NCERT Solutions for Class 12 Maths Exercise 7.9 Integrals

NCERT Solutions for Class 12 Maths Exercise 7.9 Integrals: NCERT Exercise 7.9 Class 12 Maths Solutions deals with the chapter ‘Integrals’. Embibe’s NCERT Solutions for Class 12 Maths Chapter 7 contains step-by-step answers for every question. Moreover, Class 12 Maths Exercise 7.9 explains the fundamental theorem of Calculus. These theorems allow using anti-derivatives to evaluate definite integrals.

Students will learn about the first and second fundamental theorem of integral calculus. The NCERT Solutions for Class 12 Maths Exercise 7.9 are explained clearly to students by Embibe. Moreover, Embibe also provides 500+ practice questions based on the chapter to enhance students’ knowledge. Embibe’s solutions will assist students in understanding how to solve the questions. Scroll down to learn more.

NCERT Solutions for Class 12 Maths Exercise 7.9: Important Topics

CBSE students must practice the NCERT Class 12 Maths book to score well in the board examination. Students can practice Integrals for their exams on Embibe to score well. Also, students must follow Embibe to boost their exam preparations. Embibe helps student understand the complex concepts easily.

Students preparing for the exams can watch the 3D and Explainer videos on Embibe to understand the chapter. These videos are helpful while preparing for the final exams. Furthermore, all the study materials on Embibe are available for. Students can read books on Embibe, watch videos, and understand all the chapter for. Embibe has some of the best content on its AI assisted platform.

The important topics from Class 12 Maths Exercise 7.9 are as follows:

Sr. No.	Topic Name
1.	Integrals
2.	Evaluation of Definite Integrals by Substitution
3.	Some Properties of Definite Integrals

NCERT Solutions for Class 12 Maths Exercise 7.9: Points to Remember

Below are the points to remember for Class 12 Maths Exercise 7.9 for a quick revision:

Integration is the opposite of differentiation.
A function’s derivative is unique, but it can have an infinite number of anti-derivatives or integrals.
The first fundamental theorem of integral calculus states that if ‘f’ is a continuous function on the closed interval [a, b] and A (x) is the area function, then, for all x ∈ [a, b], A′(x) = f (x). According to the second fundamental theorem of integral calculus, if F is the antiderivative of a function f(x), then ∫_a^b f(x) dx = F(b) – F(a) = value of the anti-derivative.
Important identities from the chapter as as follows:
- 2 sin A . cos B = sin( A + B) + sin( A – B)
- 2 cos A . sin B = sin( A + B) – sin( A – B)
Keep in mind that ILATE is not a rule because the above method cannot be used to solve all questions of part integration.
It is worth noting that integration by parts is not always applicable to the product of functions.
2 cos A . sin B = sin( A + B) – sin( A – B) is also an important identity.