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Important Questions for Class 12 Maths Chapter 7- Integrals

JEE Mains & Advanced

In order to help students in their board exams to score excellent marks, our expert faculty of mathematics have developed class 12th maths important questions for chapter 7 Integrals. CBSE class 12th maths important questions for Integrals contain the concepts of integrals. It is an important chapter from the exam point of view. Students will learn all the vital concepts of integrals and their properties by solving important questions of integrals. This chapter is not only important for the board exams but also essential for other competitive exams. The concept of integration is provided in easy to understand and precise language that will help you to solve each question asked in class 12 board exams. 

Integration important questions for class 12 are provided here as per the latest guideline of CBSE. To avoid making mistakes in class 12 board exams, you must practice integration questions for class 12. By practicing these class 12th maths important questions, you will be able to clear all your doubts related to integration and get a thorough knowledge of concepts. Subject experts of eSaral have also made available these important questions in PDF form to help you to prepare for exams. You can download the PDF for free from eSaral and practice integrals questions easily to achieve good marks in class 12 board examination.

Important Topics & Sub-topics of Integrals Class 12 Maths

Chapter 7 Integrals is about studying definite and indefinite integrals and their primary properties. As this chapter takes the highest weightage in the unit calculus, you must comprehend the topics and sub-topics of integrals and practice important questions to get full marks in the chapter integrals. Check out the topics and sub-topics mentioned in chapter 7 Integrals which have been provided by experts of eSaral in a tabular format.

Topics

Sub-topics

Introduction

 

Integration as an Inverse Process of Differentiation

  • Some properties of indefinite integral

Methods of Integration

  • Integration by substitution

  • Integration using trigonometric identities

Integrals of Some Particular Functions

 

Integration by Partial Fractions 

 

Integration by Parts

  • Integral of the type

  • Integrals of some more types

Definite Integral

 

Fundamental Theorem of Calculus

  • Area function

  • First fundamental theorem of integral calculus - theorem 1

  • Second fundamental theorem of integral calculus - Theorem 2

Evaluation of Definite Integrals by Substitution

 

Some Properties of Definite Integrals 

 

Class 12 Maths Chapter 7 Integrals Weightage

To score full marks in subject maths, it is necessary for you to understand the weightage criteria for each chapter. Students must be well known about the marking scheme for each topic and question asked in board question papers before attempting the final exam. In class 12 maths exam, unit calculus carries the highest weightage. Chapter 7 Integrals is the part of this unit which has almost 9 marks weightage to the complete unit of calculus. It is important for you to be familiar with the marks distribution and weightage for the topics of integrals that tells you which topic to focus more to achieve excellent marks in CBSE class 12 board exams. 

For better preparation for the board exams, you should practice all the questions provided in exercises of chapter 7 and solve examples given before each exercise to get a deep comprehension of integrations and its properties. Additionally, You can also practice class 12th maths integration important questions developed by the expert team of mathematics at eSaral. This will help you to revise all the significant topics of integrals before the final exam.  

Tips to Solve Class 12 Maths Chapter 7 Integrals

CBSE class 12 maths chapter 7 integrals is one of the important chapters in calculus. It covers some essential topics and properties which must be comprehended to solve questions asked in board exams. Here, eSaral’s subject experts of maths have come up with useful tips that will help you to understand these topics so that you can solve questions related to integrals without any confusion. 

  1. CBSE class 12th maths chapter 7 covers essential concepts to understand the derivation properties and formulas that you must learn to solve questions related to integration and avoid errors.

  2. Students are also advised to make a formula chart so that you can revise them quickly before exams.

  3.  There are some important theorems associated with integration that have to be learnt and applied by you while practicing questions so that you can not get confused in the final exam. 

  4. Practice class 12th maths important questions related to integrals that will help you to revise all the important concepts in the last minute of examination.

Benefits of Solving Class 12 Maths Chapter 7 Important Questions with Answers

For class 12 maths students, it is essential to revise the syllabus not for once but for 2 to 3 times to be well versed with all the key concepts and topics. In order to prepare for board exams, you can also practice class 12th maths important questions provided by the experienced faculty of mathematics at eSaral which are developed by analyzing the whole syllabus and previous year question papers. By practicing these integration important questions, you will get a lot of benefits. Check below some helpful benefits provided by eSaral.

  1. You will be able to solve the difficult questions in board exams by practicing class 12th maths important questions of integrals developed by an expert team of mathematics.

  2. By solving class 12 maths chapter 7 important questions and answers, Students can quickly revise all the highlighted concepts and formulas that are pivotal for the exam's point of view.

  3. Integrals questions help you to prepare at the last minute of exams that boost your self-confidence.

  4. These class 12th maths important questions provide you questions based on important topics, theorems and properties. By solving these important questions frequently, you will learn to manage your time in final examinations that will help you to solve the board question paper on time. 

Frequently Asked Questions

Answer 1. Yes, chapter 7 Integrals is an important chapter for board exams as it carries the highest weightage in calculus. Students must practice this chapter primary and first before they start preparing for board exams. This chapter contains some significant topics and sub-topics related to definite and indefinite integration so you must make proper strategy and plan to acquire all the important concepts of this chapter. Additionally, you can solve class 12th integration important questions provided on eSaral to score good marks in examinations.

Answer 2. There are three methods explain in chapter 7 Integrals which are as follows:

1. Integration by Substitution 

2. Integration using Partial Fractions 

3. Integration by Parts

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