CBSE NCERT Solutions for Class 12 Maths Chapter 7 Integrals: The 7th chapter of CBSE Class 12 Maths is Integrals. It is the first chapter of the Mathematics Part – II book. In this chapter, students will learn about Integration as an Inverse Process of Differentiation, Methods of Integration, Integrals of Some Particular Functions, etc. To understand the concepts easily and be able to solve the questions correctly, students are advised to practice the in-text questions from the CBSE NCERT Solutions for Class 12 Maths Chapter 7 Integrals.

We have provided the list of topics covered in the Class 12 Maths Chapter 7, which are important in order to score maximum marks in the questions asked from this chapter. The NCERT Solutions will help students learn how to simplify problems and derive the required answer. Continue reading to know more about the NCERT Solutions for Class 12 Maths Chapter 7.

NCERT Solutions for Class 12 Maths Chapter 7: Important Topics

Students need to pay attention during classroom studies to understand the topics thoroughly. They can take the help of Embibe videos for Maths Class 12 chapter 7 to understand the concepts easily. The visualisation technique will make learning fun and long-lasting.

Before getting into the details of NCERT solutions for Class 12 Maths Chapter 7 Integrals, let us have an overview of the list of topics included in this chapter:

Sr. No.	Topic Name
1	Integration by Parts
2	Definite Integral
3	Some Properties of Definite Integrals
4	Integration as an Inverse Process of Differentiation
5	Methods of Integration
6	Integration by Partial Fractions

Exercise-wise Solutions for Class 12 Maths Chapter 7

Students should practice all the solved illustrations, and practice questions available on Embibe, to develop a strong base in the topics. Below are details related to the NCERT Solutions for Class 12 Maths Chapter 7. Students can check the list of solutions to all the topics in chapter 7 by going through the given 11 exercises.

• Exercise 7.1
• Exercise 7.2
• Exercise 7.3
• Exercise 7.4
• Exercise 7.5
• Exercise 7.6
• Exercise 7.7
• Exercise 7.8
• Exercise 7.9
• Exercise 7.10
• Exercise 7.11

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

We have provided a few important points that are covered in NCERT Class 12 Maths Chapter 7 Integrals to help students in their exam preparations. Refer to the points below:

• Integration is the inverse process of differentiation. In differential calculus, we are given a function and we have to find the derivative or differential of this function, but in integral calculus, we are to find a function whose differential is given. Thus, integration is a process which is the inverse of differentiation.

• Fundamental Integration formulas:
  • ∫ xⁿdx = x⁽ⁿ⁺¹⁾/(n+1) + C , ∀n ≠ −1
  • ∫ x⁻¹dx = ∫ 1/x dx = log |x| + C
  • ∫ e^xdx = e^x + C
  • ∫ a^xdx = a^x/log a + C
  • ∫ logx dx = xlogx − x + C
• First fundamental Theorem of Integral Calculus:
  • Let f be a continuous function of x for a ≤ x ≤ b and A(x) = ∫^x_a f(x) dx, then A′(x) = f(x) for all x in [a, b] and A(a) = 0.
• Integration by parts: 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.

Students can get all the important points for NCERT Class 12 Maths Chapter 7 Integrals for free by visiting Embibe.

NCERT Solutions for Class 12 Maths: All Chapters

To help students prepare for the CBSE Class 12 Maths subject, we have provided direct links to the NCERT Solutions for CBSE Class 12 Maths below. Solve as many sample questions as they can for each chapter to fetch full marks in the board exam.

They can also take unlimited free mock tests for CBSE Class 12 Maths Chapter 7 on Embibe.

• 1st Chapter – Relations and Functions
• 2nd Chapter – Inverse Trigonometric Functions
• 3rd Chapter – Matrices
• 4th Chapter – Determinants
• 5th Chapter – Continuity and Differentiability
• 6th Chapter – Application of Derivatives
• 7th Chapter – Integrals
• 8th Chapter – Application of Integrals
• 9th Chapter – Differential Equations
• 10th Chapter – Vector Algebra
• 11th Chapter – Three Dimensional Geometry
• 12th Chapter – Linear Programming
• 13th Chapter – Probability

FAQs on CBSE NCERT Solutions for Class 12 Maths Chapter 7

Below are some of the most frequently asked questions on CBSE NCERT Solutions for Class 12 Maths Chapter 7:

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