{"id":2220,"date":"2021-12-24T14:48:44","date_gmt":"2021-12-24T09:18:44","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=2220"},"modified":"2025-06-03T17:35:48","modified_gmt":"2025-06-03T12:05:48","slug":"ncert-solutions-for-class-12-maths-chapter-7-integrals-ex-7-7-exercise-7-7","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-7\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 7 Integrals (Ex 7.7) Exercise 7.7"},"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-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-7\/#NCERT_Solutions_for_Class_12_Maths_Chapter_7_Integrals_Exercise_77\" title=\"NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.7 \">NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.7 <\/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-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-7\/#FAQs_on_NCERT_Solutions_for_Class_12_Maths_Chapter_7_Exercise_77\" title=\"FAQs on NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.7\">FAQs on NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.7<\/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-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-7\/#In_NCERT_Solutions_for_Class_12_Maths_Chapter_7_what_does_integral_mean\" title=\"In NCERT Solutions for Class 12 Maths Chapter 7, what does integral mean? \">In NCERT Solutions for Class 12 Maths Chapter 7, what does integral mean? <\/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-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-7\/#Is_it_difficult_to_understand_Chapter_7_of_NCERT_Solutions_for_Class_12_Maths\" title=\"Is it difficult to understand Chapter 7 of NCERT Solutions for Class 12 Maths? \">Is it difficult to understand Chapter 7 of NCERT Solutions for Class 12 Maths? <\/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-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-7\/#Where_can_I_find_the_PDF_of_the_NCERT_Solutions_for_Class_12_Maths_Chapter_7\" title=\"Where can I find the PDF of the NCERT Solutions for Class 12 Maths Chapter 7? \">Where can I find the PDF of the NCERT Solutions for Class 12 Maths Chapter 7? <\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>Get access to free PDF downloads of <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\"><strong>NCERT Solutions for Class 12 Maths<\/strong><\/a> Chapter 7 Exercise 7.7, along with solutions for all the other chapter exercises. Our team of qualified teachers has meticulously prepared these solutions in accordance with NCERT (CBSE) guidelines. These resources for Class 12 Maths Chapter 7 Integrals Exercise 7.7 will help you in comprehensively reviewing the entire syllabus and improving your grades. Simply register to receive all the exercise solutions via email.<\/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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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\/2220\" 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\/2021\/12\/Exercise-7.7.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\/Exercise-7.7.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\">Exercise 7.7<br\/><\/a>\n<h2 aria-level=\"2\"><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:360,&quot;335559739&quot;:120,&quot;335559740&quot;:331}\">NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.7 <\/span><\/h2>\n<p>When it comes to preparing for exams, Class 12 CBSE students often turn to NCERT solutions as their top choice. In particular, the solutions for Exercise 7.7 in Class 12 Maths are highly regarded. This chapter contains a variety of exercises, and we&#8217;ve made Exercise 7.7 Math NCERT solutions available for download in PDF format right here on this page. You can easily access and study these solutions on our website or app.<\/p>\n<p>Our team of subject matter experts at Infinity Learns has meticulously tackled the problems and questions in this exercise, ensuring that they align perfectly with CBSE standards. For Class 12 students who have a solid grasp of the concepts in the Math textbook and have practiced the exercises thoroughly, achieving the highest possible grade on the final exam becomes much more attainable. By utilizing the Class 12 Maths Chapter 7 Exercise 7.7 solutions, students can not only understand the question patterns likely to appear on the exam but also gauge the chapter&#8217;s overall importance in terms of marks allocation. This valuable resource equips students with the necessary tools to prepare effectively for the final examination.<\/p>\n<p>In addition to the <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/\"><strong>NCERT solutions<\/strong><\/a> for Class 12 Maths Chapter 7 Exercise 7.7, this chapter offers various exercises with numerous questions. Our team of in-house subject specialists has diligently solved all of these questions, ensuring their quality and reliability. These resources can be instrumental for anyone looking to excel in their exams. It is crucial to thoroughly comprehend all the topics in the textbooks and solve the corresponding exercise questions to strive for the highest grades in your class.<\/p>\n<p><strong>Also Check:<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-1\/\" target=\"_blank\" rel=\"noopener\"><strong>Exercise 7.1 Solutions<\/strong><\/a><\/li>\n<li><strong><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-2\" target=\"_blank\" rel=\"noopener\">Exercise 7.2 Solutions <\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-3\" target=\"_blank\" rel=\"noopener\">Exercise 7.3 Solutions<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-4\" target=\"_blank\" rel=\"noopener\">Exercise 7.4 Solutions <\/a><\/strong><\/li>\n<li><strong>Exercise 7.5 Solutions<\/strong><\/li>\n<li><strong>Exercise 7.6 Solutions<\/strong><\/li>\n<li><strong><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-8\" target=\"_blank\" rel=\"noopener\">Exercise 7.8 Solutions<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-9\" target=\"_blank\" rel=\"noopener\">Exercise 7.9 Solutions <\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-10\" target=\"_blank\" rel=\"noopener\">Exercise 7.10 Solutions<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-11\" target=\"_blank\" rel=\"noopener\">Exercise 7.11 Solutions<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-7-integrals-exercise-miscellaneous\" target=\"_blank\" rel=\"noopener\">Miscellaneous Exercise for Chapter 7 Solutions<\/a><\/strong><\/li>\n<\/ul>\n<h2>FAQs on NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.7<\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"In_NCERT_Solutions_for_Class_12_Maths_Chapter_7_what_does_integral_mean\"><\/span>In NCERT Solutions for Class 12 Maths Chapter 7, what does integral mean? <span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tIn Calculus, the area under a curve is often referred to as an integral. It can be visualized as a mathematical function on a graph. This chapter contains a list of essential formulas for determining the integration of various functions. Integral is also known as antiderivative because we know that some functions' integration formulations are the opposite of their differentiation formulas. This chapter is also regarded as one of the most crucial in terms of exam preparation. \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<h3><span class=\"ez-toc-section\" id=\"Is_it_difficult_to_understand_Chapter_7_of_NCERT_Solutions_for_Class_12_Maths\"><\/span>Is it difficult to understand Chapter 7 of NCERT Solutions for Class 12 Maths? <span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tNo, NCERT Solutions for Class 12 Maths Chapter 7 is not tough to comprehend. It's one of the more engaging topics in Class 12, and it'll be continuing in higher education as well. Students will be able to answer the basic sums of integration more effectively if they have a good understanding of integral formulas. To grasp the principles of integral calculus without difficulty, you must have a solid understanding of derivatives. \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<h3><span class=\"ez-toc-section\" id=\"Where_can_I_find_the_PDF_of_the_NCERT_Solutions_for_Class_12_Maths_Chapter_7\"><\/span>Where can I find the PDF of the NCERT Solutions for Class 12 Maths Chapter 7? <span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tOn Infinity Learn's, you may discover NCERT Solutions for Class 12 Maths Chapter 7. The solutions are created by a highly qualified faculty with a broad conceptual understanding. These are regarded as one of the top-rated options available on the internet. Based on the newest syllabus for 2021-22 and the CBSE board's exam format, all questions from the NCERT textbook are handled in a step-by-step way. \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\": \"In NCERT Solutions for Class 12 Maths Chapter 7, what does integral mean? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"In Calculus, the area under a curve is often referred to as an integral. It can be visualized as a mathematical function on a graph. This chapter contains a list of essential formulas for determining the integration of various functions. Integral is also known as antiderivative because we know that some functions' integration formulations are the opposite of their differentiation formulas. This chapter is also regarded as one of the most crucial in terms of exam preparation.\"\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 it difficult to understand Chapter 7 of NCERT 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\": \"No, NCERT Solutions for Class 12 Maths Chapter 7 is not tough to comprehend. It's one of the more engaging topics in Class 12, and it'll be continuing in higher education as well. Students will be able to answer the basic sums of integration more effectively if they have a good understanding of integral formulas. To grasp the principles of integral calculus without difficulty, you must have a solid understanding of derivatives.\"\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\": \"Where can I find the PDF of the NCERT Solutions for Class 12 Maths Chapter 7? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"On Infinity Learn's, you may discover NCERT Solutions for Class 12 Maths Chapter 7. The solutions are created by a highly qualified faculty with a broad conceptual understanding. These are regarded as one of the top-rated options available on the internet. Based on the newest syllabus for 2021-22 and the CBSE board's exam format, all questions from the NCERT textbook are handled in a step-by-step way.\"\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","protected":false},"excerpt":{"rendered":"<p>Get access to free PDF downloads of NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.7, along with 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 Solutions for Class 12 Maths Chapter 7 Exercise 7.7","_yoast_wpseo_title":"NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.7","_yoast_wpseo_metadesc":"Simple and effective solutions for 12th Grade Mathematics, Chapter 7 - Integrals, specifically Exercise 7.7.","custom_permalink":"study-materials\/ncert-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-7\/"},"categories":[19,31],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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