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Bottom Half Integral Symbol

⌡ is the “bottom half integral” symbol used in specialized mathematical and technical notation.

U+2321

⌡, named BOTTOM HALF INTEGRAL, is a Unicode character (U+2321). It’s useful when you need an integral-like shape that represents only the bottom half in typography or technical layouts. This page helps you copy it and use it correctly in text, code, and design.

Bottom Half Integral Symbol Meaning

⌡ (U+2321) is the Unicode character “BOTTOM HALF INTEGRAL.” It is used in mathematical or technical typography when authors want an integral symbol variant that emphasizes only the lower portion of the integral glyph. Compared to the full integral sign, this character can help fit complex expressions into tight layouts, visually align stacked or combined notation, or create custom symbol constructions in documents and design systems. Because it’s a distinct Unicode character, it’s best used directly rather than as an approximation made from other characters when consistent rendering is important.

Common uses

  • •Typesetting specialized math where only the bottom part of an integral symbol is required
  • •Building custom mathematical notation in document editors or publishing workflows
  • •Designing technical diagrams or formula layouts with constrained spacing
  • •Creating consistent UI/UX math glyphs in design systems and dashboards
  • •Writing plain-text technical content that relies on Unicode for accurate symbol rendering

Examples

⌡ Bottom Half Integral Symbol

  • ⌡∫ is common, but ⌡ can be used for bottom-only integral styling.
  • ⌡The stacked operator uses ⌡ for the lower segment of the notation.
  • ⌡In the template, replace the full integral with ⌡ when space is limited.
  • ⌡Our typesetting rules include ⌡ as a distinct Unicode operator variant.
  • ⌡Use ⌡ to match the baseline alignment of the surrounding symbols.

Variations

Ready to copy

Technical codes

UnicodeU+2321
HTML Entity⌡
HTML Code⌡
CSS\2321
Alt CodeAlt + 8993
Decimal8993

How to type Bottom Half Integral Symbol (⌡)

On Windows

Hold Alt and type 8993 on the numeric keypad. In Word, type 2321 then press Alt + X.

On Mac

Switch to the Unicode Hex Input keyboard, then hold Option and type 2321. Or press Control + Command + Space and search.

On Linux

Press Control + Shift + U, type 2321, then press Enter or Space.

Anywhere

Copy ⌡ with the button above and paste it wherever you need it — this works on every device and in every app, with no keyboard shortcut to remember.

FAQ

What does the Bottom Half Integral symbol mean?

⌡ (U+2321) is the Unicode character “BOTTOM HALF INTEGRAL.” It is used in mathematical or technical typography when authors want an integral symbol variant that emphasizes only the lower portion of the integral glyph. Compared to the full integral sign, this character can help fit complex expressions into tight layouts, visually align stacked or combined notation, or create custom symbol constructions in documents and design systems. Because it’s a distinct Unicode character, it’s best used directly rather than as an approximation made from other characters when consistent rendering is important.

What is the Unicode name of ⌡?

The Unicode name is “BOTTOM HALF INTEGRAL.”

What are the key identifiers for ⌡?

Unicode code point: U+2321. HTML entity: ⌡. CSS escape: \\2321. JavaScript escape: \\u{2321}.

How do I copy ⌡ for documents and web pages?

Copy the character directly from this page. For HTML, you can also use the entity ⌡.

Will ⌡ always look the same everywhere?

Not always—glyph appearance depends on the font. Using the correct Unicode character helps ensure the symbol is rendered as intended when a compatible font is available.

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