{"id":2226,"date":"2021-12-24T14:50:33","date_gmt":"2021-12-24T09:20:33","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=2226"},"modified":"2025-06-03T17:35:23","modified_gmt":"2025-06-03T12:05:23","slug":"ncert-solutions-for-class-12-maths-chapter-7-integrals-ex-7-10-exercise-7-10","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-10\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 7 Integrals (Ex 7.10) Exercise 7.10"},"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-7-10\/#NCERT_Class_12_Maths_Chapter_7_Integrals_Exercise_710\" title=\"NCERT Class 12 Maths Chapter 7 Integrals Exercise 7.10\">NCERT Class 12 Maths Chapter 7 Integrals Exercise 7.10<\/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-7-10\/#FAQs_on_NCERT_Solutions_for_Class_12_Maths_Chapter_7_Integrals_Exercise_710\" title=\"FAQs on NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.10\">FAQs on NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.10<\/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-7-10\/#Is_it_necessary_to_go_over_the_examples_in_Exercise_710_of_Chapter_7_of_Class_12_Maths\" title=\"Is it necessary to go over the examples in Exercise 7.10 of Chapter 7 of Class 12 Maths? \">Is it necessary to go over the examples in Exercise 7.10 of Chapter 7 of Class 12 Maths? <\/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-7-10\/#What_are_the_benefits_of_using_NCERT_Solutions_for_Ex_710_Class_12_Maths\" title=\"What are the benefits of using NCERT Solutions for Ex 7.10 Class 12 Maths? \">What are the benefits of using NCERT Solutions for Ex 7.10 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-7-10\/#What_makes_integrals_so_difficult\" title=\"What makes integrals so difficult?\">What makes integrals so difficult?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>All the queries that require examination can be found within the <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\"><strong>NCERT Solutions for Class 12 Mathematics<\/strong><\/a> Chapter 7 on Integrals, specifically in Exercise 7.10. With the aid of concise notes, comprehending the solutions for NCERT Mathematics Class 12 Exercise 7.10 becomes a straightforward task. The Exercise 7.10 solutions in Chapter 7 of Class 12 Mathematics, provided by Infinity Learn, prove to be highly beneficial. Infinity Learn has devised easily understandable notes to assist students in excelling in their examinations. You can conveniently download the CBSE Class 12 Mathematics Chapter 7 Integrals PDF at no cost.<\/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\/2226\" 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-7.10.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-7.10.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 7.10<br\/><\/a>\n<h2 aria-level=\"2\"><span class=\"ez-toc-section\" id=\"NCERT_Class_12_Maths_Chapter_7_Integrals_Exercise_710\"><\/span>NCERT Class 12 Maths Chapter 7 Integrals Exercise 7.10<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Mathematics is an essential subject, regardless of your academic level or field of study. To achieve good grades, it&#8217;s crucial to have a solid understanding of this subject.<\/p>\n<p>The objective of Exercise 7.10 in Class 12 Mathematics is to ensure that you grasp the topic thoroughly. Infinity Learn&#8217;s experts have employed straightforward language to explain each subject, drawing from their extensive teaching experience and study materials.<\/p>\n<p>Once you&#8217;ve mastered the concept of integrals, there&#8217;s no stopping you from acing all the questions in this chapter on any exam. <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/\"><strong>NCERT Solutions<\/strong><\/a> for Class 12 Mathematics, specifically Chapter 7 Exercise 7.1, comprehensively cover the syllabus. These notes have been meticulously crafted through extensive research and align with NCERT guidelines.<\/p>\n<p><strong>Some of the important concepts that are discussed in Exercise 7.10 Class 12 NCERT Solutions are as follows:  <\/strong><\/p>\n<p>Numerous concepts related to integrals are elucidated within the NCERT Solutions for Class 12, Chapter 7, Exercise 7.10. The solutions provided for the significant problems in this chapter are exceptionally well-crafted, offering students the opportunity to attain exceptional results through their study. This excellence is attributed not only to the contributions of seasoned educators but also to the comprehensive research that underlies the development of these materials. Proficient teachers have a deep understanding of what students need to comprehend within the chapter, and they have created these notes in accordance with the standards set by the educational board.<\/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-7-7\" target=\"_blank\" rel=\"noopener\">Exercise 7.7 Solutions<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-8\" 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-7-11\" 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><span class=\"ez-toc-section\" id=\"FAQs_on_NCERT_Solutions_for_Class_12_Maths_Chapter_7_Integrals_Exercise_710\"><\/span>FAQs on NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.10<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<h3><span class=\"ez-toc-section\" id=\"Is_it_necessary_to_go_over_the_examples_in_Exercise_710_of_Chapter_7_of_Class_12_Maths\"><\/span>Is it necessary to go over the examples in Exercise 7.10 of Chapter 7 of 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\tThe examples in Exercise 7.10 of Chapter 7 of Class 12 Maths are just as important as the other exercises' questions. Exams sometimes include questions based on examples, so preparing them will help you avoid losing any marks. The majority of the problems in the exercises are also based on these examples, so practicing them will make it easier for you to understand and complete the exercises. \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=\"What_are_the_benefits_of_using_NCERT_Solutions_for_Ex_710_Class_12_Maths\"><\/span>What are the benefits of using NCERT Solutions for Ex 7.10 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\tYou have extra exercises to practice in addition to the study material. The first step is to study and understand the entire Ex 7.10 Class 12 Maths Solutions. Then you can quickly reproduce some of the material's solved examples. All of the calculations are completed in a series of steps. You will not get decent grades if you do not follow the same processes for tests. There is step marking in Ex 7.10 Class 12 Maths Solutions. As a result, in order to receive full marks, you must complete all of the procedures correctly and provide the correct answer. Using shortcut methods to get to the final answer will not earn you any points. In Maths NCERT Solutions Class 12 Chapter 7 Exercise 7.10, there are solutions with questions. Other activities have solutions as well. \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=\"What_makes_integrals_so_difficult\"><\/span>What makes integrals so difficult?<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\tIntegrals could be a nightmare for a student who skips any lesson or struggles to understand the basic notion of any issue. As a result, it's critical that you practice a variety of sums and become familiar with the various levels of difficulty. To fully comprehend any topic, practice as many sums as possible.\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\": \"Is it necessary to go over the examples in Exercise 7.10 of Chapter 7 of 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 examples in Exercise 7.10 of Chapter 7 of Class 12 Maths are just as important as the other exercises' questions. Exams sometimes include questions based on examples, so preparing them will help you avoid losing any marks. The majority of the problems in the exercises are also based on these examples, so practicing them will make it easier for you to understand and complete the exercises.\"\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\": \"What are the benefits of using NCERT Solutions for Ex 7.10 Class 12 Maths? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"You have extra exercises to practice in addition to the study material. The first step is to study and understand the entire Ex 7.10 Class 12 Maths Solutions. Then you can quickly reproduce some of the material's solved examples. All of the calculations are completed in a series of steps. You will not get decent grades if you do not follow the same processes for tests. There is step marking in Ex 7.10 Class 12 Maths Solutions. As a result, in order to receive full marks, you must complete all of the procedures correctly and provide the correct answer. Using shortcut methods to get to the final answer will not earn you any points. In Maths NCERT Solutions Class 12 Chapter 7 Exercise 7.10, there are solutions with questions. Other activities have solutions as well.\"\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\": \"What makes integrals so difficult?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Integrals could be a nightmare for a student who skips any lesson or struggles to understand the basic notion of any issue. As a result, it's critical that you practice a variety of sums and become familiar with the various levels of difficulty. To fully comprehend any topic, practice as many sums as possible.\"\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>All the queries that require examination can be found within the NCERT Solutions for Class 12 Mathematics Chapter 7 on [&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":"exercise 7.10 class 12 maths","_yoast_wpseo_title":"NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.10","_yoast_wpseo_metadesc":"Easy solutions to Class 12 Maths Chapter 7,Integrals. Exercise 7.10 from NCERT textbook, made by expert faculty of Infinity learn.","custom_permalink":"study-materials\/ncert-solutions\/class-12\/maths\/chapter-7-integrals-exercise-7-10\/"},"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 7 Integrals Exercise 7.10<\/title>\n<meta name=\"description\" content=\"Easy solutions to Class 12 Maths Chapter 7,Integrals. 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