In NCERT Class 12 Mathematics Chapter 7, "Integrals," students learn about the concept of integration, its properties, methods of integration, and its real-world applications. This chapter explores both indefinite and definite integrals, as well as techniques such as substitution, integration by parts, and partial fractions. The concepts of area under curves and the application of integration in finding the volume of solids are also covered in detail. This chapter forms the basis for many advanced topics in calculus.
This article provides a comprehensive resource for exam preparation. It includes sample MCQs and subjective questions for CBSE and CUET, alongside downloadable PDFs of Class 12 Mathematics Chapter 7 MCQs and previous year questions for detailed practice of NCERT Class 12 Integrals.
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NCERT Class 12 Mathematics Chapters
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Class 12 Mathematics Chapter 7: Integrals MCQs
This question bank includes previous years' CUET and CBSE MCQs, along with questions curated by subject experts. Below are 5 sample multiple-choice questions (MCQs) for Class 12 Mathematics Chapter 7: Integrals. For the full set of 50 questions, download the PDF using the link provided below.
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 dx is equal to (a) 2 x+2 + C (b) 2 x+2 log 2 + C (c)  (d)  |
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 dx is equal to : (a)  (b)  (c) 5x 4 + C (d) 6x 5 + C |
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 dx is equal to : (a)  (b)  (c)  (d)  |
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The primitive of  is (a) sec2 x + c (b) 2 sec2 x tan x + c (c) tan x + c (d) - cot x + c
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Anti-derivative of  with respect to 𝑥 is: (a)  (b) -  (c) log  (d) -log  |
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Class 12 Mathematics Chapter 7: Integrals Subjective Questions Without Solutions
This question bank includes previous years' CBSE subjective questions (2 marks and above) without solutions, along with expert-curated questions. Below are 5 sample subjective questions for Class 12 Mathematics Chapter 7: Integrals. To access all questions, download the PDF from the link provided below.
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Find:  (CBSE 2022, 2M)
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Find:  (CBSE 2022, 2M)
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Find:  (CBSE 2020, 2M)
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Find:  (CBSE 2019, 2M)
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Find:  (CBSE 2019, 2M)
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NCERT Class 12 Mathematics Chapter 7 Sub Topics
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Chapter Name
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Sub Topics
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Chapter 7: Integrals
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7.1 Introduction to Integration
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7.2 Indefinite Integrals
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7.3 Definite Integrals
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7.4 Methods of Integration
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7.5 Integration by Substitution
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7.6 Integration by Parts
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7.7 Integration Using Partial Fractions
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7.8 Application of Integrals
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Review of NCERT Class 12 Mathematics Chapter 7: Integrals
NCERT Class 12 Mathematics Chapter 7, "Integrals," provides an essential understanding of integration, a key concept in calculus. It covers integration techniques, properties, and applications, such as calculating areas under curves and volumes of solids. Mastery of integrals is crucial for solving advanced calculus problems, particularly in real-world contexts like physics and engineering. The chapter also prepares students for competitive exams like CBSE and CUET.
By practicing the sample MCQs and subjective questions in this article, students can enhance their understanding and excel in exams.
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