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NCERT Solutions for Class 12 Maths Exercise 7.2 Integrals

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NCERT Solutions for Class 12 Maths Exercise 7.2 Integrals: Chapter 7 in CBSE Class 12, Integrals, is an important and challenging chapter. Embibe’s subject experts prepare NCERT Class 12 Exercise 7.2 Maths solutions given in this article. Students can refer to these solutions for exam practice.

NCERT Chapter 7 Class 12 Exercise 7.2 provides questions that require high-order thinking. This exercise of Integrals deals with topics like integration by substitution, integration using partial functions, integration by parts and so on, which are very important for competitive exams. Moreover, students can also visit Embibe to practice over 6000 questions from 41 books for exam preparation. Read on to get NCERT Solutions for 12th Maths Exercise 7.2.

NCERT Solutions for Class 12 Maths Exercise 7.2: Important Topics

Chapter 7 of NCERT Class 12 Maths deals with Integral Calculus. In Calculus, Differential Calculus is fixated on the idea of the derivative. The first inspiration for the derivative was the issue of characterising digression or the tangent lines to the charts of functions and working out the slope of such lines. Integral Calculus is propelled by the issue of characterising and working out the region limited by the diagram of the functions.

In this article, we have provided NCERT solutions for in-text exercise 7.2 of 12th Maths Integrals. Exercise 7.2 is one of the most important exercises in this chapter and it focuses on the concept of Methods of Integration.

Students must go through each of these topic-based questions to comprehend these ideas and score good marks. Students can also get access to interactive 3D conceptual videos on Embibe that adopt a fun learning approach and help students learn all topics.

The important topics that are covered in NCERT Class 12 Maths Chapter 7 Integrals are:

Sr. No.Topic Name
7.1Integration as an Inverse Process of Differentiation
7.2Methods of Integration
7.3Integration by Partial Fractions
7.4Integration by Parts
7.5Definite Integration
7.6Some Properties of Definite Integrals

NCERT Solutions for Class 12 Maths Exercise 7.2: Points to Remember

To help guide students in their exam preparations for NCERT Solutions for Class 12 Maths Chapter 7 Integrals Exercise 7.2, we have provided some of the important points to remember below:

  • Fundamental Integration formulas:
    • ∫ xndx = x(n+1)/(n+1) + C , ∀n ≠ −1
    • ∫ x−1dx = ∫ 1/x dx = log |x| + C
    • ∫ exdx = ex + C
    • ∫ axdx = ax/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) = ∫xa f(x) dx, then A′(x) = f(x) for all x in [a, b] and A(a) = 0.

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

NCERT Solutions for Class 12 Maths: All Chapters

Students can get NCERT Solutions for all chapters of Class 12 Maths below:

FAQs

Q.1. Where can I download the NCERT Solutions for Ex 7.2 Class 12 Maths?

Ans: All the exercises of Chapter 7 Maths Class 12 can be downloaded from Embibe. Embibe provides accurate answer key for each exercise designed by the subject experts.

Q.2. What are the important topics under Integrals?

Ans: The important topics covered in NCERT Class 12 Maths Chapter 7 Integrals are Integration as an Inverse Process of Differentiation, Methods of Integration, Integration by Partial Fractions, Integration by Parts, Definite Integration, and Some Properties of Definite Integrals.

Q.3. Where can I get study materials for NCERT Class 12 Maths?

Ans: Students can visit Embibe to get study materials for 12th Maths including interactive 3D videos for all topics, sample questions, and mock tests.

Q.4. What are the minimum marks required to pass the CBSE Class 12 exams? 

Ans: Students must secure at least 33% marks to pass the CBSE Class 12 exams.

Q.5. Where can I download NCERT Solutions for all chapters of Class 12 Maths?

Ans: Students can download chapter-wise NCERT Solutions for Class 12 Maths from the links provided above in this article.

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