Representation of Triple Integrals
Triple integrals can be represented as below:
[Tex]\iiint kV dV = \int_0^z\int_0^y\int_0^x kV dx dy dz [/Tex]
Where x, y and z are three different variables on which integration is performed
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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