JEE Exam > JEE Videos > Mathematics (Maths) Class 12 > Video: Integration by Partial Fractions
Video: Integration by Partial Fractions Video Lecture | Mathematics (Maths) Class 12 - JEE
|
204 videos|290 docs|139 tests
|
FAQs on Video: Integration by Partial Fractions Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What is integration by partial fractions? |  |
Ans. Integration by partial fractions is a method used in calculus to decompose a rational function into simpler fractions. It allows us to integrate complicated expressions by breaking them down into smaller, more manageable components.
| 2. When is integration by partial fractions used? | |
Ans. Integration by partial fractions is commonly used when integrating rational functions, where the degree of the numerator is less than or equal to the degree of the denominator. It helps simplify the integration process by decomposing the rational function into fractions that are easier to integrate.
| 3. How does integration by partial fractions work? | |
Ans. Integration by partial fractions involves breaking down a rational function into a sum of simpler fractions. To do this, we first factorize the denominator of the rational function. Then, using the method of partial fractions, we express the rational function as a sum of fractions with unknown constants in the numerators. These constants are determined by equating the coefficients of the corresponding powers of x on both sides of the equation.
| 4. What are the steps involved in integration by partial fractions? | |
Ans. The steps involved in integration by partial fractions are as follows:
1. Factorize the denominator of the rational function.
2. Write the rational function as a sum of partial fractions, with unknown constants in the numerators.
3. Determine the values of the unknown constants by equating coefficients of corresponding powers of x.
4. Integrate each partial fraction separately.
5. Combine the results of integration to obtain the final answer.
| 5. Are there any special cases or conditions for integration by partial fractions? | |
Ans. Yes, there are a few special cases and conditions to consider when using integration by partial fractions:
- If the degree of the numerator is greater than or equal to the degree of the denominator, we need to perform polynomial long division before applying the method of partial fractions.
- If the denominator has repeated factors, we use a different approach called the method of repeated partial fractions.
- If the denominator cannot be factorized, integration by partial fractions may not be applicable. In such cases, other integration techniques may need to be used.
About this Video
|
4.98/5 Rating |
|
Nov 24, 2024 Last updated |
Video Description: Video: Integration by Partial Fractions for JEE 2024 is part of Mathematics (Maths) Class 12 preparation.
The notes and questions for Video: Integration by Partial Fractions have been prepared according to the JEE exam syllabus.
Information about Video: Integration by Partial Fractions covers all important topics for JEE 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Video: Integration by Partial Fractions.
Introduction of Video: Integration by Partial Fractions in English is available as part of our Mathematics (Maths) Class 12 for JEE & Video: Integration by Partial Fractions 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.
Description
Video Lecture & Questions for Video: Integration by Partial Fractions Video Lecture | Mathematics (Maths) Class 12 - JEE - JEE full syllabus preparation | Free video for JEE exam to prepare for Mathematics (Maths) Class 12.
Information about Video: Integration by Partial Fractions
Here you can find the meaning of Video: Integration by Partial Fractions defined & explained in the simplest way possible.
Besides explaining types of Video: Integration by Partial Fractions theory, EduRev gives you an ample number of questions to practice Video: Integration by Partial Fractions tests,
examples and also practice JEE tests.
|
204 videos|290 docs|139 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
Summary
,Important questions
,shortcuts and tricks
,practice quizzes
,video lectures
,Video: Integration by Partial Fractions Video Lecture | Mathematics (Maths) Class 12 - JEE
,Previous Year Questions with Solutions
,Exam
,Semester Notes
,Viva Questions
,study material
,Objective type Questions
,mock tests for examination
,Extra Questions
,Video: Integration by Partial Fractions Video Lecture | Mathematics (Maths) Class 12 - JEE
,Video: Integration by Partial Fractions Video Lecture | Mathematics (Maths) Class 12 - JEE
,Free
,past year papers
,MCQs
,ppt
,Sample Paper
;
Study Video: Integration by Partial Fractions on the App
Students of JEE can study Video: Integration by Partial Fractions alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Video: Integration by Partial Fractions,
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 Video: Integration by Partial Fractions 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