What are Triple Integrals?
Triple integral is the term given to three continuous solving of integrals represented through three differential integrals. These three integrals are continuously evaluated with their respective variables to attain a final value of the triple integral. The variables and constants in the triple integral can be either be same or different depending on the integral under consideration.
The three integrals involved in Triple Integration are in such a way that the first integral is first evaluated post which the second and third integrals are evaluated.
Note: In Triple Integral, each integrals can be evaluated irrespective of their order and the final result of the integral will be the same value in all circumstances.
Triple Integral Definition
Triple integral refers to the integration of a function that uses three distinct variable and os calculated Triple Integration is done along a three dimensional object that possesses volume.
Read in Detail: Calculus in Maths
Triple Integrals
Triple Integrals: Integrals are an essential part of the mathematical world and hold great significance in today’s world. There are different types of integrals and each has its importance in mathematics. Some of these different types of integrals in mathematics are linear integrals, double integrals, triple integrals, etc.
Triple Integral is one of the types of multi integral of a function that involves three variables. Triple Integral in Calculus is the integration involving volume, hence it is also called Volume Integral and the process of calculating Triple Integral is called Triple Integration.
In this article, we will discuss triple integrals in detail along with their examples and representation and steps to solve multiple triple integral problems.
Read in Detail: Integrals
Table of Content
- What are Triple Integrals?
- Triple Integral Definition
- Representation of Triple Integrals
- How to Solve Triple Integrals?
- Properties of Triple Integration
- Linearity
- Additivity
- Monotonicity
- Divergence Theorem
- Application of Triple Integrals
- Triple Integrals in Engineering Mathematics
- Solved Examples on Triple Integrals
- Practice Questions on Triple Integrals