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March 26, 2025
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NCERT Solutions for Class 12 Maths Chapter 7.1 Integrals
NCERT Solutions for Class 12 Maths Chapter 7.1 Integrals: Exercise 7.1 of Class 12 Maths discusses Introduction to Integrals. Students aiming to achieve the best results in the Class 12 Maths final exam should practice all the NCERT solutions for Exercise 7.1 of Class 12 Maths. They can use the step-wise solutions in this chapter as a reference if they find some questions difficult to answer or if they wish to double-check whether they gave accurate answers.
CBSE Class 12 Maths 7 as whole talks about the Introduction to Integrals, Integration as an Inverse Process of Differentiation, Methods of Integration, Integrals of Some Particular Functions, Integration by Partial Fractions, Integration by Parts, Definite Integrals, Fundamental Theorem of Calculus, Evaluation of Definite Integrals by Substitution and Some Properties of Definite Integrals. Embibe delivers 400+ practice questions for all the sub-topics included in Chapter 7. Keep reading to access the NCERT solutions for Class 12 Maths Exercise 7.1.
NCERT Solutions for Class 12 Maths Chapter 7: Important Topics
The Integrals chapter is interesting and easy to understand if students go through the video lessons offered by Embibe. To make problem-solving easy, students must practice as many questions as possible. Students must go through the step-wise solutions for each question to decode and understand how they have been solved. Practising the solutions from Embibe helps students to score good marks in the exam effortlessly.
There are a total of 22 questions in Exercise 7.1 of Class 12 Maths. All the solutions provided by Embibe are to access and are framed considering the latest syllabus. Students can access NCERT 3D Videos, NCERT Exemplars, Embibe Explainers, etc., for at Embibe.
Below-mentioned is the list of important topics included in CBSE Class 12 Maths Chapter 7:
| S.No | Topic Name |
| 7.1 | Introduction to Integrals |
| 7.2 | Integration as an Inverse Process of Differentiation |
| 7.3 | Methods of Integration |
| 7.4 | Integrals of some Particular Functions |
| 7.5 | Integration by Partial Fractions |
| 7.6 | Integration by Parts |
| 7.7 | Definite Integral |
| 7.8 | Fundamental Theorem of Calculus |
| 7.9 | Evaluation of Definite Integrals by Substitution |
| 7.10 | Some Properties of Definite Integrals |
NCERT Solutions for Class 12 Maths Chapter 7: Points to Remember
Let us now have a look at the list of important topics covered in the 7.1 exercise Introduction to Integrals before diving into the NCERT solutions.
- There are two parts to Calculus which are Differential Calculus and Integral Calculus.
- Differential Calculus: It deals with identifying or deriving the rate of change of some quantity such as displacement, velocity etc.
- Integral Calculus: It deals with identifying or deriving the quantity when the rate of change of the quantity is known,
- The integral of a function is also known as the anti-derivative of the function because integration is the opposite process of differentiation.
- There are two types of Integral Calculus which are Indefinite and Definite Integral.
- If the derivate of a function is known, we can use Indefinite Integral to find the function of its derivative.
- By using Definite Integral, we can find the area bounded by a curve under certain conditions.
- We can find the derivative at a point in the case of differentiation, whereas in integration, we integrate over an interval in which the integral is defined.
- Differentiation and Integration operations satisfy the property of linearity, and both involve limits.
- We can find the velocity of a moving particle when we know the displacement in time using a derivative. We can find displacement in time when we know the velocity using Integration.
NCERT Solutions for Class 12 Maths: All Chapters
Students can find the NCERT Class 12 Maths Solutions for all chapters as provided below:
- Chapter 1: Relations and Functions
- Chapter 2: Inverse Trigonometric Functions
- Chapter 3: Matrices
- Chapter 4: Determinants
- Chapter 5: Continuity and Differentiability
- Chapter 6: Applications of Derivatives
- Chapter 7: Integrals
- Chapter 8: Application of Integrals
- Chapter 9: Differential Equations
- Chapter 10: Vector Algebra
- Chapter 11: Three Dimensional Geometry
- Chapter 12: Linear Programming
- Chapter 13: Probability
FAQs on NCERT Solutions for Class 12 Maths Chapter 7.1
Students can check some frequently asked questions related to NCERT solutions for Class 12 Maths Chapter 7.1 below:
Q: How many questions are there in CBSE Class 12 Maths Chapter 7 Exercise 7.1?
Ans: There are a total of 22 questions in CBSE Class 12 Maths Chapter 7 Exercise 7.1.
Q: Are NCERT books sufficient to pass Class 12 exams?
Ans: NCERT books and NCERT solutions for Class 12 are sufficient for the board exam, according to CBSE standards, although students can still practise from other reference books to broaden their comprehension.
Q: How can Chapter 7 Class 12 NCERT Solutions help me improve my grades?
Ans: All of the specifics are presented in a simple and step-by-step manner in the NCERT solutions. As a result, you will have no trouble understanding the issues. You can swiftly revise the syllabus with the help of these solutions. They are accessible offline and online, allowing you to use them whenever you wish.
Q: Which NCERT Solutions app is the best for Integrals Exercise?
Ans: Embibe’s app is the greatest app for NCERT Solutions since it gives students access to all chapter-by-chapter and term-by-term study materials they need to ace their NCERT examinations.
Q: How can I get the CBSE Class 12 Maths Chapter 9 Solutions?
Ans: Embibe provides CBSE Class 12 Maths Chapter 9 Solutions/Differential Equations NCERT Solutions for.
We hope this detailed article on NCERT solutions for Class 12 Maths Chapter 7.1 helps you prepare for the Maths exam in the best way possible. For more updates on Class 12 Maths exams, Stay tuned to Embibe.
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