{"id":69132,"date":"2021-08-26T14:49:00","date_gmt":"2021-08-26T09:19:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=69132"},"modified":"2021-08-31T17:01:18","modified_gmt":"2021-08-31T11:31:18","slug":"rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-22","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-22\/","title":{"rendered":"RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22 (2021)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-119752\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-12-Chapter-19-Exercise-19.22.png\" alt=\"RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-12-Chapter-19-Exercise-19.22.png 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/RD-Sharma-Solutions-Class-12-Chapter-19-Exercise-19.22-768x432.png 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22<\/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-69fec1834babb\" 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-69fec1834babb\"><\/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-19-22\/#download-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1922-pdf\" title=\"Download RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22 PDF:\">Download RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22 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-19-22\/#access-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1922\" title=\"Access RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22\">Access RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22<\/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-19-22\/#rd-sharma-solutions-class-12-maths-chapter-19-exercise-1922-important-topics-from-the-chapter\" title=\"RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22: Important Topics From The Chapter\">RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22: 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-19-22\/#faq-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1922\" title=\"FAQ: RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22\">FAQ: RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22<\/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-19-22\/#can-i-download-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1922-pdf-on-my-smartphone\" title=\"Can I download RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22 PDF on my smartphone? \">Can I download RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22 PDF on my smartphone? <\/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-19-22\/#what-is-the-indefinite-integral-of-0\" title=\"What is the indefinite integral of 0?\">What is the indefinite integral of 0?<\/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-19-22\/#is-rd-sharma-enough\" title=\"Is RD Sharma enough? \">Is RD Sharma enough? <\/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-19-22\/#do-questions-come-from-the-ncert-maths-book-in-the-board-exam\" title=\"Do questions come from the NCERT Maths book in the board exam?\">Do questions come from the NCERT Maths book in the board exam?<\/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-19-22\/#how-can-i-get-the-free-solutions-for-rd-sharma-class-12-maths\" title=\"How can I get the free solutions for RD Sharma Class 12 Maths? \">How can I get the free solutions for RD Sharma Class 12 Maths? <\/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-1922-pdf\"><\/span>Download RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22 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-19.22.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-19.22.pdf\">RD-Sharma-Solutions-Class-12-Maths-Chapter-19-Ex-19.22<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1922\"><\/span>Access RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Indefinite Integrals Ex 19.22 Q1<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2531\/32911132095_4f8a533c57_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.22-Q1\" width=\"402\" height=\"533\" \/><br \/><strong>Indefinite Integrals Ex 19.22 Q2<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/593\/32911132015_00584ab965_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.22-Q2\" width=\"402\" height=\"545\" \/><br \/><strong>Indefinite Integrals Ex 19.22 Q3<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2023\/32096353173_63c0c894eb_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.22-Q3\" width=\"408\" height=\"687\" \/><br \/><strong>Indefinite Integrals Ex 19.22 Q4<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2638\/32911131925_4ddb8b40d8_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.22-Q4\" width=\"404\" height=\"740\" \/><br \/><strong>Indefinite Integrals Ex 19.22 Q5<\/strong><br \/><img src=\"https:\/\/c2.staticflickr.com\/4\/3940\/32787308261_45d17e6ec0_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.22-Q5\" width=\"403\" height=\"519\" \/><br \/><strong>Indefinite Integrals Ex 19.22 Q6<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2008\/32911131645_3e4f57fc75_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.22-Q6\" width=\"405\" height=\"550\" \/><br \/><strong>Indefinite Integrals Ex 19.22 Q7<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/525\/32096353013_a2aa3a1bed_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.22-Q7\" width=\"419\" height=\"639\" \/><br \/><strong>Indefinite Integrals Ex 19.22 Q8<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2507\/32787307851_b6fd576b9e_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.22-Q8\" width=\"402\" height=\"312\" \/><br \/><strong>Indefinite Integrals Ex 19.22 Q9<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/3\/2839\/32911131345_d62d4616a1_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.22-Q9\" width=\"400\" height=\"347\" \/><br \/><strong>Indefinite Integrals Ex 19.22 Q10<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/714\/32787307611_06a29c7b25_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.22-Q10\" width=\"403\" height=\"449\" \/><br \/><strong>Indefinite Integrals Ex 19.22 Q11<\/strong><br \/><img src=\"https:\/\/c1.staticflickr.com\/1\/752\/32096353333_7f6df47897_o.png\" alt=\"RD-Sharma-Class-12-Solutions-Chapter-19-indefinite-integrals-Ex-19.22-Q11\" width=\"402\" height=\"499\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"rd-sharma-solutions-class-12-maths-chapter-19-exercise-1922-important-topics-from-the-chapter\"><\/span>RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22: 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 19.21\u00a0chapter 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 nofollow\">CBSE<\/a> RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22. If you ahve any query feel free to ask in the comment section.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"faq-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1922\"><\/span>FAQ: RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22<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-1629966818110\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-download-rd-sharma-solutions-class-12-maths-chapter-19-exercise-1922-pdf-on-my-smartphone\"><\/span>Can I download RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22 PDF on my smartphone? <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 19.22 PDF on any device. <\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629969276556\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-the-indefinite-integral-of-0\"><\/span>What is the indefinite integral of 0?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The integral of 0 is\u00a0<strong>C<\/strong> because the derivative of C is zero.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629969281105\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-rd-sharma-enough\"><\/span>Is RD Sharma enough? <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>RD Sharma has plenty of questions to practice. <\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629969282125\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"do-questions-come-from-the-ncert-maths-book-in-the-board-exam\"><\/span>Do questions come from the NCERT Maths book in the board exam?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, NCERT plays a major role in Class 12 board exams. <\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629969285590\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-can-i-get-the-free-solutions-for-rd-sharma-class-12-maths\"><\/span>How can I get the free solutions for RD Sharma Class 12 Maths? <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can refer to the above article. <\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22: 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 19.22 (2021)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-19-exercise-19-22\/\" aria-label=\"More on RD Sharma Solutions Class 12 Maths Chapter 19 Exercise 19.22 (2021)\">Read more<\/a><\/p>\n","protected":false},"author":244,"featured_media":119752,"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":[3429,73223,73664,76754],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/69132"}],"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=69132"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/69132\/revisions"}],"predecessor-version":[{"id":121867,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/69132\/revisions\/121867"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/119752"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=69132"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=69132"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=69132"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}