{"id":69137,"date":"2021-08-26T05:54:00","date_gmt":"2021-08-26T00:24:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=69137"},"modified":"2021-08-31T17:05:19","modified_gmt":"2021-08-31T11:35:19","slug":"rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-27","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-27\/","title":{"rendered":"RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27 (2021)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-120032\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-12-Chapter-19-Exercise-19.27.png\" alt=\"RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-12-Chapter-19-Exercise-19.27.png 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-12-Chapter-19-Exercise-19.27-768x432.png 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27<\/strong>: Solutions PDF is an important reference guide to help students score well in the Class 12 exam. By solving exercise problems on a daily basis, students improve their problem solving and logical thinking skills. This is important for getting better academic grades. The main goal is to help students self-analyze the areas that require the most practice from the exam point of view. With the help of <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-19-indefinite-integrals\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 12 Maths Chapter 19<\/a>, students can solve exercise problems in a short duration clearly.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d4aeda793c7\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69d4aeda793c7\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-27\/#download-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1927-pdf\" title=\"Download RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27 PDF:\">Download RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27 PDF:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-27\/#access-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1927\" title=\"Access RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27\">Access RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-27\/#rd-sharma-solutions-class-12-maths-chapter-19-exercise-1927-important-topics-from-the-chapter\" title=\"RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27: Important Topics From The Chapter\">RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27: Important Topics From The Chapter<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-27\/#faq-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1927\" title=\"FAQ: RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27\">FAQ: RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-27\/#can-i-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1927\" title=\"Can I RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27?\">Can I RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-27\/#how-many-types-of-integrals-are-there\" title=\"How many types of integrals are there?\">How many types of integrals are there?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-27\/#what-are-indefinite-integrals\" title=\"What are indefinite integrals? \">What are indefinite integrals? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-27\/#are-integrals-tough\" title=\"Are Integrals tough?\">Are Integrals tough?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-27\/#is-class-12-maths-tough\" title=\"Is Class 12 Maths tough? \">Is Class 12 Maths tough? <\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1927-pdf\"><\/span>Download RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27 PDF:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-Sharma-Solutions-Class-12-Maths-Chapter-19-Ex-19.27.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-Sharma-Solutions-Class-12-Maths-Chapter-19-Ex-19.27.pdf\">RD-Sharma-Solutions-Class-12-Maths-Chapter-19-Ex-19.27<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1927\"><\/span>Access RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Indefinite Integrals Ex 19.27 Q1<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2748\/32789827821_afa8aa729e_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.27-Q1\" width=\"404\" height=\"465\" \/><br \/><strong>Indefinite Integrals Ex 19.27 Q2<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/397\/32759849462_90fa077fef_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.27-Q2\" width=\"511\" height=\"394\" \/><br \/><strong>Indefinite Integrals Ex 19.27 Q3<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/259\/32759849352_b7579cfc75_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.27-Q3\" width=\"403\" height=\"535\" \/><br \/><strong>Indefinite Integrals Ex 19.27 Q4<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/471\/32789827631_56106284c6_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.27-Q4\" width=\"475\" height=\"367\" \/><br \/><strong>Indefinite Integrals Ex 19.27 Q5<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2338\/32759849162_18196a3b43_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.27-Q5\" width=\"403\" height=\"396\" \/><br \/><strong>Indefinite Integrals Ex 19.27 Q6<\/strong><br \/><img src=\"https:\/\/c2.staticflickr.com\/4\/3894\/32789827501_0a3c20b8b3_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.27-Q6\" width=\"472\" height=\"707\" \/><br \/><strong>Indefinite Integrals Ex 19.27 Q8<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/482\/32759848942_a6533f2914_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.27-Q8\" width=\"411\" height=\"364\" \/><br \/><strong>Indefinite Integrals Ex 19.27 Q9<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2797\/32789827251_c9cc773e39_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.27-Q9\" width=\"400\" height=\"493\" \/><br \/><strong>Indefinite Integrals Ex 19.27 Q10<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/688\/32789827211_f679b90bce_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.27-Q10\" width=\"408\" height=\"457\" \/><br \/><strong>Indefinite Integrals Ex 19.27 Q11<\/strong><br \/><img src=\"https:\/\/c2.staticflickr.com\/4\/3912\/32759848682_2a2a31dca4_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.27-Q11\" width=\"408\" height=\"165\" \/><br \/><strong>Indefinite Integrals Ex 19.27 Q12<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2488\/32759849652_db80f36aa8_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.27-Q12\" width=\"402\" height=\"345\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"rd-sharma-solutions-class-12-maths-chapter-19-exercise-1927-important-topics-from-the-chapter\"><\/span>RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27: Important Topics From The Chapter<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Some of the essential topics covered in\u00a0RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27 chapter are listed below.<\/p>\n<ul>\n<li>Definition of primitive or antiderivative<\/li>\n<li>Definition and meaning of indefinite integral<\/li>\n<li>Fundamental integration formulae<\/li>\n<li>Some standard results on integration along with the corollary<\/li>\n<li>Integration of trigonometric functions<\/li>\n<li>Integration of exponential functions<\/li>\n<li>Miscellaneous problems<\/li>\n<li>Geometrical interpretation of indefinite integral<\/li>\n<li>Comparison between differentiation and integration<\/li>\n<li>Methods of integration<\/li>\n<li>Integration by substitution<\/li>\n<li>Some standard results<\/li>\n<li>Evaluation of integrals by using trigonometric substitutions<\/li>\n<li>Some special integrals<\/li>\n<li>Integration by parts<\/li>\n<li>Some important integrals along with theorems<\/li>\n<li>Integration of rational algebraic functions by using partial fractions\n<ul>\n<li>When the denominator is expressible as a product of distinct linear factors<\/li>\n<li>When the denominator contains some repeating linear factors<\/li>\n<li>The denominator contains irreducible quadratic factors<\/li>\n<\/ul>\n<\/li>\n<li>Integration of some special irrational algebraic functions<\/li>\n<\/ul>\n<p>We have included all the information regarding\u00a0<a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27. If you ahve any query feel free to ask in the comment section.\u00a0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"faq-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1927\"><\/span>FAQ: RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1629980453951\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1927\"><\/span>Can I RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can download RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27. <\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629980477942\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-types-of-integrals-are-there\"><\/span>How many types of integrals are there?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Definite and Indefinite Integrals. <\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629980479053\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-indefinite-integrals\"><\/span>What are indefinite integrals? <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>An indefinite integral is\u00a0a function that takes the antiderivative of another function.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629980533187\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"are-integrals-tough\"><\/span>Are Integrals tough?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Some students find integrals harder than derivatives.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629980539910\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-class-12-maths-tough\"><\/span>Is Class 12 Maths tough? <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, but you can make it easy with dedication. <\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27: Solutions PDF is an important reference guide to help students score well in the Class 12 exam. By solving exercise problems on a daily basis, students improve their problem solving and logical thinking skills. This is important for getting better academic grades. The main goal &#8230; <a title=\"RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27 (2021)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-27\/\" aria-label=\"More on RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.27 (2021)\">Read more<\/a><\/p>\n","protected":false},"author":244,"featured_media":120032,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2917,73716,73411,2985,73410],"tags":[3429,73223,73664,76758],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/69137"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/244"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=69137"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/69137\/revisions"}],"predecessor-version":[{"id":121875,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/69137\/revisions\/121875"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/120032"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=69137"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=69137"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=69137"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}