JEE Exam > JEE Notes > Mathematics (Maths) Class 12 > NCERT Solutions Exercise- 7.2: Integrals
NCERT Solutions Class 12 Maths Chapter 7 - Integrals
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1 N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 2 I n t e g r a t e t h e f u n c t i o n s i n E x e r c i s e 1 t o 8 . 1 . A n s . P u t t i n g = = 2 . A n s . P u t t i n g Page 2 N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 2 I n t e g r a t e t h e f u n c t i o n s i n E x e r c i s e 1 t o 8 . 1 . A n s . P u t t i n g = = 2 . A n s . P u t t i n g 2 / 2 9 = = = 3 . A n s . P u t t i n g = = = Page 3 N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 2 I n t e g r a t e t h e f u n c t i o n s i n E x e r c i s e 1 t o 8 . 1 . A n s . P u t t i n g = = 2 . A n s . P u t t i n g 2 / 2 9 = = = 3 . A n s . P u t t i n g = = = 3 / 2 9 4 . A n s . P u t t i n g = = = = = 5 . A n s . = = = = [ b e c a u s e ] = Page 4 N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 2 I n t e g r a t e t h e f u n c t i o n s i n E x e r c i s e 1 t o 8 . 1 . A n s . P u t t i n g = = 2 . A n s . P u t t i n g 2 / 2 9 = = = 3 . A n s . P u t t i n g = = = 3 / 2 9 4 . A n s . P u t t i n g = = = = = 5 . A n s . = = = = [ b e c a u s e ] = 6 . A n s . = U s i n g W e h a v e = = 7 . A n s . = = = = U s i n g Page 5 N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 2 I n t e g r a t e t h e f u n c t i o n s i n E x e r c i s e 1 t o 8 . 1 . A n s . P u t t i n g = = 2 . A n s . P u t t i n g 2 / 2 9 = = = 3 . A n s . P u t t i n g = = = 3 / 2 9 4 . A n s . P u t t i n g = = = = = 5 . A n s . = = = = [ b e c a u s e ] = 6 . A n s . = U s i n g W e h a v e = = 7 . A n s . = = = = U s i n g 5 / 2 9 = = 8 . A n s . L e t I = = … … … . ( i ) P u t t i n g F r o m e q . ( i ) , I = = = =Read More
|
204 videos|290 docs|139 tests
|
FAQs on NCERT Solutions Class 12 Maths Chapter 7 - Integrals
| 1. What are integrals and how are they used in mathematics? |  |
Ans. Integrals are mathematical tools used to calculate the area under curves or to find the accumulation of quantities over a given interval. They are widely used in various fields of mathematics and physics, such as finding the area of irregular shapes, calculating the displacement of an object, or determining the probability distribution of a random variable.
| 2. What is the difference between indefinite and definite integrals? | |
Ans. An indefinite integral represents a family of functions that differ only by a constant, whereas a definite integral gives a specific numerical value. In other words, an indefinite integral does not have upper and lower limits, while a definite integral is evaluated over a specific interval.
| 3. How can we find the integral of a function? | |
Ans. To find the integral of a function, we can use various techniques such as the power rule, substitution method, integration by parts, or trigonometric substitutions. The choice of method depends on the complexity of the function and the available tools.
| 4. What are the applications of integrals in real life? | |
Ans. Integrals have numerous applications in real-life situations. They are used in physics to calculate the work done in moving an object, in economics to determine the total revenue or cost functions, in engineering to find the center of mass of an object, and in biology to model population growth, among many other applications.
| 5. Is there any relationship between derivatives and integrals? | |
Ans. Yes, derivatives and integrals are closely related. The derivative of a function represents its rate of change, while the integral represents the accumulation of the function over a given interval. The Fundamental Theorem of Calculus states that differentiation and integration are inverse processes, meaning that taking the derivative of an integral gives back the original function.
Related Exams
About this Document
|
4K Views |
|
4.76/5 Rating |
|
Dec 22, 2024 Last updated |
Document Description: NCERT Solutions Exercise- 7.2: Integrals for JEE 2024 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for NCERT Solutions Exercise- 7.2: Integrals have been prepared according to the JEE exam syllabus. Information about NCERT Solutions Exercise- 7.2: Integrals covers topics
like and NCERT Solutions Exercise- 7.2: Integrals Example, for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for NCERT Solutions Exercise- 7.2: Integrals.
Introduction of NCERT Solutions Exercise- 7.2: Integrals in English is available as part of our Mathematics (Maths) Class 12
for JEE & NCERT Solutions Exercise- 7.2: Integrals in Hindi for Mathematics (Maths) Class 12 course.
Download more important topics related with notes, lectures and mock test series for JEE
Exam by signing up for free. JEE: NCERT Solutions Class 12 Maths Chapter 7 - Integrals
Description
Full syllabus notes, lecture & questions for NCERT Solutions Class 12 Maths Chapter 7 - Integrals - JEE | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 12 | Best notes, free PDF download
Information about NCERT Solutions Exercise- 7.2: Integrals
In this doc you can find the meaning of NCERT Solutions Exercise- 7.2: Integrals defined & explained in the simplest way possible. Besides explaining types of
NCERT Solutions Exercise- 7.2: Integrals theory, EduRev gives you an ample number of questions to practice NCERT Solutions Exercise- 7.2: Integrals tests, examples and also practice JEE
tests
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Objective type Questions
,Exam
,shortcuts and tricks
,ppt
,Sample Paper
,NCERT Solutions Class 12 Maths Chapter 7 - Integrals
,Viva Questions
,past year papers
,Free
,NCERT Solutions Class 12 Maths Chapter 7 - Integrals
,Extra Questions
,MCQs
,NCERT Solutions Class 12 Maths Chapter 7 - Integrals
,Previous Year Questions with Solutions
,Semester Notes
,video lectures
,Summary
,study material
,mock tests for examination
,Important questions
,practice quizzes
;
Additional Information about NCERT Solutions Exercise- 7.2: Integrals for JEE Preparation
NCERT Solutions Exercise- 7.2: Integrals Free PDF Download
The NCERT Solutions Exercise- 7.2: Integrals is an invaluable resource that delves deep into the core of the JEE exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the NCERT Solutions Exercise- 7.2: Integrals now and kickstart your journey towards success in the JEE exam.
Importance of NCERT Solutions Exercise- 7.2: Integrals
The importance of NCERT Solutions Exercise- 7.2: Integrals cannot be overstated, especially for JEE aspirants.
This document holds the key to success in the JEE exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
NCERT Solutions Exercise- 7.2: Integrals Notes
NCERT Solutions Exercise- 7.2: Integrals Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to NCERT Solutions Exercise- 7.2: Integrals.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, NCERT Solutions Exercise- 7.2: Integrals Notes on EduRev are your ultimate resource for success.
NCERT Solutions Exercise- 7.2: Integrals JEE Questions
The "NCERT Solutions Exercise- 7.2: Integrals JEE Questions" guide is a valuable resource for all aspiring students preparing for the
JEE exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study NCERT Solutions Exercise- 7.2: Integrals on the App
Students of JEE can study NCERT Solutions Exercise- 7.2: Integrals alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the NCERT Solutions Exercise- 7.2: Integrals,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of NCERT Solutions Exercise- 7.2: Integrals is prepared as per the latest JEE syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup