{"id":4414,"date":"2022-06-13T07:14:22","date_gmt":"2022-06-13T07:14:22","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4414"},"modified":"2022-06-13T07:14:22","modified_gmt":"2022-06-13T07:14:22","slug":"integrals-formulas","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/13\/integrals-formulas\/","title":{"rendered":"Integrals Formulas"},"content":{"rendered":"\n<p>We can remember the formulas of derivatives of some important functions. Here are the corresponding integrals of these functions that are remembered as standard formulas of integrals.<\/p>\n\n\n\n<ul><li>\u222b x<sup>n<\/sup>&nbsp;dx=x<sup>n+1&nbsp;<\/sup>\/n+1+C, where n \u2260 -1<\/li><li>\u222b dx =x+C<\/li><li>\u222b&nbsp;cosxdx = sinx+C<\/li><li>\u222b&nbsp;sinx dx = -cosx+C<\/li><li>\u222b sec<sup>2<\/sup>x dx = tanx+C<\/li><li>\u222b&nbsp;cosec<sup>2<\/sup>x dx = -cotx+C<\/li><li>\u222b sec<sup>2<\/sup>x dx = tanx+C<\/li><li>\u222b secx tanxdx = secx+C<\/li><li>\u222b cscx cotx dx = -cscx+C<\/li><li>\u222b1\/(\u221a(1-x<sup>2<\/sup>))= sin<sup>-1&nbsp;<\/sup>x + C<\/li><li>\u222b-1\/(\u221a(1-x<sup>2<\/sup>))= cos<sup>-1&nbsp;<\/sup>x + C<\/li><li>\u222b1\/(1+x<sup>2<\/sup>)= tan<sup>-1&nbsp;<\/sup>x + C<\/li><li>\u222b-1\/(1+x<sup>2<\/sup>)= cot<sup>-1&nbsp;<\/sup>x + C<\/li><li>\u222b1\/(x\u221a(x<sup>2&nbsp;<\/sup>-1))= sec<sup>-1&nbsp;<\/sup>x + C<\/li><li>\u222b-1\/(x\u221a(x<sup>2&nbsp;<\/sup>-1))= cosec<sup>-1&nbsp;<\/sup>x + C<\/li><li>\u222b e<sup>x<\/sup>dx=e<sup>x&nbsp;<\/sup>+ C<\/li><li>\u222bdx\/x=ln|x| + C<\/li><li>\u222b a<sup>x<\/sup>&nbsp;dx=a<sup>x<\/sup>\/ln a + C<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>We can remember the formulas of derivatives of some important functions. Here are the corresponding integrals of these functions that are remembered as standard formulas of integrals. \u222b xn&nbsp;dx=xn+1&nbsp;\/n+1+C, where n \u2260 -1 \u222b dx =x+C \u222b&nbsp;cosxdx = sinx+C \u222b&nbsp;sinx dx = -cosx+C \u222b sec2x dx = tanx+C \u222b&nbsp;cosec2x dx = -cotx+C \u222b sec2x dx [&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\/4414"}],"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=4414"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4414\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4414"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4414"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4414"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}