• Written By simran
  • Last Modified 24-01-2023

NCERT Solutions for Class 12 Maths Exercise 7.6 Integrals

img-icon

NCERT Solutions for Class 12 Maths Exercise 7.6 Integrals: NCERT solutions Exercise 7.6 Class 12 Maths deals with the chapter Integrals. Referring to these exercises can be extremely helpful for the students to prepare for the exams. It also helps to get a better and advanced understanding of Integrals. 

The Maths NCERT solutions Class 12 Chapter 7 deals with Integration by Parts. The students must refer to the PDF for Ex 7.6 Class 12 to ensure that they can score higher marks. Since it is a crucial chapter for the syllabus, the students must practice the questions on a regular basis. For all the details students can check the study materials and products available in the official website.

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 NameTopic NameTopic Name
Integration as an Inverse Process of DifferentiationComparison Between Differentiation and IntegrationIntegration Using Trigonometric Identities
Geometrical Interpretation of Indefinite IntegralMethods of IntegrationIntegrals of Some Particular Functions
Some Properties of Indefinite IntegralIntegration by SubstitutionIntegration 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,………, fn are functions and k1, k2,…, kn are real numbers, then ∫[k1f1(x) + k2 f2(x)+…+ knfn(x)] dx = k1 ∫f1(x) dx + k2 ∫ f2(x) dx+…+ kn ∫fn(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.

NCERT Solutions for Class 12 Maths: All Chapters

Students can go through the list below to get NCERT Solutions for all chapters of Class 12 Maths:

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. 

Unleash Your True Potential With Personalised Learning on EMBIBE