{"id":60445,"date":"2022-01-29T23:14:05","date_gmt":"2022-01-29T17:44:05","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=60445"},"modified":"2023-02-04T16:18:12","modified_gmt":"2023-02-04T10:48:12","slug":"study-materials-ncert-exemplar-solutions-class-12-maths-chapter-8-application-of-integrals","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/","title":{"rendered":"NCERT Exemplar Solutions for Class 12 Maths Chapter 8 &#8211; Application Of Integrals"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 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\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" 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: #999;color:#999\" 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\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/#81_Introduction\" title=\"8.1 Introduction\">8.1 Introduction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/#82_Area_under_simple_curves\" title=\"8.2 Area under simple curves\">8.2 Area under simple curves<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/#821_The_surface_area_of_a_region_is_defined_by_a_curve_and_a_line\" title=\"8.2.1 The surface area of a region is defined by a curve and a line.\">8.2.1 The surface area of a region is defined by a curve and a line.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/#83_Area_between_Two_Curves\" title=\"8.3 Area between Two Curves\">8.3 Area between Two Curves<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/#NCERT_Exemplar_For_Class_12_Maths_Chapter_8_Exercises\" title=\"NCERT Exemplar For Class 12 Maths Chapter 8 Exercises:\">NCERT Exemplar For Class 12 Maths Chapter 8 Exercises:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/#NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_8_Application_of_Integrals\" title=\"NCERT Exemplar Solutions for Class 12 Maths Chapter 8 Application of Integrals\">NCERT Exemplar Solutions for Class 12 Maths Chapter 8 Application of Integrals<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/#Key_Features_of_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_8_Application_of_Integrals\" title=\"Key Features of NCERT Exemplar Solutions for Class 12 Maths Chapter 8 Application of Integrals\">Key Features of NCERT Exemplar Solutions for Class 12 Maths Chapter 8 Application of Integrals<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/#Frequently_Asked_Questions\" title=\"Frequently Asked Questions\">Frequently Asked Questions<\/a><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/#How_can_we_score_full_marks_in_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_8\" title=\"How can we score full marks in NCERT Exemplar Solutions for Class 12 Maths Chapter 8?\">How can we score full marks in NCERT Exemplar Solutions for Class 12 Maths Chapter 8?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/#Is_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_8_PDF_enough_to_score_well_in_the_term_-_II_exams\" title=\"Is NCERT Exemplar Solutions for Class 12 Maths Chapter 8 PDF enough to score well in the term \u2013 II exams?\">Is NCERT Exemplar Solutions for Class 12 Maths Chapter 8 PDF enough to score well in the term \u2013 II exams?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/#Why_should_I_study_Chapter_8_of_NCERT_Exemplar_Solutions_for_Class_12_Maths\" title=\"Why should I study Chapter 8 of NCERT Exemplar Solutions for Class 12 Maths?\">Why should I study Chapter 8 of NCERT Exemplar Solutions for Class 12 Maths?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/#Why_Opt_for_Infinity_Learn\" title=\"Why Opt for Infinity Learn?\">Why Opt for Infinity Learn?<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/#Infinity_Learn_App\" title=\"Infinity Learn App\">Infinity Learn App<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Subject specialists have created NCERT Exemplar Solutions for Class 12 Maths Chapter 8 Application of Integrals, which includes thorough solutions for reference. All of the questions from the textbook&#8217;s exercises are answered here. Students can use these answers to help them prepare for their exams. The NCERT Exemplar Solutions for Class 12 provide useful solutions for improving conceptual knowledge and preparing for exams like <a href=\"https:\/\/infinitylearn.com\/jee\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\">JEE<\/span><\/a>.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Exemplar Solutions for Class 12. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 12pupils perform well in upcoming competitive exams.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\">\n\t\t<div class=\"download-pdf-container\">\n\t\t\t<span class=\"title\">Do you need help with your Homework? 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wpcf7-validates-as-required wpcf7-validates-as-number\" aria-required=\"true\" aria-invalid=\"false\" \/><\/span><\/p>\n<p><span style=\"display:none;\"><span class=\"wpcf7-form-control-wrap current-page-url\"><input type=\"text\" name=\"current-page-url\" value=\"https:\/\/_:443\/surge\/wp-json\/wp\/v2\/posts\/60445\" size=\"40\" class=\"wpcf7-form-control wpcf7dtx-dynamictext wpcf7-dynamictext\" aria-invalid=\"false\" \/><\/span><\/span><\/p>\n<style>.wpcf7-list-item{margin: 0 0.5em 0 0!important;}<\/style>\n<p class=\"title\" style=\"color: #6e6e6e;font-size:14px;font-weight:400;text-decoration: un;\"><span class=\"wpcf7-form-control-wrap acceptance-agreement\"><span class=\"wpcf7-form-control wpcf7-acceptance\"><span class=\"wpcf7-list-item\"><input type=\"checkbox\" name=\"acceptance-agreement\" value=\"1\" aria-invalid=\"false\" checked=\"checked\" \/><\/span><\/span><\/span> I agree to the <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/terms\" style=\"text-decoration: underline;\">terms and conditions<\/a> and <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/privacy\" style=\"text-decoration: underline;\">privacy policy<\/a>.<\/p>\n<p><input type=\"button\" style=\"cursor:pointer;width:auto;\" class=\"il_otp_submit\" value=\"Get OTP\" onclick=\"sendCF7OTP(this, otp_phone.value, user_name.value)\"><\/p>\n<div class=\"form-submit-btn-div\" style=\"display:none;\">\n<input type=\"submit\" value=\"Download PDF\" class=\"wpcf7-form-control has-spinner wpcf7-submit download-pdf-submit\" \/>\n<\/div>\n<\/div>\n<div class=\"wpcf7-response-output\" aria-hidden=\"true\"><\/div><\/form><\/div>\n\t\t\t\t\t<span class=\"pdf-link hidden\" data-pdf=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/securepdfs\/2022\/01\/Class12_Maths_Chapter8DE-24.pdf\"><\/span>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t<div class=\"bg-overlay\"><\/div>\n\t\t<\/div>\n\t\t<a href=\"\/surge\/?pdfemb-serveurl=https%3A%2F%2Finfinitylearn.com%2Fsurge%2Fwp-content%2Fuploads%2Fsecurepdfs%2F2022%2F01%2FClass12_Maths_Chapter8DE-24.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-mobile-width=\"0\"  data-scrollbar=\"both\" data-download=\"off\" data-tracking=\"on\" data-newwindow=\"on\" data-pagetextbox=\"off\" data-scrolltotop=\"on\" data-startzoom=\"100\" data-startfpzoom=\"100\" data-download-nonce=\"cd0ba86204\" data-disablerightclick=\"on\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">Class12_Maths_Chapter8(DE-24)<br\/><\/a><\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The concepts covered in Class 12 Maths covered in Chapter 8 Application Of Integrals are as follows:<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"81_Introduction\"><\/span><span style=\"font-size: 14pt; color: #0000ff;\"><b>8.1 Introduction<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">This part provides a review of the concepts of determining areas circumscribed by a curve, defining a definite integral as the limit of a sum, and introducing the use of integrals in applications such as the area under simple curves, between lines, parabolas, and ellipses.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Integration can be used to calculate a function&#8217;s average value.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The amount of rain that fell on a given day followed a R curve with specific boundaries. We get the average amount of rainfall for that day by integrating the provided function from limit x to limit y.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"82_Area_under_simple_curves\"><\/span><span style=\"font-size: 14pt; color: #0000ff;\"><b>8.2 Area under simple curves<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Using the formula, this section defines the region bounded by the curve y = f(x). For your convenience, a few samples are provided.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Assume you and your sibling are sharing a circular blanket. If the two of you are willing to compromise, the extent to which you will not be covered will be determined by the blanket&#8217;s size. We describe it mathematically as the area under the blanket that is available to the two of you.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">These types of issues are classified as analyses of the area under curves.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"821_The_surface_area_of_a_region_is_defined_by_a_curve_and_a_line\"><\/span><strong><span style=\"font-size: 12pt; color: #0000ff;\">8.2.1 The surface area of a region is defined by a curve and a line.<\/span><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The area of a space can be calculated using a line and a circle, a line and a parabola, or a line and an ellipse. A few images help to explain the calculation procedure.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"83_Area_between_Two_Curves\"><\/span><span style=\"font-size: 12pt; color: #0000ff;\"><b>8.3 Area between Two Curves<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">This section contains solved questions that demonstrate how to find the area between two curves. According to the article, the area may be calculated by dividing the region into a number of little parts and then summing the area of those tiny pieces. If the little fragments are vertical in shape, it is easy to locate the location.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">NCERT Exemplar Solutions for Class 12 Maths can be used as a quick reference to help students understand complicated concepts.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Students will work with numerous Integrals applications in this chapter of NCERT Exemplar Solutions for Class 12 Maths. The following are some of the most important concepts:<\/span><\/p>\n<ol>\n<li><span style=\"font-size: 12pt;\"><b> <\/b><span style=\"font-weight: 400;\">The area of the region bounded by the curve y = f (x), x-axis and the lines x = a and x = b (b &gt; a) is given by the formula: <\/span><\/span><\/li>\n<\/ol>\n<p><strong><span style=\"font-size: 12pt;\">Area aby dx = ab f(x)dx<\/span><\/strong><\/p>\n<ol start=\"2\">\n<li><span style=\"font-size: 12pt;\"><b> <\/b><span style=\"font-weight: 400;\">The area of the region enclosed between two curves y = f (x), y = g (x) and the lines x = a, x = b is given by the formula,<\/span><\/span><\/li>\n<\/ol>\n<p><strong><span style=\"font-size: 12pt;\">Area = ab; where f(x) \u2265 g(x) in [a, b]<\/span><\/strong><\/p>\n<ol start=\"3\">\n<li><span style=\"font-size: 12pt;\"><b><\/b><span style=\"font-weight: 400;\"> If f (x) \u2265 g (x) in [a, c] and f (x) \u2264 g (x) in [c, b], a &lt; c &lt; b, then<\/span><\/span><\/li>\n<\/ol>\n<p><strong><span style=\"font-size: 12pt;\">Area = ac + cb<\/span><\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"NCERT_Exemplar_For_Class_12_Maths_Chapter_8_Exercises\"><\/span><span style=\"font-size: 12pt; color: #0000ff;\"><b>NCERT Exemplar For Class 12 Maths Chapter 8 Exercises:<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The number of questions given under below exercises:<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 8.1 Solutions: 13 Questions (8 Long, 3 Short, 2 MCQs)<\/span><\/li>\n<li><span style=\"font-weight: 400; font-size: 12pt;\">Exercise 8.2 Solutions: 7 Questions(5 Long, 2 MCQs)<\/span><\/li>\n<li><span style=\"font-weight: 400; font-size: 12pt;\">Miscellaneous Exercise Solutions: 19 Questions (8 Long, 7 Short, 4 MCQs)<\/span><\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_8_Application_of_Integrals\"><\/span><span style=\"font-size: 12pt; color: #0000ff;\"><b>NCERT Exemplar Solutions for Class 12 Maths Chapter 8 Application of Integrals<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">The topics covered in <\/span>NCERT Exemplar Solutions<span style=\"font-weight: 400;\"> &#8211; Application of Integrals are as follows:<\/span><\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td><span style=\"font-size: 12pt;\"><b>Exercise<\/b><\/span><\/td>\n<td><span style=\"font-size: 12pt;\"><b>Topic<\/b><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">8.1<\/span><\/td>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">Introduction<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">8.2<\/span><\/td>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">Area under Simple Curves<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">8.3<\/span><\/td>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">Area between Two Curves.<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">Others<\/span><\/td>\n<td><span style=\"font-weight: 400; font-size: 12pt;\">Miscellaneous Q&amp;A<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"Key_Features_of_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_8_Application_of_Integrals\"><\/span><span style=\"font-size: 12pt; color: #0000ff;\"><b>Key Features of NCERT Exemplar Solutions for Class 12 Maths Chapter 8 Application of Integrals<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Subject specialists assisted in the preparation of these NCERT Exemplar Solutions.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Assist students in reinforcing their fundamental understanding of integral applications.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Content that is well-structured.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Diagrams are used to answer all of the questions.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Assist kids with their homework and competitive tests.<\/span><\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions\"><\/span><span style=\"font-size: 14pt; color: #0000ff;\"><b>Frequently Asked Questions<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"How_can_we_score_full_marks_in_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_8\"><\/span>How can we score full marks in NCERT Exemplar Solutions for Class 12 Maths Chapter 8?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tExperts at Infinity Learn created the NCERT Exemplar Solutions for Class 12 Maths Chapter 8 after completing extensive study on each concept. Every minor aspect is thoroughly discussed in order to assist students perform well on the class test as well as the second-term exams. It also assists pupils in completing their assignments on time and without difficulties.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"Is_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_8_PDF_enough_to_score_well_in_the_term_-_II_exams\"><\/span>Is NCERT Exemplar Solutions for Class 12 Maths Chapter 8 PDF enough to score well in the term \u2013 II exams?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tNCERT Exemplar Solutions for Class 12 Maths Chapter 8 are accessible in PDF format, and students can download and use them at their leisure. The solutions are developed by Infinity Learn's highly experienced faculty using the most recent CBSE Syllabus and norms. The exercise-by-exercise solutions assist students in gaining a general understanding of the subjects that are crucial for second-term exams. Students' time management and problem-solving abilities will improve if they practise these questions on a regular basis.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"Why_should_I_study_Chapter_8_of_NCERT_Exemplar_Solutions_for_Class_12_Maths\"><\/span>Why should I study Chapter 8 of NCERT Exemplar Solutions for Class 12 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe NCERT Exemplar Solutions for Class 12 Maths Chapter 8 are curated by a team of Infinity Learn experts with extensive knowledge in the subject. Students are encouraged to use the solutions PDF while working on the textbook problems to reinforce their understanding of integral applications. The questions are answered with a graphical depiction to help pupils understand the ideas. Apart from the second-term test preparation, students will be well-prepared to take a variety of competitive exams.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"Why_Opt_for_Infinity_Learn\"><\/span>Why Opt for Infinity Learn?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tIn this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How can we score full marks in NCERT Exemplar Solutions for Class 12 Maths Chapter 8?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Experts at Infinity Learn created the NCERT Exemplar Solutions for Class 12 Maths Chapter 8 after completing extensive study on each concept. Every minor aspect is thoroughly discussed in order to assist students perform well on the class test as well as the second-term exams. It also assists pupils in completing their assignments on time and without difficulties.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Is NCERT Exemplar Solutions for Class 12 Maths Chapter 8 PDF enough to score well in the term \u2013 II exams?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"NCERT Exemplar Solutions for Class 12 Maths Chapter 8 are accessible in PDF format, and students can download and use them at their leisure. The solutions are developed by Infinity Learn's highly experienced faculty using the most recent CBSE Syllabus and norms. The exercise-by-exercise solutions assist students in gaining a general understanding of the subjects that are crucial for second-term exams. Students' time management and problem-solving abilities will improve if they practise these questions on a regular basis.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Why should I study Chapter 8 of NCERT Exemplar Solutions for Class 12 Maths?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The NCERT Exemplar Solutions for Class 12 Maths Chapter 8 are curated by a team of Infinity Learn experts with extensive knowledge in the subject. Students are encouraged to use the solutions PDF while working on the textbook problems to reinforce their understanding of integral applications. The questions are answered with a graphical depiction to help pupils understand the ideas. Apart from the second-term test preparation, students will be well-prepared to take a variety of competitive exams.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Why Opt for Infinity Learn?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"In this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n<h3><span class=\"ez-toc-section\" id=\"Infinity_Learn_App\"><\/span><span style=\"color: #0000ff;\">Infinity Learn App<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Now you can find answers to all your subject queries &amp; prepare for your Exams on our <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.infinitylearn.learn\" target=\"_blank\" rel=\"noopener\">Learning App<\/a><\/span> &#8211; Infinity Learn.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have created NCERT Exemplar Solutions for Class 12 Maths Chapter 8 Application of Integrals, which includes thorough solutions [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"NCERT Exemplar Solutions for Class 12 Maths Chapter 8","_yoast_wpseo_title":"NCERT Solutions for Class 12 Maths Chapter 8 - Application Of Integrals","_yoast_wpseo_metadesc":"Subject specialists have created NCERT Exemplar Solutions for Class 12 Maths Chapter 8 Application of Integrals, which includes solutions.","custom_permalink":"study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/"},"categories":[106,109,105],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 12 Maths Chapter 8 - Application Of Integrals<\/title>\n<meta name=\"description\" content=\"Subject specialists have created NCERT Exemplar Solutions for Class 12 Maths Chapter 8 Application of Integrals, which includes solutions.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 12 Maths Chapter 8 - 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