All Courses
Get the App Signup / Login
Sign in Open App
JEE Exam  >  JEE Notes  >  Mathematics (Maths) for JEE Main & Advanced  >  NCERT Solutions Exercise- 7.8: 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


1 	 / 	 1 7
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 8 .
E v a l u a t e 	 t h e 	 d e f i n i t e 	 i n t e g r a l s 	 i n 	 E x e r c i s e s 	 1 	 t o 	 1 1 .
1 . 	 	
A n s . 	
= 	
= 	
= 	
= 	
= 2 	 A n s .
2 . 	
A n s . 	
Page 2


1 	 / 	 1 7
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 8 .
E v a l u a t e 	 t h e 	 d e f i n i t e 	 i n t e g r a l s 	 i n 	 E x e r c i s e s 	 1 	 t o 	 1 1 .
1 . 	 	
A n s . 	
= 	
= 	
= 	
= 	
= 2 	 A n s .
2 . 	
A n s . 	
2 	 / 	 1 7
= 	
= 	 	
= 	
= 	 	 A n s .
3 . 	 	
A n s . 	
= 	
= 	
= 	
= 	 	
= 	
= 	
= 	 	
Page 3


1 	 / 	 1 7
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 8 .
E v a l u a t e 	 t h e 	 d e f i n i t e 	 i n t e g r a l s 	 i n 	 E x e r c i s e s 	 1 	 t o 	 1 1 .
1 . 	 	
A n s . 	
= 	
= 	
= 	
= 	
= 2 	 A n s .
2 . 	
A n s . 	
2 	 / 	 1 7
= 	
= 	 	
= 	
= 	 	 A n s .
3 . 	 	
A n s . 	
= 	
= 	
= 	
= 	 	
= 	
= 	
= 	 	
3 	 / 	 1 7
= 	 	
= 	 	 A n s .
4 . 	
A n s . 	
= 	
= 	 	
= 	
= 	 	
= 	 	 A n s .
5 . 	
Page 4


1 	 / 	 1 7
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 8 .
E v a l u a t e 	 t h e 	 d e f i n i t e 	 i n t e g r a l s 	 i n 	 E x e r c i s e s 	 1 	 t o 	 1 1 .
1 . 	 	
A n s . 	
= 	
= 	
= 	
= 	
= 2 	 A n s .
2 . 	
A n s . 	
2 	 / 	 1 7
= 	
= 	 	
= 	
= 	 	 A n s .
3 . 	 	
A n s . 	
= 	
= 	
= 	
= 	 	
= 	
= 	
= 	 	
3 	 / 	 1 7
= 	 	
= 	 	 A n s .
4 . 	
A n s . 	
= 	
= 	 	
= 	
= 	 	
= 	 	 A n s .
5 . 	
4 	 / 	 1 7
A n s . 	 	
= 	 	
= 	 	
= 	
= 	 0 	 A n s .
6 . 	 	 	
A n s . 	 	
= 	
= 	
= 	 	 A n s .
7 . 	
A n s . 	
Page 5


1 	 / 	 1 7
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 8 .
E v a l u a t e 	 t h e 	 d e f i n i t e 	 i n t e g r a l s 	 i n 	 E x e r c i s e s 	 1 	 t o 	 1 1 .
1 . 	 	
A n s . 	
= 	
= 	
= 	
= 	
= 2 	 A n s .
2 . 	
A n s . 	
2 	 / 	 1 7
= 	
= 	 	
= 	
= 	 	 A n s .
3 . 	 	
A n s . 	
= 	
= 	
= 	
= 	 	
= 	
= 	
= 	 	
3 	 / 	 1 7
= 	 	
= 	 	 A n s .
4 . 	
A n s . 	
= 	
= 	 	
= 	
= 	 	
= 	 	 A n s .
5 . 	
4 	 / 	 1 7
A n s . 	 	
= 	 	
= 	 	
= 	
= 	 0 	 A n s .
6 . 	 	 	
A n s . 	 	
= 	
= 	
= 	 	 A n s .
7 . 	
A n s . 	
5 	 / 	 1 7
= 	
= 	
= 	 	
= 	
= 	
= 	 	 A n s .
8 . 	
A n s . 	
= 	
= 	 	
= 	
=
Read More
209 videos|443 docs|143 tests
Join Course for Free

Top Courses for JEE

FAQs on NCERT Solutions Class 12 Maths Chapter 7 - Integrals

1. What are integrals?
Ans. Integrals are mathematical tools used to calculate the area under a curve or to find the accumulated change in a quantity over an interval. They are an important concept in calculus and are used in various fields of science and engineering.
2. How do you solve integrals?
Ans. Integrals can be solved using different techniques, depending on the function being integrated. Some common methods include using basic integration rules, such as the power rule or the substitution method. For more complex functions, techniques like integration by parts or trigonometric substitutions may be used.
3. What is the purpose of finding integrals?
Ans. The purpose of finding integrals is to calculate quantities such as displacement, area, volume, or accumulated change. Integrals are used in various real-world applications, such as calculating the area under a sales curve, determining the velocity from an acceleration function, or finding the volume of an irregular-shaped object.
4. Can integrals be negative?
Ans. Yes, integrals can be negative. The sign of an integral depends on the function being integrated and the limits of integration. If the function lies below the x-axis within the given interval, the integral will be negative, indicating a "net loss" or "net decrease" in the quantity being measured.
5. What is the difference between definite and indefinite integrals?
Ans. The main difference between definite and indefinite integrals is the presence or absence of limits of integration. Definite integrals have specific limits that define the interval over which the integration is performed, and they result in a single numeric value. On the other hand, indefinite integrals do not have limits and represent a general antiderivative of a function, allowing for a family of functions as solutions.
Related Exams
About this Document
2.3K Views
4.63/5 Rating
Oct 26, 2024 Last updated
Document Description: NCERT Solutions Exercise- 7.8: Integrals for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The notes and questions for NCERT Solutions Exercise- 7.8: Integrals have been prepared according to the JEE exam syllabus. Information about NCERT Solutions Exercise- 7.8: Integrals covers topics like and NCERT Solutions Exercise- 7.8: Integrals Example, for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for NCERT Solutions Exercise- 7.8: Integrals.
Introduction of NCERT Solutions Exercise- 7.8: Integrals in English is available as part of our Mathematics (Maths) for JEE Main & Advanced for JEE & NCERT Solutions Exercise- 7.8: Integrals in Hindi for Mathematics (Maths) for JEE Main & Advanced 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) for JEE Main & Advanced | Best notes, free PDF download
Information about NCERT Solutions Exercise- 7.8: Integrals
In this doc you can find the meaning of NCERT Solutions Exercise- 7.8: Integrals defined & explained in the simplest way possible. Besides explaining types of NCERT Solutions Exercise- 7.8: Integrals theory, EduRev gives you an ample number of questions to practice NCERT Solutions Exercise- 7.8: Integrals tests, examples and also practice JEE tests
209 videos|443 docs|143 tests
Join Course for Free
Download as PDF
Explore Courses for JEE exam

Top Courses for JEE

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

NCERT Solutions Class 12 Maths Chapter 7 - Integrals

,

Sample Paper

,

Free

,

practice quizzes

,

Previous Year Questions with Solutions

,

NCERT Solutions Class 12 Maths Chapter 7 - Integrals

,

Viva Questions

,

Objective type Questions

,

study material

,

shortcuts and tricks

,

ppt

,

pdf

,

NCERT Solutions Class 12 Maths Chapter 7 - Integrals

,

Summary

,

Semester Notes

,

mock tests for examination

,

MCQs

,

Important questions

,

past year papers

,

Extra Questions

,

Exam

,

video lectures

;
Additional Information about NCERT Solutions Exercise- 7.8: Integrals for JEE Preparation

NCERT Solutions Exercise- 7.8: Integrals Free PDF Download

The NCERT Solutions Exercise- 7.8: 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- 7.8: Integrals now and kickstart your journey towards success in the JEE exam.

Importance of NCERT Solutions Exercise- 7.8: Integrals

The importance of NCERT Solutions Exercise- 7.8: 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- 7.8: Integrals Notes

NCERT Solutions Exercise- 7.8: 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- 7.8: 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- 7.8: Integrals Notes on EduRev are your ultimate resource for success.

NCERT Solutions Exercise- 7.8: Integrals JEE Questions

The "NCERT Solutions Exercise- 7.8: 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- 7.8: Integrals on the App

Students of JEE can study NCERT Solutions Exercise- 7.8: Integrals alongwith tests & analysis from the EduRev app, which will help them while preparing for their exam. Apart from the NCERT Solutions Exercise- 7.8: 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- 7.8: Integrals is prepared as per the latest JEE syllabus.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup