NCERT Solutions for Class 12 Maths Chapter 8 Application of integrals
NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals: In geometry, you must have learned some formulas to calculate areas of simple geometrical figures like triangles, rectangles, trapeziums, circles, etc. But how do you calculate areas enclosed by curves? In this article, you will get NCERT solutions for class 12 maths chapter 8 application of integrals. This article also includes applications of integrals class 12. Important topics that are going to be discussed in this chapter 8 class 12 maths are the area under simple curves, the area between lines and arcs of circles, parabolas, and ellipses.
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In NCERT solutions for class 12 maths chapter 8 applications of integrals article, questions from all these topics are covered. In this composition of Class 12 Maths Chapter 8 NCERT solutions application of integrals, you will learn some important application of integrals class 12. If you are interested to check all NCERT solutions from class 6 to 12 in a single place, which will help you to learn CBSE maths and science. Here you will get NCERT solutions for class 12.
- Class 12 Maths Chapter 9 Applications of integrals Notes
- NCERT Exemplar Solutions for Class 12 Maths Chapter 8 Applications of Integrals
Topics and sub-topics of NCERT Grade 12 Maths Chapter - 8 Application of integrals-
8.2 Area under Simple Curves
8.2.1 The area of the region bounded by a curve and a line
8.3 Area between Two Curves
If you are looking for exercises solutions for chapter application of integrals class 12 then these are listed below.
- Applications Of Integrals Class 12 Exercise 8.1
- Applications Of Integrals Class 12 Exercise 8.2
- Application Of Integrals Class 12 Miscellaneous Exercise
More about NCERT Solutions for Class 12 Maths chapter 8
Generally, one question (5 marks) is asked from this ch 8 maths class 12 in the 12th board final exam and you can score these 5 marks very easily with help of these NCERT solutions for class 12 maths chapter 8 application of integrals. In this chapter 8 class 12 maths, there are 2 exercises with 20 questions. In the NCERT solutions for class 12 maths chapter 8 application of integrals, these questions are prepared and explained in a detailed manner using diagrams.
There are a total of 14 solved examples are given in the NCERT textbook to give a better understanding of the concepts related to the application of integrals class 12. Applications of integrals class 12 are indispensable for the Board exam. At the end of the chapter, 19 questions are given in a miscellaneous exercise. In the NCERT solutions for class 12 maths chapter 8 application of integrals article, you will get solutions to miscellaneous exercises too.
- NCERT Exemplar Class 12 Chemistry Solutions
- NCERT Exemplar Class 12 Mathematics Solutions
- NCERT Exemplar Class 12 Biology Solutions
- NCERT Exemplar Class 12 Physics Solutions
Let's understand these topics with help of examples
- How to find the area under simple curves- To find the area bounded by the curve and the ordinates and . Let assume that area under the curve as composed of large numbers of very thin vertical strips. Consider an arbitrary strip of width dx and height y ,then area of the elementary strip(dA) = ydx , where, y = f(x). This small area called the elementary area.
- How to find the area of the region bounded by a curve and a line- In this subsection, we will find the area of the region bounded by a line and a circle, a line and an ellipse, a line and a parabola. Equations of the above-said curves will be in their standard forms only.
NCERT solutions for class 12 maths - Chapter wise
NCERT solutions for class 12 maths chapter 8 Application of Integrals
NCERT solutions for class 12 subject wise
- NCERT solutions for class 12 mathematics
- NCERT solutions class 12 chemistry
- NCERT solutions for class 12 physics
- NCERT solutions for class 12 biology
NCERT Solutions class wise
- NCERT solutions for class 12
- NCERT solutions for class 11
- NCERT solutions for class 10
- NCERT solutions for class 9
Benefits of NCERT solutions:
- These NCERT solutions for Class 12 Maths Chapter 8 application of integrals are very easy to understand as they are explained and are prepared in a detailed manner.
- Scoring good marks in the 12th board exam is now a reality with the help of these solutions of NCERT for class 12 maths chapter 8 application of integrals.
- NCERT solutions for Class 12 Maths Chapter 8 PDF download provides in-depth knowledge of the concepts as well as different ways to solve the problems.
- NCERT solutions for class 12 maths chapter 8 application of integrals are prepared by experts who know how to answer to score well in the board exam.
- You will also get some short tricks to check whether the answer is correct or not.
Happy Reading !!!
Frequently Asked Question (FAQs) - NCERT Solutions for Class 12 Maths Chapter 8 Application of integrals
Question: What is the weightage of the chapter Application of integrals for CBSE board exam ?
Generally, one question of 5 marks is asked from this chapter in the 12th board final exam but if you want to obtain the full 5 five marks that demands practice, good strategy, and command of concepts, and therefore NCERT textbooks, NCERT syllabus becomes very important. it is advised for students to precisely go through the basics to score good marks.
Question: How does the NCERT solutions are helpful in the CBSE board exam ?
Only knowing the answer is not enough to score good marks in the exam. One should know how to write the answer to board exam in order to get good marks. NCERT solutions are provided by experts who knows how best to write the answer in the board exam in order to get good marks.
Question: Does CBSE provides the solutions of NCERT for class 12 maths ?
No, CBSE doesn’t provide NCERT solutions for any class or subject but you can download NCERT solutions from the careers360 website. On the careers360 website, you not only find NCERT solutions but also you can read NCERT Notes, NCERT Syllabus, and solutions of NCERT exercises.
Question: Where can I find the complete solutions of NCERT for class 12 maths ?
Here you will get the detailed and comprehensive NCERT Solutions for class 12 maths by clicking on the link. if you want to study other material like NCERT Syllabus, NCERT Notes, NCERT Exercise Solutions, etc then you can browse the careers360 official website.
Question: What are the important topics in chapter Application of integrals ?
Some applications of integrals like finding area under simple curves, area of the region bounded by a curve and a line, and area between two curves are the important topics covered in this chapter.
Question: Which is the official website of NCERT ?
NCERT official is the official website of the NCERT where you can get NCERT textbooks and syllabus from class 1 to 12 that can be downloaded and studied offline.
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Questions related to CBSE Class 12th
pls tell correct info about compartment and improvement exams 2022. pls o want to know all the processes. pleasw
Hello,if you are from cbse board then your compartment exams will be organised by the central Board of secondary education.These examinations are held for those students who will not clear the class 10th or class 12th exam in one or two subjects.Cbse has a provision for providing three chances to clear the compartment exam.If you are not able to clear your exams or secure good grades even after three attempts you are considered failed .Both private and regular students can apply for cbse compartment examination.For class 10th compartment examinations will begin from 25th August and end on 8th of September whereas for class 12th students examinations will begin from 25th August and end on 15th September.The application form is different for every individual hailing from different categories.If you are a regular student who appeared in class 12th examinations during the month of April/June and their result is declared compartment are eligible to appear for compartment examinations.if you have failed in more than one subject then you will have to appear for two subjects in which you faced compartment.If you were not able to clear one subject you can appear for compartment examinations under the improvement of performance category.Regular students may habe to go to the school and enquire about compartment examinations whereas private students can easily apply through the cbse site .
This is the criteria i have told you for the cbse board.If you are from any other board like hp board,up board or Maharashtra board,let me know and i would enlighten you with the knowledge i have regarding the compartment examinations held by these boards
if someone got 80% in term one, passed term 2 practical but failed in term 2 theory cbse class 12th will they be considered pass or fail in 12th?
See , frankly speaking, this year many new guidelines have been issued by the C.B.S.E . So , it will be better if you wait for the results to be declared. If , you are failing in one or two subjects, you can again give the exam this year and pass it .
I want to take a admission in class 12 privately.. so can I???
Yes, you can take admission in class 12th privately there are many colleges in which you can give 12th privately.
Im in class 12 CBSE right now. I feel Im going to fail in my core subjects because of my weak preparation. Please guide me on what should I do in case I end up failing? Should I take private or compartment or improvement? I might fail in all 3 main subjects (PCM) or 2 subjects. Its confusing.
--> If you fail in 2 subjects - You will be eligible for giving compartment exams of both of them. However, if you fail in 3 exams your result will be declared as - Fail. Hence, you have to repeat a year again in-order to clear 12th.
Remember that life doesn't end, if you haven't passed your 12th. There are lot of options to get succeed in life.
In case you couldn't clear in Class 12, you may use your 10th standard certificate and get enrolled in diploma courses such as Mechanical Engineering, Electrical Engineering etc.
All the best!
sir board exam 2022-23 me 30% syllabus reduce hoga?
Dear aspirant !
Hope you are doing great ! No, why will it reduce ,there is no covid like situation as in the past years ,so why are you wasting your time by thinking such thoughts,no syllabus will be reduced onwards ,if covid situation arises then there may be possibility to reduce the syllabus , but as see the present situation ,no syllabus will deduct ,and also if syllabus reduced then it is not profitable for you because in neet and jee ,full syllabus comes , so if they reduce the syllabus then study full syllabus !
Hope it helps you