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NCERT Solutions for Exercise 7.6 Class 12 Maths Chapter 7 Integrals are discussed here. These NCERT solutions are created by subject matter expert at Careers360 considering the latest syllabus and pattern of CBSE 2023-24. In NCERT solutions for Class 12 Maths chapter 7 exercise 7.6 functions like logarithmic, inverse trigonometric functions, exponential functions etc. are discussed in step by step manner. Solutions to exercise 7.6 Class 12 Maths are prepared in a holistic manner by subject matter experts. Hence NCERT solutions for Class 12 Maths chapter 7 exercise 7.6 provided below can be a good source. There is no need to refer to any other book for these topics as the content provided in the NCERT book is more than sufficient for the examination. Practicing from this exercise can help students score well in exams like JEE Main.
12th class Maths exercise 7.6 answers are designed as per the students demand covering comprehensive, step by step solutions of every problem. Practice these questions and answers to command the concepts, boost confidence and in depth understanding of concepts. Students can find all exercise together using the link provided below.
Integrals Class 12 Chapter 7 Exercise: 7.6
Question:1 Integrate the functions
Answer:
Given function is
We will use integrate by parts method
Therefore, the answer is
Given function is
We will use integration by parts method
Therefore, the answer is
Given function is
We will use integration by parts method
Again use integration by parts in
Put this value in our equation
we will get,
Therefore, answer is
Given function is
We will use integration by parts method
Therefore, the answer is
Given function is
We will use integration by parts method
Therefore, the answer is
Given function is
We will use integration by parts method
Therefore, the answer is
Given function is
We will use integration by parts method
Now, we need to integrate
Put this value in our equation
Therefore, the answer is
Given function is
We will use integration by parts method
Put this value in our equation
Therefore, the answer is
Given function is
We will use integration by parts method
Now, we need to integrate
Put this value in our equation
Therefore, the answer is
Given function is
we will use integration by parts method
Therefore, answer is
Consider
So, we have then:
After taking as a first function and as second function and integrating by parts, we get
Or,
Consider
So, we have then:
After taking as a first function and as second function and integrating by parts, we get
Consider
So, we have then:
After taking as a first function and as second function and integrating by parts, we get
Consider
So, we have then:
After taking as a first function and as second function and integrating by parts, we get
Consider
So, we have then:
Let us take ....................(1)
Where, and
So,
After taking as a first function and as second function and integrating by parts, we get
....................(2)
After taking as a first function and as second function and integrating by parts, we get
................(3)
Now, using the two equations (2) and (3) in (1) we get,
Let suppose
we know that,
Thus, the solution of the given integral is given by
Let suppose
by rearranging the equation, we get
let
It is known that
therefore the solution of the given integral is
Let
substitute and
let
It is known that
Therefore the solution of the given integral is
It is known that
let
Therefore the required solution of the given above integral is
It is known that
So, By adjusting the given equation, we get
to let
Therefore the required solution of the given integral is
let
Taking as a first function and as a second function, by using by parts method
we know that,
from above integral
let
thus, the solution of the above integral is
The NCERT Class 12 Maths chapter Integrals is enough to have a command on this chapter. Exercise 7.6 Class 12 Maths provided here are step by step solutions and covers theoretical concepts also in the questions. NCERT solutions for Class 12 Maths chapter 7 exercise 7.6 is a one stop solution to score well in the exam.
Also Read| Integrals Class 12 Notes
Happy learning!!!
There are broadly 2 types of integration, i.e Definite and indefinite Integrals.
Indefinite integrals are defined without upper and lower limits i.e its range is not defined.
Integrals can be used in finding the quantities of area, volume, displacement etc.
This exercise mainly deals with advanced level of problems which are important for competitive examinations only. In the board examination, 5 markers can be asked from this exercise.
Integrals of logarithmic, exponential and inverse trigonometric functions are discussed in this exercise.
There are 24 questions in this Exercise 7.6 Class 12 Maths.
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Hello there! Thanks for reaching out to us at Careers360.
Ah, you're looking for CBSE quarterly question papers for mathematics, right? Those can be super helpful for exam prep.
Unfortunately, CBSE doesn't officially release quarterly papers - they mainly put out sample papers and previous years' board exam papers. But don't worry, there are still some good options to help you practice!
Have you checked out the CBSE sample papers on their official website? Those are usually pretty close to the actual exam format. You could also look into previous years' board exam papers - they're great for getting a feel for the types of questions that might come up.
If you're after more practice material, some textbook publishers release their own mock papers which can be useful too.
Let me know if you need any other tips for your math prep. Good luck with your studies!
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hello mahima,
If you have uploaded screenshot of your 12th board result taken from CBSE official website,there won,t be a problem with that.If the screenshot that you have uploaded is clear and legible. It should display your name, roll number, marks obtained, and any other relevant details in a readable forma.ALSO, the screenshot clearly show it is from the official CBSE results portal.
hope this helps.
Hello Akash,
If you are looking for important questions of class 12th then I would like to suggest you to go with previous year questions of that particular board. You can go with last 5-10 years of PYQs so and after going through all the questions you will have a clear idea about the type and level of questions that are being asked and it will help you to boost your class 12th board preparation.
You can get the Previous Year Questions (PYQs) on the official website of the respective board.
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
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