NCERT Solutions for Class 12 Maths Chapter 7 Integrals (Ex 7.1) Exercise 7.1
NCERT Solutions for class 12 Maths Chapter 7 Exercise 7.1 is designed by experienced teachers from Vedantu to improve your mathematical and analytical skills. The solutions are crafted in simple steps to give you a better understanding of the topic. Reference notes are also given for you to understand the basic concept of the topic. You can download the pdf format of the solutions from the official website of Vedantu. If you still have conceptual doubts that you can reach out to the teams of teachers available on the website.
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.1 starts with the introduction of Integral. This chapter covers the two types of Integrals i.e. Definite Integral and Indefinite Integral. The connection between these two types of integral is called the fundamental theorem of Calculus. The other topics under this chapter are integration as an inverse process of differentiation, geometrical interpretation of indefinite integral, properties of indefinite integral and comparison between differentiation and integration. Below are some brief excerpts of the theory that will help you in solving the anti derivatives and integrals in Exercise 7.1.
List of Topics Covered Under NCERT Solutions for Class 12 Maths Chapter 7- Integrals
Introduction To Integration
Usually, the Integration is the inverse process of the differentiation. Here, we need to find the primitives using the derivative of the function. So, Integration is also known as anti-differentiation. A symbol represents Integration. ‘C’ represents the constant.
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The above image shows the difference between integration and differentiation in detail
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FAQs on NCERT Solutions for Class 12 Maths Chapter 7- Integrals Exercise 7.1
1. What is the difference between definite and indefinite integrals?
Definite Integral is used for finding the area bounded by a curve under certain conditions whereas indefinite integral is used to find a function if its derivative is known.
2. What are the two types of integral calculus?
The two types of integral calculus are definite integral and indefinite integral.
3. What do you mean by differential calculus?
Differential Calculus deals with the rate of change of some quantity like displacement, velocity, etc., which is also called finding the derivative of the quantity.
4. How does NCERT Solutions provided by Vedantu help to prepare for examinations?
NCERT Solutions designed by Vedantu will definitely improve your analytical and mathematical skills. The solutions are given in step wise as per the latest syllabus of CBSE board for you to get a better understanding of the solutions. There are enough practice worksheets which will help you with your revision. Solving the NCERT Solutions will boost your confidence level and thus prepare well for the exams.