Following presentation contains a brief information regarding double integral, the double integral over the rectangle, Fubini's theorem, properties of double integral and its application in real life.
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Double integral over rectangles, Fubinis theorem, properties of double integral
1. Double Integral Over Rectangle, Fubinies
Theorem, Properties Of Double Integral.
Active Learning Assessment
Calculus(2110014)
Semester:1
Made by:- Burhanuddin Kapadia
Enrolment : 170120119026
Class: ME H2
Submitted to: Prof. Keyuri Shah
2. Content
• Introduction to double integral
• Introduction to double integral over rectangle
• Introduction to fubini’s theorem
• Problem solving
• Properties of double integral
• Application of double integral
• Reference
5. Introduction to Fubinis Theorem
• In mathematical analysis Fubini's theorem, named after Guido Fubini, is a result
which gives conditions under which it is possible to compute a double integral
using iterated integrals.
• As a consequence it allows the order of integration to be changed in iterated
integrals.
• There are two methods to evaluate double integral,
13. Application Of double integral
• Double integrals arise in a number of areas of science and engineering, including
computations of
• Area of a 2D region
• Volume
• Mass of 2D plates
• Force on a 2D plate
• Average of a function
• Center of Mass and Moment of Inertia
• Surface Area