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Integral Symbol ∫

The integral is a fundamental concept in calculus that represents the accumulation of quantities. The integral symbol is used to denote this mathematical operation.

Definition

The integral of a function f(x) with respect to x is denoted by the symbol ∫ and is expressed as ∫ f(x) dx, where dx indicates the variable of integration.

Representation in HTML

In HTML, the integral symbol can be represented using the HTML entity &#8747; or by the character itself <int>.

Usage in Mathematics

Integrals are used to calculate various mathematical quantities, including areas under curves, volumes of solids, and solutions to differential equations.

Example

The integral of a function f(x) = x^2 with respect to x from 0 to 1 is represented as ∫ (x^2) dx from 0 to 1 and evaluates to ⅓.

Understanding the integral symbol is essential for mastering calculus and its applications in various scientific and engineering fields.

Integral Symbol Information

Symbol Name
Integral
Unicode Version
1.1 (June 1993)
Unicode
U+222B
CSS Code
\222B
HTML Entity
&int;
Hex Code
&#x222B;
HTML Code
&#8747;
Latex
\int
Symbol
∫

Integral Symbol Encoding

UTF-8
0xE2 0x88 0xAB
UTF-16
0x222B
UTF-32
0x0000222B

IntegralSymbol's PNG and SVG files

Integral symbol png image
Integral symbol svg image

Integral Symbol in Latex

Integral
1\documentclass{article} 2\begin{document} 3\int 4\end{document}

How to add integral symbol via keyboard on different Operating systems

You can type the integral symbol on most modern devices with the help of following methods:

How to type integral symbol on Microsoft Word

You can type the integral in Microsoft Word using steps mentioned below:

  • Place your cursor in the text area where you need to insert the symbol and type 222B
  • Without moving the cursor press keys Alt + x together
  • The original 222B is now transformed into ∫

How to type integral symbol on Microsoft Windows

You can type the integral on Microsoft windows using following steps:

  • Hold Alt and press to type integral on your windows machine.

How to type integral symbol on Mac OS

You can type the integral on Mac OS using following steps:

  • Place your cursor in the text area where you need to insert the symbol
  • Press Ctrl + ⌘ Command + ⎵ Space to bring up the Character Viewer. Alternatively, choose Edit ⇒ Emoji & Symbols
  • Type "Integral" in the search field at the top and press Enter
  • The symbol should appear. Click on it to insert it into your text
Mac OS Character Viewer
Mac OS Character Viewer

How to type integral symbol on Linux

You can type the integral on Linux using following steps:

  • Place your cursor in the text area where you need to insert the symbol
  • Hold ⇧ Shift + Ctrl and press the letter + U
  • Press keys 222B consecutively
  • And then press ↵ Enter , the desired symbol will be added to your document

How to type integral symbol on IOS and Android

The easiest way to type the integral symbol on ios and android is to copy and paste it wherever you need it.

How to use integral in CSS

//CSS Example
1span { 2 content: \222B; 3 }

How to use integral in HTML

//HTML Example
1<span>&#8747;</span>

Integral symbol representation in programming languages

Integralsymbol's representation in different programming languages can be found in table below:

LanguageRepresentation
Rust
\u{222B}
Ruby
\u{222B}
Python
\u222B
PHP
\u{222B}
Perl
\x{222B}
Java
\u222B
Modern JavaScript - Since ES6
\u{222B}
JavaScript
\u222B
Go
\u222B
C#
\u222B
C and C++
\u222B
Bash and Zsh - inside echo -e
\u222B
RFC 5137
\u'222B'