How to write integral Symbol in LaTeX
To write integral symbol (∫) in LaTeX, use the LaTeX command \int. It will add ∫ symbol in the text.
In this article, we will discuss how to use calculus integral symbol (∫) in the LaTeX document and their significance in the mathematical expressions and scientific disciplines.
Symbol Overview
Symbol: Integral
Unicode: U+222B
Type: Mathematical
Package Requirement: None (built-in symbol)
Argument: None (no additional arguments needed)
LaTeX Command: \int
Example: ∫
Description
The integral symbol (∫) is built-in symbol available in LaTeX,denoted by command \int. It is very significant mathematical symbol used to calculate the area under the curve and volumes in calculus and geometry.
Syntax
The LaTeX command \int is used to write the integral symbol.
\int
The basic syntax for an indefinite integral is as follows:
\int f(x) dx
Output: 👇️
∫f(x)dx
For definite integral, you can use the following syntax:
\int_{a}^{b} f(x) dx
Output: 👇️
∫baf(x)dx
Where f(x) is the integrand, a and b are the lower and upper limits of integration respectively.
Using the Indefinite Integral Symbol in a Mathematical Expression
\int x^2 dx
Output 👇️
∫x2dx
Using the Definite Integral Symbol in Calculus
\int_{0}^{1} \frac{1}{x} dx
Output 👇️
∫101/x dx
Applications
The integral symbol has extensive applications various mathematical and scientific fields such as:
- Calculation of areas and volumes in calculus and geometry
- Solve problems involving continous functions
- Determine probability distributions in statistics and probability theory.
Conclusion
The integral symbol (∫) is used to perform integration in calculus.
Using the above syntax and examples presented in this article, you can write and use integral symbol in your LaTeX documents to represent the integration and solve complex mathematical expressions.