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NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7. 6 Integrals - PDF Download

JEE Mains & Advanced

NCERT solutions for class 12 maths chapter 7 exercise 7.6 Integrals is based on the questions related to the integration by parts or partial integration method. In integrating products of functions, the partial integration method of integration is quite useful. We obtain the integration by parts formula using the product rule of differentiation. All the solutions for questions of ex 7.6 class 12 maths chapter 7 are developed by the academic team of mathematics at eSaral for students to get a deep knowledge of concepts. 

Class 12 maths chapter 7 exercise 7.6 NCERT solutions consist of 24 questions that require the use of integration by parts, integral of the type. These questions are simple to medium level. You will get a detailed explanation of questions by going through NCERT solutions provided by eSaral. These solutions are also made available here in free PDF format which can be downloaded from the website of eSaral. This will help you to prepare for exams and score good marks. Here, we have provided the link to download the NCERT solution PDF. 

Topics Covered in Exercise 7.6 Class 12 Mathematics Questions

Ex 7.6 class 12 maths solutions are based on the methods of integration by parts and integral of the type. Our subject experts have explained these topics in simple language which you can check below.

1.

Integration by Parts

  • Integral of the type

  1. Integration by Parts

For given functions f 1 and f 2 , we have 

$\int f_1(x) \cdot f_2(x) d x=f_1(x) \int f_2(x) d x-\int\left[\frac{d}{d x} f_1(x) \cdot \int f_2(x) d x\right] d x$ , i.e., 

The integral of the product of two functions = first function × integral of the second function – integral of {differential coefficient of the first function × integral of the second function}. Care must be taken in choosing the first function and the second function. Obviously, we must take that function as the second function whose integral is well known to us.

  • Integral of the type

You will learn in this topic the different methods integral of the type to solve exercise questions. This topic is explained in class 12 maths chapter 7 ex 7.6 NCERT textbook

Tips for Solving Exercise 7.6 Class 12 Chapter 7 Integrals

Here, you will get useful benefits provided by experts of eSaral for solving exercise 7.6 class 12 maths chapter 7.

  1. Ex 7.6 class 12 maths ch 7 questions which requires clear understanding of methods of integration by parts. You must be well versed with these concepts for solving ex 7.6 questions.

  2. You must practice a wide variety of problems and examples in order to accurately identify which function can be integrated by parts. 

  3. Read the question carefully and understand the nature of the question to comprehend what function should be used to solve that question.

Importance of Solving Ex 7.6 Class 12 Maths Chapter 7 Integrals 

Students can get numerous benefits of solving ex 7.6 class 12 maths chapter 7 Integrals.

  1. When multiplying two functions together, the integration by parts approach is commonly utilized to solve questions in ex 7.6.

  2. NCERT solutions class 12 maths chapter 7 ex 7.6 is created by the experienced teachers of eSaral that you can trust without any doubt.

  3. By solving questions in NCERT solutions for class 12 maths will help you revise the concepts completely. 

  4. Practicing questions and examples in NCERT solutions will boost your confidence and improve your time management skills.

Frequently Asked Questions

Question 1. Is NCERT solutions for class 12 maths chapter 7 ex 7.6 difficult?

Answer 1. No, it's not difficult. You should practice frequently to improve your understanding of the concepts in this exercise. Make sure you understand this exercise well, and revise everything which is provided in NCERT solutions. In order to score good marks in board exams, you must practice questions, concepts and examples provided in NCERT solutions class 12 maths ex 7.6 by subject experts of eSaral. 

Question 2. What are the main concepts of ex 7.6 class 12 maths chapter 7?

Answer 2. Ex 7.6 class 12 maths chapter 7 is based on the methods of integration by parts. You can find a detailed explanation of this topic by going through the NCERT solutions class 12 maths provided by eSaral.

 

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