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

1.  Integrals of some more types

Here, we discuss some special types of standard integrals based on the technique of integration by parts:

(i) $\int \sqrt{x^2-a^2} d x=\frac{x}{2} \sqrt{x^2-a^2}-\frac{a^2}{2} \log \left|x+\sqrt{x^2-a^2}\right|+\mathrm{C}$

(ii) $\int \sqrt{x^2+a^2} d x=\frac{x}{2} \sqrt{x^2+a^2}+\frac{a^2}{2} \log \left|x+\sqrt{x^2+a^2}\right|+\mathrm{C}$

(iii) $\int \sqrt{a^2-x^2} d x=\frac{x}{2} \sqrt{a^2-x^2}+\frac{a^2}{2} \sin ^{-1} \frac{x}{a}+\mathrm{C}$

Tips for Solving Exercise 7.7 Class 12 Chapter 7 Integrals

NCERT solutions for ex 7.7 class 12 maths chapter 7 will guide students to use the tips in which a specific type of function can be integrated.

1. In order to solve these specific integral forms and use the integration by part method, you must have a solid grasp of the previous exercise and a basic understanding of the associated rules.

2. The steps for solving these integrals of special functions should be closely followed by students. The probability of making mistakes will be decreased by carefully following these steps.

3. Through solving numerous problems in the exercise, students will gain the knowledge and proficiency to simplify the functions into a form that is simple to integrate.
   

Importance of Solving Ex 7.7 Class 12 Maths Chapter 7 Integrals

There are a lot of benefits of solving questions in ex 7.7 class 12 maths chapter 7 Integrals. Our experts of eSaral have provided some of them that will help you in many ways.

1. In ex 7.7 class 12 maths ch 7, all the questions are solved by eSaral’s expert teachers in step by step method to provide clear understanding of standard integrals.

2. The topic of some special types of standard integrals are explained in a simple and detailed manner that will help you to solve questions with ease in board exams.

3. NCERT solution PDF for ex 7.7 class 12 maths has included answers for all the questions in sequential manner. You can cross check your answers with the solution PDF.

4. Practicing questions in NCERT solutions class 12 maths chapter 7 ex 7.7 will improve your time management skills and provide accuracy in solving questions.

Frequently Asked Questions

Question 1. What is the main topic in NCERT solutions class 12 maths chapter 7 ex 7.7?

Answer 1. Ex 7.7 class 12 maths chapter 7 is all about finding solutions by some specific types of standard integrals. 

Question 2. Where can I find NCERT solution PDF for ex 7.7 class 12 maths chapter 7?

Answer 2. You can easily find NCERT solution PDF for ex 7.7 class 12 maths chapter 7 on eSaral website. These solution PDFs can be downloaded for free from eSaral online.