NCERT Solutions for CBSE class 12 Maths

NCERT Solutions for Class 12 Maths Exercise 7.6 Integrals: Important Topics

The Maths NCERT solutions Class 12 Chapter 7 deals with Integration by Parts. It is one of the most important chapters as it helps students to prepare for the fundamentals of the competitive exams such as JEE, NEET and more. Furthermore, it can also be helpful for the students to prepare for the basics and learn the advanced concepts of integration in college.

Topic Name	Topic Name	Topic Name
Integration as an Inverse Process of Differentiation	Comparison Between Differentiation and Integration	Integration Using Trigonometric Identities
Geometrical Interpretation of Indefinite Integral	Methods of Integration	Integrals of Some Particular Functions
Some Properties of Indefinite Integral	Integration by Substitution	Integration by Partial Fractions

Topic Name

Integration as an Inverse Process of Differentiation

Comparison Between Differentiation and Integration

Integration Using Trigonometric Identities

Geometrical Interpretation of Indefinite Integral

Methods of Integration

Integrals of Some Particular Functions

Some Properties of Indefinite Integral

Integration by Substitution

Integration by Partial Fractions

Embibe provides mock tests, video lessons and other necessary products for the respective topics so that the student will gain a clarity and clear understanding on the chapter and topic.

NCERT Solutions for Class 12 Maths Chapter 7: Points to Remember

The important topics covered in NCERT Class 12 Maths Chapter 7 are given below:

Properties of Indefinite Integral:
(i) ∫[f(x) + g(x)] dx = ∫f(x) dx + ∫g(x) dx
(ii) For any real number k, ∫k f(x) dx = k∫f(x)dx.
(iii) In general, if f₁, f₂,………, f_n are functions and k₁, k₂,…, k_n are real numbers, then ∫[k₁f₁(x) + k₂ f₂(x)+…+ k_nf_n(x)] dx = k₁ ∫f₁(x) dx + k₂ ∫ f₂(x) dx+…+ k_n ∫f_n(x) dx

The opposite of differentiation is the process of integration. The differential or derivative of a given function must be found in differential calculus, but in integral calculus, the function’s differential must be found.

Integrating is therefore a procedure that is the opposite of differentiating.

Then, these integrals are known as indefinite integrals or general integrals since f(x) dx = F(x) + C. C is aly chosen constant that can be changed to produce various anti-derivatives of the given function.

A function can have an infinite number of anti-derivatives or integrals, but its derivative is always unique.

FAQs

Q.1: Where can students download the Exercise 7.6 Class 12 Maths NCERT solutions?
Ans: Students can download the Exercise 7.6 Class 12 Maths NCERT Solutions from Embibe.

Q.2: Why should students refer to the NCERT Solutions for Class 12 Maths Chapter 7?
Ans: Referring to the NCERT Solutions for Class 12 Maths Chapter 7 can help to clarify the basics of Integral Calculus. It will also help students to prepare for competitive exams such as JEE, NEET and more.

Q.3: What can ex 7.6 Class 12 Maths teach students?
Ans: Ex 7.6 Class 12 Maths deals with Integration by Parts. Therefore, referring to the PDF will help students memorise the formulae and how to solve the problems.

Q.4: What does Class 12 Maths NCERT Chapter 7 Solutions deal with?
Ans: Class 12 Maths Chapter 7 NCERT Solutions deals with the following:
Integration
Geometric Integration
Integration by Parts
Integration by Substitution and more

Q.5: Can I download the NCERT Solutions Class 12 Maths for?
Ans: Yes. Students can download the NCERT Solutions Class 12 Maths Chapter 7 for from Embibe.

NCERT Solutions for Class 11 Biology Chapter 13 Photosynthesis in Higher Plants: NCERT Solutions are very important for exams. In this chapter, students will learn...

Last Modified 11-11-2024