<p>b) the problem of finding the area bounded by the graph of a function under given conditions. Thus the Integral calculus is divided into two types.<\/p>\n\n\n\n<ul><li>Definite Integrals (the value of the integrals are definite)<\/li><li>Indefinite Integrals\u00a0(the value of the integral is indefinite with an arbitrary constant, C)<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Indefinite Integrals<\/h2>\n\n\n\n<p>These are the integrals that do not have a pre-existing value of limits; thus making the final value of integral indefinite. \u222bg'(x)dx = g(x) + c. Indefinite integrals belong to the family of parallel curves.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Definite Integrals<\/h2>\n\n\n\n<p>The definite integrals have a pre-existing value of limits, thus making the final value of an integral, definite. if f(x) is a function of the curve, then\u00a0<\/p>\n\n\n\n<p><sup>b<\/sup>\u222b <sub>a<\/sub>f(x) dx= f(b)\u2212f(a) <\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/mdr.foobrdigital.com\/wp-content\/uploads\/2022\/06\/definite-integral-1627571088.png\" alt=\"\" class=\"wp-image-4410\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Integral calculus is used for solving the problems of the following types. a) the problem of finding a function if its derivative is given. b) the problem of finding the area bounded by the graph of a function under given conditions. Thus the Integral calculus is divided into two types. Definite Integrals (the value of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[865],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4409"}],"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=4409"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4409\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4409"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4409"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4409"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}