Mathematics Exam > Mathematics Videos > Mathematics for IIT JAM, GATE, CSIR NET, UGC NET > Improper Integrals: Convergence
Improper Integrals: Convergence Video Lecture | Mathematics for IIT JAM, GATE, CSIR NET, UGC NET
FAQs on Improper Integrals: Convergence Video Lecture - Mathematics for IIT JAM, GATE, CSIR NET, UGC NET
| 1. What is an improper integral? |  |
Ans. An improper integral is a type of definite integral that has either an infinite limit of integration or an integrand that is not defined at certain points within the interval of integration.
| 2. How do you determine if an improper integral converges? | |
Ans. To determine if an improper integral converges, you need to evaluate the integral over the interval of integration and check if the result is a finite number. If it is, then the integral converges; otherwise, it diverges.
| 3. What is the difference between a convergent and a divergent improper integral? | |
Ans. A convergent improper integral is one that has a finite value when evaluated, meaning the integral exists. On the other hand, a divergent improper integral is one that does not have a finite value when evaluated, indicating that the integral does not exist.
| 4. What are the different types of improper integrals? | |
Ans. There are two types of improper integrals: Type 1, which has infinite limits of integration, and Type 2, which has an integrand that is not defined at certain points within the interval of integration.
| 5. Can an improper integral converge even if it has an unbounded integrand? | |
Ans. Yes, an improper integral can still converge even if it has an unbounded integrand. The convergence of an improper integral depends on the behavior of the integrand as it approaches the points of discontinuity or the infinite limits of integration. If the integral can be evaluated to a finite value despite the unboundedness of the integrand, it converges.
About this Video
4.64/5
Rating
Sep 05, 2025
Last updated
Related Exams
Video Description: Improper Integrals: Convergence for Mathematics 2025 is part of Mathematics for IIT JAM, GATE, CSIR NET, UGC NET preparation.
The notes and questions for Improper Integrals: Convergence have been prepared according to the Mathematics exam syllabus.
Information about Improper Integrals: Convergence covers all important topics for Mathematics 2025 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Improper Integrals: Convergence.
Introduction of Improper Integrals: Convergence in English is available as part of our Mathematics for IIT JAM, GATE, CSIR NET, UGC NET for Mathematics & Improper Integrals: Convergence in
Hindi for Mathematics for IIT JAM, GATE, CSIR NET, UGC NET course. Download more important topics related with notes, lectures and mock test series for
Mathematics Exam by signing up for free.
Description
Video Lecture & Questions for Improper Integrals: Convergence Video Lecture | Mathematics for IIT JAM, GATE, CSIR NET, UGC NET - Mathematics full syllabus preparation | Free video for Mathematics exam to prepare for Mathematics for IIT JAM, GATE, CSIR NET, UGC NET.
Information about Improper Integrals: Convergence
Here you can find the meaning of Improper Integrals: Convergence defined & explained in the simplest way possible.
Besides explaining types of Improper Integrals: Convergence theory, EduRev gives you an ample number of questions to practice Improper Integrals: Convergence tests,
examples and also practice Mathematics tests.
Related Searches
Viva Questions
,Improper Integrals: Convergence Video Lecture | Mathematics for IIT JAM
,Improper Integrals: Convergence Video Lecture | Mathematics for IIT JAM
,GATE
,Sample Paper
,Semester Notes
,GATE
,practice quizzes
,Objective type Questions
,Summary
,GATE
,UGC NET
,MCQs
,UGC NET
,Exam
,mock tests for examination
,video lectures
,Free
,CSIR NET
,CSIR NET
,UGC NET
,past year papers
,shortcuts and tricks
,Important questions
,Extra Questions
,CSIR NET
,study material
,Improper Integrals: Convergence Video Lecture | Mathematics for IIT JAM
,Previous Year Questions with Solutions
,ppt
;
Study Improper Integrals: Convergence on the App
Students of Mathematics can study Improper Integrals: Convergence alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Improper Integrals: Convergence,
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 Improper Integrals: Convergence is prepared as per the latest Mathematics syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup