NCERT Exemplar Class 12 Maths Solutions Chapter 7 Integrals
NCERT exemplar class 12 Maths solutions chapter 7 Integrals is one of the most important subjects for those who want to prepare for the advanced levels of mathematics and also want to score higher in their exams, studying this chapter is crucial. The NCERT Exemplar Solutions for Class 12 Maths Chapter 7 holds major importance in both board exams of CBSE and also in competitive exams. Students can utilize the NCERT exemplar class 12 Maths solutions chapter 7 PDF download function to download the solutions and make learning even more convenient and easy to follow and understand
Latest Updates for CBSE Class 12th
 18 Oct 2021:
CBSE Board exam 2022 Class 12 date sheet released for term 1 exams. Check now.
 03 Sep 2021:
CBSE Class 12 sample papers 2022 are available to download for term 1 exams.
 30 Jul 2021:
CBSE 12th result 2021 released: Direct Link to download CBSE class 12 result
Stay upto date with CBSE Class 12th News
Question:30
Answer:
By applying partial fraction;
By applying the given limits 0 to π/2
Question:43
Evaluate the following:
(Hint: Put )
Answer:
Given:
Put
Taking out common in both the numerators
Put (2) and (3) in (1)
Question:44
Evaluate the following:
(Hint: Divide Numerator and Denominator by )
Answer:
Given:
Dividing Numerator and Denominator by
Question:53
Answer:
C)
Given:
Using concept of partial fractions
On solving the above three equations we get
On comparing (1) and (2) we get,
Question:63
Fill in the blanks in each of the following
The value of is ____________.
Answer:
0
Using the property:
More About Ncert Exemplar Class 12 Maths Solutions Chapter 7 Integrals
Calculus can pose to be a difficult part of mathematics for many, but if one knows what to study and how to study then it can be simplified easily. NCERT Exemplar Class 12 Maths Solutions Chapter 7 are not only crucial for mathematics and higher education point of view. It is also one of the highly scoring chapters of NCERT Class 12 Maths solutions.
But it is also needed to study physics. In physics integrals play a major role, as it is used in topics like gravitation, work, probability, kinetic energy etc. therefore, the students must pay attention to what integrals are and how it is applied.
NCERT Exemplar Solutions For Class 12 Maths Chapter 7 Integrals SubTopics Covered
The sub topics covered in NCERT exemplar class 12 Maths chapter 7 solutions are:
 Introduction
 Integration as an inverse process of differentiation
7.2.1 Geometric interpretation of indefinite integral
7.2.2 Some properties of indefinite integral
7.2.3 Comparison between integration and differentiation
 Methods of integration
7.3.1 Integration by substitution
7.3.2 Integration by trigonometric identities
 Integrals of some particular functions
 Integration of partial functions
 Integration by parts
7.6.1 Integral of the typefxf'xdx
7.6.2 Integral of some other types
 Definite integrals
7.7.1 Definite integral as a limit of a sum
 The fundamental theorem of calculus
7.8.1 Area function
7.8.2 First fundamental theorem of integral calculus
7.8.3Second fundamental theorem of integral calculus
 Evaluation of definite integrals by substitution
 Some properties of definite integrals
What can you learn in class 12 Maths NCERT exemplar solutions chapter 7?
In NCERT Exemplar Class 12 Mathematics Chapter 7 Integrals, students will get a better picture of what are integrals and how it is used in advanced calculus. Here, they will learn about integration and geometric representation of the same using graphs. One will learn in detail about various methods of integration, the difference between differentiation and integration, and indefinite integral properties.
Many students tend to find integrals as a chapter that is difficult and hassling. But they should remember that if one wants to score well in exams and also pursue a career in engineering, then understanding and studying integrals is crucial. Therefore, one should ask as many questions as possible to get a hang of the topic.
NCERT Exemplar Solutions for Class 12 Maths Chapter 7 will help in tackling the questions asked in this topic. One should practice the questions as much as possible and should use the Class 12 Maths NCERT Exemplar Solutions Chapter 7 as reference. This will not only make the student confident about integrals but also for tackling any numerical they get in the exam.
NCERT Exemplar Class 12 Maths Solutions
Benefits of NCERT Exemplar Class 12 Maths Solutions Chapter 7
 In NCERT Exemplar Class 12 Maths Solutions Chapter 7, there are a variety of concepts and topics covered. The main aim is to make the students well aware of integrals and its operations, so much so that any question can be solved easily. Students will learn how to find integrals for various types of functions.
 Integrals are the opposite of derivatives of a function and are denoted by the area under the function curve. When it comes to integrals, it can be stated as the opposite of differential calculus. In simple words, integrals describe the numerical value of any type of change like distance like displacement, volume, area and work.
 NCERT Exemplar Class 12 Maths Chapter 7 Solutions deals with the important topics coming for the exams which are the methods, functions and operations.
NCERT Exemplar Class 12 Solutions
Also, check NCERT Solutions for questions given in book:
Frequently Asked Question (FAQs)  NCERT Exemplar Class 12 Maths Solutions Chapter 7 Integrals
Question: Are these solutions helpful for competitive examinations?
Answer:
Indeed, the Class 12 Maths NCERT Exemplar Solutions Chapter 7 covers the syllabus of the competitive exams like NEET and JEE to help you ace them.
Question: What are the important topics of this chapter?
Answer:
Methods of Integration, Integration by Parts and Fundamental Theorem of Calculus are some of the important topics of this chapter. However, rest should not be neglected either.
Question: How many questions are there in this chapter?
Answer:
The NCERT Exemplar Solutions for Class 12 Maths Chapter 7 consists of 1 exercise with 63 distinct questions for practice.
Question: How many times should one need to read the NCERT books?
Answer:
Students should read the books enough times months before your exam for better remembering. They can also take help of NCERT exemplar class 12 Maths solutions chapter 7 pdf download using an online webpage to pdf tool.
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Questions related to CBSE Class 12th
if any candidate has compartment in cbse any one subject but then candidate passed compartment exam then he / she is not eligible for upcet exam
Dear Annu,
If a candidate has cleared that compartment exam, then he/she is eligible for the exam. As the final result will not include your compartment result, it will depict your overall result after passing the compartment or reappear marks.
Hope this helps.
Good Luck :)
when cbse class 12 date sheet will be released for 202021
Dear,
Central Board of Secondary Education (CBSE) will release the CBSE term 1 exam dates 202122 on October 18 on the official website cbse.gov.in. The exams are expected to begin from November 15 and go on till December 2021. Once released, the CBSE Class 12 date sheet 2022 will be made available on our website for students and parents. Students preparing for the CBSE Class 12th board exams 2022 should download and save the date sheet and refer to it for preparation of different subjects.
Hope this helps!
CBSE class 12th exam date 2022
CBSE have not yet released the date sheet of class 12th board exam, it is expected that the board will release CBSE class 12th term 1 datesheet on 18th October 2021, the datesheet will be available on the official website for term 1 on 18th October 2021 on cbse.gov.in
The board will release the datesheet for all the steam ie. Arts, science and commerce, the exam for skill subjects will start from 15th November and the exam for mains subjects will start from 24th November, the board will conduct class 12th exam in two terms, where 50% syllabus will be covered in term 1 and another 50% will be covered in term2.
For more relevant information, you may visit here:
https://school.careers360.com/articles/cbseclass12datesheet
Hope this helps, all the best.
In Neet 2021 phase 2 details, the selection for code for class 12th is quite confusing. It is for CBSE class 12th 2021 passed out. so what code should be entered. can you clarify this
Hi
You need to choose the code 2 .
This is because,
Now your results are out and you have passed it and code 2 says it is for all those who have passed their 10+2/higher /senior secondary/ Indian School Certificate Examination with physics, chemistry, biology/biotechnology and English
Here's a short brief of Neet codes :
) Code 1 : code 1 is for class 12th board 2021 examination appearing students with physics, chemistry, biology and English or have have already appeared but results are awaited i. e have not been declared.
) Code 2 : code 2 is for all those who have passed their 10+2/higher /senior secondary/ Indian School Certificate Examination with physics, chemistry, biology/biotechnology and English
) Code 3 : code 3 says it is for those passed their intermediate / pre degree examination with physics, chemistry, biology/biotechnology and English ,your physics, chemistry and biology/biotechnology should also contain practical exam.
) Code 4 : pre  medical degree with Physics, chemistry and biology/biotechnology after passing hsc i. e 10+2 or puc or equivalent.
) Code 5 : code 5 is for all those who have passed 1 st year graduation with all the three of Physics, chemistry and biology/biotechnology
) Code 6 : code 6 is for all those students who have passed BSc with at least any two of following subjects :
>>>>Physics,
>>>>chemistry ,
>>>>biology/biotechnology
) Code 7 : code 7 is for those who have passed their examination from foreign board which is equivalent of Indian 10+2 board.
For more about codes visit
https://medicine.careers360.com/articles/neetqualificationcodes
Your neet 2021 application/registration is divided in 2 parts:

1st part/phase of registration to be filled before neet 2021 examination

2nd part/phase registration to be filled after neet 2021 examination
NTA has opened the window for neet phase 2 cum phase 1 correction on 1st october 2021 and the last date for it is 10th October upto 11:50 pm
To fill neet phase2 registration, you can follow the below steps:
) First of visit the official website i. e neet.nta.nic.in
) Then click on NEET phase 2 registration.
To make it even easier for you the direct link is given below : https://testservices.nic.in/NEET2021/Root/home.aspx?appFormId=101042111
) Now, log in using your log in credentials
) Fill the details asked , recheck everything.
) Finally, click on the submit button.
For details checkout
https://medicine.careers360.com/articles/neetphase2registration
) Documents to be uploaded in part/phase 2 of application form filling
>>>>>>Your Class X pass certificate

pdf format

size: 50 kb to 300kb
>>>>>>category certificate if you belong to ews/ obc /sc/st

pdf format

size: 50kb to 300kb
>>>>>>PwBD certificate ( if applicable)

pdf format

size: 50kb to 300kb
>>>>>> Citizenship certificate or Embassy certificate or any kind of Documentary proof for Citizenship certificate ( for foreign applicants)

PDF format

file size: 50 kb to 300 kb
For complete details about documents visit : https://medicine.careers360.com/articles/neetphotosizeformatdocuments
To help you further,
last 3 years neet qualifying cut off data is given below for reference
:
. Year wise cut off marks
Category 2020 2019 2018
General 720147 701134 691119
URPH 146129 133120 118107
Obc/sc/st 146113 133107 118  96
You can check the same at
https://medicine.careers360.com/articles/neetcutoff
To get the complete list of colleges in which you have chances, you can go through our college predictor at
https://medicine.careers360.com/neetcollegepredictor?utm_source=qna
It gives you a personalized report with top college in which you have chances for admission , with the help of predicted colleges you can make better choice while filling your choices of colleges during your counselling
Thank you
jac class 12 th Compamental result 2021 declare date
Hello Aspirant,
Hope you are doing well.
JAAC 12th compartment results will be announced in September 2021 by the Jharkhand Academic Council. The compartment results for the 12th board of examination will be available online at jacresults.com, the official result website. It is possible for students to check the JAC inter compartment result 2021 in the same way that they can check the annual JAC 12th result 2021.
To view the JAC 12th compartmental result 2021, they must first enter their roll number and roll code. July 2021 will be the date for the 12th compartment examination of the Joint Assessment Commission. The results of the JAC intermediate compartment were announced online on December 29, 2020, which was the same date as the previous season.
Hope you got the answer to your question. Incase of any queries, feel free to question. Have a great day!