{"id":1085,"date":"2021-12-17T16:33:54","date_gmt":"2021-12-17T11:03:54","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=1085"},"modified":"2022-04-15T14:43:21","modified_gmt":"2022-04-15T09:13:21","slug":"ncert-solutions-for-class-12-maths-chapter-8-application-of-integrals","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals"},"content":{"rendered":"<p><span data-contrast=\"auto\">Subject specialists have created NCERT 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 Solutions for Class 12 provide useful solutions for improving conceptual knowledge.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559738&quot;:240,&quot;335559739&quot;:160,&quot;335559740&quot;:256}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Solutions for Class12. 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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559738&quot;:240,&quot;335559739&quot;:160,&quot;335559740&quot;:256}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">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\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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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\/2021\/12\/8.-Applications-of-integrals-1-1.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=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/8.-Applications-of-integrals-1-1.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-toolbar=\"top\" data-toolbar-fixed=\"on\">8. Applications of integrals (1)<br\/><\/a>\n<p aria-level=\"3\"><b><span data-contrast=\"none\">NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:160,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">The concepts covered in Class 12 Maths covered in Chapter 8 Application Of Integrals of NCERT Solutions are as follows:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"none\">8.1 Introduction<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Integration can be used to calculate a function&#8217;s average value.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">The amount of rain that fell on a given day followed an 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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"none\">8.2 Area under simple curves<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Using the formula, this section defines the region bounded by the curve y = f(x). For your convenience, a few samples are provided.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">These types of issues are classified as analyses of the area under curves.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"none\">8.2.1<\/span><\/b><span data-contrast=\"none\"> The surface area of a region is defined by a curve and a line.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"none\">8.3 Area between Two Curves<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">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><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">NCERT Solutions for Class 12 Maths Chapter 8 can be used as a quick reference to help students understand complicated concepts.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Students will work with numerous Integrals applications in this chapter of NCERT Solutions for Class 12 Maths. The following are some of the most important concepts:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<ol>\n<li><b> <\/b><span data-contrast=\"none\">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><\/li>\n<\/ol>\n<p><span data-contrast=\"none\">Area = <\/span><span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;msubsup&gt;&lt;mo stretchy=&quot;false&quot;&gt;&amp;#x222B;&lt;\/mo&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;b&lt;\/mi&gt;&lt;\/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;y&lt;\/mi&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;msubsup&gt;&lt;mo stretchy=&quot;false&quot;&gt;&amp;#x222B;&lt;\/mo&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;b&lt;\/mi&gt;&lt;\/msubsup&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;\/mi&gt;&lt;mo fence=&quot;false&quot;&gt;(&lt;\/mo&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;mo fence=&quot;false&quot;&gt;)&lt;\/mo&gt;&lt;mi&gt;d&lt;\/mi&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/mrow&gt;&lt;\/math&gt;\">\u222bbaydx =\u222bbaf(x)dx\u222babydx=\u222babf(x)dx<\/span><\/p>\n<ol start=\"2\">\n<li><b> <\/b><span data-contrast=\"none\">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><\/li>\n<\/ol>\n<p><span data-contrast=\"none\">Area = <\/span><span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;msubsup&gt;&lt;mo stretchy=&quot;false&quot;&gt;&amp;#x222B;&lt;\/mo&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;b&lt;\/mi&gt;&lt;\/msubsup&gt;&lt;mrow \/&gt;&lt;\/math&gt;\">\u222bba\u222bab<\/span><span data-contrast=\"none\">; where f(x) \u2265 g(x) in [a, b]<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:288}\"> <\/span><\/p>\n<ol start=\"3\">\n<li><b><\/b><span data-contrast=\"none\"> 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><\/li>\n<\/ol>\n<p><span data-contrast=\"none\">Area = <\/span><span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;msubsup&gt;&lt;mo stretchy=&quot;false&quot;&gt;&amp;#x222B;&lt;\/mo&gt;&lt;mi&gt;a&lt;\/mi&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;\/msubsup&gt;&lt;mrow&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;msubsup&gt;&lt;mo stretchy=&quot;false&quot;&gt;&amp;#x222B;&lt;\/mo&gt;&lt;mi&gt;c&lt;\/mi&gt;&lt;mi&gt;b&lt;\/mi&gt;&lt;\/msubsup&gt;&lt;mrow \/&gt;&lt;\/mrow&gt;&lt;\/math&gt;\">\u222bca+\u222bbc\u222bac+\u222bcb<\/span><\/p>\n<p><b><span data-contrast=\"none\">NCERT Solutions For Class 12 Maths Chapter 8 Exercises:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">The number of questions given under below exercises:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Exercise 8.1 Solutions : 13 Questions (8 Long, 3 Short, 2 MCQs)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Exercise 8.2 Solutions : 7 Questions(5 Long, 2 MCQs)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Miscellaneous Exercise Solutions: 19 Questions (8 Long, 7 Short, 4 MCQs)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p aria-level=\"3\"><b><span data-contrast=\"none\">NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:160,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">The topics covered in <\/span><b><span data-contrast=\"none\">NCERT Solutions<\/span><\/b><span data-contrast=\"none\"> for Class 12 Maths Chapter 8-Application of Integrals are as follows:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<table data-tablestyle=\"Custom\" data-tablelook=\"0\" aria-rowcount=\"5\">\n<tbody>\n<tr aria-rowindex=\"1\">\n<td data-celllook=\"4369\"><b><span data-contrast=\"none\">Exercise<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:340,&quot;335559740&quot;:342}\"> <\/span><\/td>\n<td data-celllook=\"4369\"><b><span data-contrast=\"none\">Topic<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:340,&quot;335559740&quot;:342}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"2\">\n<td data-celllook=\"4369\"><span style=\"color: #0000ff;\">8.1 <\/span><\/td>\n<td data-celllook=\"4369\"><span style=\"color: #0000ff;\">Introduction <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"3\">\n<td data-celllook=\"4369\"><span style=\"color: #0000ff;\">8.2 <\/span><\/td>\n<td data-celllook=\"4369\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-8-application-of-integrals-exercise-8-1\" target=\"_blank\" rel=\"noopener\">Area under Simple Curves <\/a><\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"4\">\n<td data-celllook=\"4369\"><span style=\"color: #0000ff;\">8.3 <\/span><\/td>\n<td data-celllook=\"4369\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-8-application-of-integrals-exercise-8-2\/\" target=\"_blank\" rel=\"noopener\">Area between Two Curves. <\/a><\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"5\">\n<td data-celllook=\"4369\"><span style=\"color: #0000ff;\">Others <\/span><\/td>\n<td data-celllook=\"4369\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-8-application-of-integrals-exercise-miscellaneous\/\" target=\"_blank\" rel=\"noopener\">Miscellaneous Q&amp;A <\/a><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p aria-level=\"3\"><b><span data-contrast=\"none\">Key Features of NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:160,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<ol>\n<li><span data-contrast=\"none\">Subject specialists assisted in the preparation of these NCERT Solutions.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">Assist students in reinforcing their fundamental understanding of integral applications.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">Content that is well-structured.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">Diagrams are used to answer all of the questions.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">Assist kids with their homework and competitive tests.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559739&quot;:160,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<\/ol>\n<p aria-level=\"2\"><b><span data-contrast=\"auto\">Frequently Asked Questions on NCERT Solutions for Class 12 Maths Chapter 8<\/span><\/b><\/p>\n<ol>\n<li aria-level=\"2\"><span style=\"color: #ff0000;\" data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:620,&quot;335559740&quot;:264}\">How can we score full marks in NCERT Solutions for Class 12 Maths Chapter 8? <\/span><\/li>\n<li aria-level=\"2\"><span style=\"color: #ff0000;\">Are NCERT Solutions for Class 12 Maths Chapter 8 PDF enough to score well in the term \u2013 II exams? <\/span><\/li>\n<li aria-level=\"2\"><span style=\"color: #ff0000;\" data-contrast=\"none\">Why should I study Chapter 8 of NCERT Solutions for Class 12 Maths?<\/span><\/li>\n<\/ol>\n<p aria-level=\"3\"><strong>1. How can we score full marks in NCERT Solutions for Class 12 Maths Chapter 8?<\/strong><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:620,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Experts at Infinity Learn created the NCERT Solutions for Class 12 Maths Chapter 8 after completing an extensive study on each concept. Every minor aspect is thoroughly discussed in order to assist students to 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.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p aria-level=\"3\"><strong>2. Are NCERT Solutions for Class 12 Maths Chapter 8 PDF enough to score well in the term \u2013 II exams? <\/strong><\/p>\n<p><span data-contrast=\"none\">NCERT 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&#8217;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&#8217; time management and problem-solving abilities will improve if they practice these questions on a regular basis.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p aria-level=\"3\"><strong>3. Why should I study Chapter 8 of NCERT Solutions for Class 12 Maths?<\/strong><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:300,&quot;335559739&quot;:620,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">The NCERT 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.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:460,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have created NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals, which includes thorough solutions for [&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":"Class 12 Maths Chapter 8 Application of Integrals","_yoast_wpseo_title":"NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals - Free Download","_yoast_wpseo_metadesc":"NCERT Solutions for Class 12 Maths Chapter 8 - Application of Integrals solved by Expert Teachers as per NCERT (CBSE) Book guidelines. To get the latest 2020 copy of Class 12 Maths NCERT Solutions Chapter 8 visit infinitylearn.com","custom_permalink":"study-materials\/ncert-solutions\/class-12\/maths\/chapter-8-application-of-integrals\/"},"categories":[19,31],"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 - Free Download<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 12 Maths Chapter 8 - Application of Integrals solved by Expert Teachers as per NCERT (CBSE) Book guidelines. 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