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⎮

integral extension

Integral extension

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⎮ is the integral extension: the straight middle piece of a tall integral sign . Stack the top hook , one or more ⎮ and the bottom hook on separate lines, and you get an integral as tall as the formula beside it, in plain text. On its own it is just a thin vertical line.

Text symbol

What ⎮ means

It is the stretchable middle of a tall integral sign. The integral sign is a stretched letter S. In printed maths it grows to match whatever stands beside it: a fraction, a matrix, a stack of lines. Fonts and screens without real maths layout can still build that tall sign from pieces, and ⎮ is the piece that can repeat as often as needed.

Each piece sits on its own line of fixed-width text: on top, ⎮ in the middle (one per extra line), at the bottom. Programs that print formulas in a terminal or a plain text file use exactly this trick, and so do people writing maths in emails, chats or code comments where nothing else is available.

Why does it look like an ordinary line?

Because alone it is only the straight part. Without above and below, ⎮ shows as a plain vertical stroke, and some fonts draw it shorter or thinner than the line height, so the stack can show small gaps. A monospaced font usually joins the pieces best.

If you just need an integral in normal writing, use . The pieces matter only when the sign must stretch over several lines of text.

Part of collections

Don't confuse it with

3

Worth knowing

  • The integral sign itself is a long S, chosen by Leibniz in 1675 from summa, Latin for “sum”, because an integral adds up infinitely many tiny pieces.

Questions people ask

2

Can I use ⎮ instead of the integral sign?

No. On its own it is a plain line; readers will not see an integral. Use , or stack , ⎮ and on separate lines.

Why does my stacked integral have gaps?

Usually the font. Some fonts draw ⎮, and shorter than the line height. A monospaced font with tight line spacing joins them best.

How to type or find ⎮

Also called
integral extender · vertical integral piece
Search it as
tall integral · integral piece · ⌠⎮⌡ · vertical line integral · big integral sign
Shows up in
Anything that takes text · its shape is whatever your font draws
Windows (Word)
⎇Alt+XType 23AE, then AltX to get ⎮.
Windows
⊞Win+Rrun charmap for the full table, or use the emoji picker's Ω symbols tab (Win .).
macOS
⌃Control+⌘Command+␣SpaceOpen the character viewer and search “integral extension”.
Linux
⎈Ctrl+⇧Shift+UType 23ae, then Enter or Space.
HTML
⎮
CSS
\23AE
Windows (Word)
Type 23AE, then press AltX.
Linux
Press CtrlShiftU, type 23AE, then press Enter or Space.
Mac
Open Character Viewer with CtrlCmdSpace and search for “integral extension”.
HTML
Write ⎮ in a web page.
Codes and encoding1 code points
HTML decimal
⎮
HTML hex
⎮
CSS content
content: "\23AE";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E2%8E%AE
1
On screen
1
Code points
1
JS .length
3
UTF-8 bytes

A visible symbol can contain several code points. JS .length counts UTF-16 units; UTF-8 counts bytes.

Families this belongs to

1

Maths & numbers1,835 symbols