HTML | Meaning | |
---|---|---|

∫ |
`∫` `∫` `U+222B` |
Integral SymbolThe Integral Symbol, denoted as ∫, represents the mathematical operation of integration, which finds the area under a curve. |

∬ |
`∬` `U+222C` |
Double Integral SymbolRepresents the process of integrating a function over two variables, often denoting the volume under a surface in three-dimensional space. |

∭ |
`∭` `U+222D` |
Triple Integral SymbolUsed to integrate a function over three variables, often representing the volume of a solid in three-dimensional space. |

Δ |
`Δ` `Δ` `U+394` |
Delta Symbol (Change)Represents a change in a quantity. |

∂ |
`∂` `∂` `U+2202` |
Partial Derivative SymbolRepresents the partial derivative of a function with respect to one of its variables. |

∑ |
`∑` `∑` `U+2211` |
Summation SymbolRepresents the operation of summing a sequence of terms. |

### What is the Integral Symbol?

The Integral Symbol, symbolized by ∫, is used in mathematics to denote the operation of integration. Integration is the reverse process of differentiation and is used to find the area under a curve or the accumulation of quantities.

### Types of Integrals

There are various types of integrals in mathematics:

**Definite Integral:**Has upper and lower limits and yields a numerical value representing the area between the function and the x-axis.**Indefinite Integral:**Does not have set limits and yields a family of functions as its result.**Line Integral:**Represents the integration along a curve in a vector field.**Surface Integral:**Represents the integration over a surface in three-dimensional space.**Double Integral (∬):**Denotes the process of integrating a function over two variables. It is often used to find the volume under a surface in three-dimensional space.**Triple Integral (∭):**Used to integrate a function over three variables, which typically represents the volume of a solid in three-dimensional space.

### Applications of the Integral Symbol in Various Fields

The Integral Symbol (∫) and its variants (∬ and ∭) have applications in multiple disciplines:

**Mathematics:**Used in calculus to determine areas, volumes, and other properties.**Physics:**Used to solve problems related to motion, energy, waves, and more.**Engineering:**Used in various engineering disciplines for design, analysis, and modeling purposes.

### How to Type the Integral Symbols Using Keyboard Shortcuts, Alt Codes, and LaTeX

**Windows:**Hold down the`Alt`key and type the appropriate code on the numeric keypad, then release the`Alt`key. (The specific Alt code may vary based on font and software.)**Mac:**The specific shortcut might vary. Specialized software or settings might be required.**Linux:**Press`Ctrl`+`Shift`+`u`, then type the Unicode hexadecimal and press`Enter`.**HTML:**Use the named entity appropriate for each integral symbol or its numeric entity.**LaTeX:**For the single integral, use`\int`

. For the double integral, use`\iint`

. For the triple integral, use`\iiint`

.