Open App

Mathematics Exam > Mathematics Videos > Mathematics for Competitive Exams > Double Integral & Area By Double Integration

Double Integral & Area By Double Integration Video Lecture | Mathematics for Competitive Exams

FAQs on Double Integral & Area By Double Integration Video Lecture - Mathematics for Competitive Exams

1. What is a double integral?

Ans. A double integral is a mathematical concept used to calculate the area under a surface or the volume of a solid in two dimensions. It involves integrating a function over a region in a two-dimensional space.

2. How is the area calculated using double integration?

Ans. To calculate the area using double integration, you need to set up a double integral with the integrand equal to 1 (constant function) and integrate it over the desired region. The result of this integration will give you the area of the region.

3. Can double integration be used to find the area of irregular shapes?

Ans. Yes, double integration can be used to find the area of irregular shapes. By defining the limits of integration appropriately and integrating over the region, you can accurately determine the area of any shape, regardless of its irregularity.

4. What is the difference between a single integral and a double integral?

Ans. A single integral is used to find the area under a curve in one dimension, while a double integral is used to find the volume or area under a surface in two dimensions. The main difference is that a double integral involves integrating over a region instead of a single interval.

5. What are some applications of double integration in real-world problems?

Ans. Double integration has various applications in physics, engineering, and economics. It can be used to calculate the mass of an object with a varying density, determine the center of mass of a two-dimensional plate, analyze fluid flow in a two-dimensional region, or find the total revenue from a demand function in economics, among many other applications.

About this Video

4.68/5 Rating

Oct 14, 2025 Last updated

Related Exams

Mathematics

Video Description: Double Integral & Area By Double Integration for Mathematics 2025 is part of Mathematics for Competitive Exams preparation. The notes and questions for Double Integral & Area By Double Integration have been prepared according to the Mathematics exam syllabus. Information about Double Integral & Area By Double Integration covers all important topics for Mathematics 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Double Integral & Area By Double Integration.

Introduction of Double Integral & Area By Double Integration in English is available as part of our Mathematics for Competitive Exams for Mathematics & Double Integral & Area By Double Integration in Hindi for Mathematics for Competitive Exams 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 Double Integral & Area By Double Integration Video Lecture | Mathematics for Competitive Exams - Mathematics full syllabus preparation | Free video for Mathematics exam to prepare for Mathematics for Competitive Exams.

Information about Double Integral & Area By Double Integration

Here you can find the meaning of Double Integral & Area By Double Integration defined & explained in the simplest way possible. Besides explaining types of Double Integral & Area By Double Integration theory, EduRev gives you an ample number of questions to practice Double Integral & Area By Double Integration tests, examples and also practice Mathematics tests.

	Mathematics for Competitive Exams 98 videos\|34 docs\|32 tests

Mathematics for Competitive Exams

98 videos|34 docs|32 tests

Join Course for Free

Explore Courses for Mathematics exam

study material

shortcuts and tricks

Free

Sample Paper

Summary

ppt

past year papers

Previous Year Questions with Solutions