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Integral symbol

 
Wikipedia: Integral symbol
The integral symbol.

The symbol \int is used to denote the integral in mathematics. The notation was introduced by the German mathematician Gottfried Wilhelm von Leibniz towards the end of the 17th century. The symbol was based on the ſ (long s) character, and was chosen because the integral is a limit of sums. See long s for more details on the history of ſ.

The symbol is U+222B in Unicode and \int in LaTeX. In HTML, it is written as ∫ (hexadecimal), ∫ (decimal) and ∫ (named entity).

The original IBM PC code page 437 character set included a couple of characters and (codes 244 and 245, respectively) to build the integral symbol. These were deprecated in subsequent MS-DOS code pages, but they still remain in Unicode (U+2320 and U+2321, respectively) for compatibility.

The symbol is very similar to, but not to be confused with, the (ʃ) symbol (called esh).

Related symbols are (double integral, U+222C), (triple integral, U+222D), (contour integral, U+222E), (surface integral, U+222F), and (volume integral, U+2230).

Typography in other languages

In other languages, the shape of the integral symbol differs slightly from the shape commonly seen in English-language textbooks.

Another difference is in the placement of limits for definite integrals. In English-language books, limits go to the right of the integral symbol:  \int_0^T f(t)\;dt

By contrast, in German and Russian tradition, limits go above and below the integral symbol, making the mathematical formula take up more vertical space:  \int\limits_0^T  f(t)\;\mathrm{d}t

References

External links


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Wikipedia. This article is licensed under the Creative Commons Attribution/Share-Alike License. It uses material from the Wikipedia article "Integral symbol" Read more