HTML Entity for Clockwise Integral (∱)

Beginner
⏱️ 5 min read
📚 Updated: Jun 2026
🎯 1 Code Example
Unicode U+2231
HTML entity for Clockwise Integral (U+2231) tutorial illustration

What You'll Learn

How to display the Clockwise Integral (∱) in HTML using numeric references, the named entity, and CSS escapes. This character is U+2231 (CLOCKWISE INTEGRAL) in the Mathematical Operators block (U+2200–U+22FF). It denotes a clockwise-oriented integral used in calculus and physics notation.

You can use the named entity ∱, hex ∱, decimal ∱, or CSS \2231. Do not confuse ∱ with Clockwise Contour Integral U+2232 (∲), Integral U+222B (∫), or Contour Integral U+222E (∮).

⚡ Quick Reference — Clockwise Integral

Unicode U+2231

Mathematical Operators (U+2200–U+22FF)

Hex Code ∱

Hexadecimal reference

HTML Code ∱

Decimal reference

Named Entity ∱

Standard HTML entity

Reference Table
Name           Value
────────────   ──────────
Unicode        U+2231
Hex code       ∱
HTML code      ∱
Named entity   ∱
CSS code       \2231
1

Complete HTML Example

This example demonstrates the Clockwise Integral (∱) using hexadecimal code, decimal HTML code, the named entity ∱, and a CSS content escape:

html
<!DOCTYPE html>
<html>
<head>
 <style>
  #point:after{
   content: "\2231";
  }
 </style>
</head>
<body>
<p>Clockwise Integral using Hexa Decimal: &#x2231;</p>
<p>Clockwise Integral using HTML Code: &#8753;</p>
<p>Clockwise Integral using HTML Entity: &cwint;</p>
<p id="point">Clockwise Integral using CSS Entity: </p>
</body>
</html>
Try it Yourself

🌐 Browser Support

U+2231 is supported in modern browsers; math fonts improve glyph quality:

Chrome 1+
Firefox 1+
Safari 3.1+
Edge 12+
Opera 4+
Android 4.4+
iOS Safari 3.2+

👀 Live Preview

See the Clockwise Integral in mathematical contexts:

Calculus ∱ f(z) dz   &cwint; f(z) dz
Named entity Clockwise integral: &cwint;
Large glyph ∱
vs related integrals Clockwise: ∱ (U+2231)   Contour: ∲ (U+2232)   Standard: ∫ (U+222B)
Monospace refs &#x2231; &#8753; &cwint; \2231

🧠 How It Works

1

Hexadecimal Code

&#x2231; references code point U+2231 using hex digits 2231.

HTML markup
2

Decimal HTML Code

&#8753; is the decimal equivalent (8753) for the same character.

HTML markup
3

Named HTML Entity

&cwint; is the standard named entity for U+2231—“cw” for clockwise plus “int” for integral.

HTML markup
4

CSS Entity

\2231 is the CSS escape for U+2231, used in the content property of ::before or ::after.

CSS stylesheet
=

Same visual result

All four methods produce the Clockwise Integral glyph: ∱. Unicode U+2231 sits in Mathematical Operators (U+2200–U+22FF).

✅

Use Cases

The Clockwise Integral (∱) commonly appears in:

∫ Calculus

Contour integrals, line integrals, and advanced calculus notation in equations.

⚛ Physics

Integrals in physics formulae, electromagnetism, and engineering documentation.

📚 Academic papers

Published papers, textbooks, and educational content with integral notation.

📄 Scientific docs

Technical documentation and research articles with mathematical expressions.

💻 Math editors

Equation editors, math input fields, and formula displays on the web.

🔤 Symbol references

Unicode tables and Mathematical Operators glossaries.

♿ Accessibility

Pair with MathML or alt text (e.g. “clockwise integral”) for screen readers.

💡 Best Practices

Do

  • Prefer &cwint; for readable HTML when writing equations by hand
  • Use math-oriented fonts (Cambria Math, STIX, Noto Sans Math) for clearer glyphs
  • Keep entity style consistent within a document
  • Use \2231 only inside CSS content, not in HTML text nodes
  • Consider MathML or KaTeX/MathJax for complex multi-line equations

Don’t

  • Confuse U+2231 (∱) with U+2232 contour integral (∲) or U+222B standard integral (∫)
  • Use U+02231 notation—the correct code point is U+2231
  • Assume every integral symbol is interchangeable—each has distinct Unicode semantics
  • Rely on default fonts alone for publication-quality math rendering
  • Mix entity styles randomly in one file

Key Takeaways

1

Named entity is the easiest option

&cwint;
2

Numeric references also render ∱

&#x2231; &#8753;
3

For CSS stylesheets, use the escape in the content property

\2231
4

U+2231 CLOCKWISE INTEGRAL

5

Four methods, one glyph — widely supported in modern browsers

❓ Frequently Asked Questions

Use &cwint; (named entity), &#x2231; (hex), &#8753; (decimal), or \2231 in CSS content. All produce ∱.
U+2231 (CLOCKWISE INTEGRAL). Mathematical Operators (U+2200–U+22FF). Hex 2231, decimal 8753.
In mathematical and scientific content: equations, calculus notation, physics formulae, academic papers, educational content, and any document displaying contour or line integrals.
HTML entities (&cwint;, &#8753;, or &#x2231;) go directly in markup. The CSS escape \2231 is used in stylesheets, typically in the content property of pseudo-elements.
Yes. &cwint; is the named entity for U+2231. Clockwise Contour Integral is a different character: U+2232 (∲).

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About the author

Mari Selvan M P
Mari Selvan M P 🔗

Developer, cloud engineer, and technical writer

  • Experience 12 years building web and cloud systems
  • Focus Full Stack Development, AWS, and Developer Education

I write practical tutorials so students and working developers can learn by doing—from databases and APIs to deployment on AWS.

AWS Certified Developer – Associate (Credly)

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