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∱

clockwise integral

Clockwise Integral

50/256

∱ marks an integral taken clockwise. It is mathematical notation; the symbol alone does not tell you whether the path is closed. For an integral along a directed path, reversing the path reverses the sign.

Text symbol

What ∱ means

It marks integration in a clockwise direction. For an integral along a directed path, reversing the path reverses the sign.

A contour is a closed path. is the clockwise contour integral sign, used for integration around one.

Technical notation; without its surrounding formula, you cannot tell what is being integrated.

Don't confuse it with

2

Questions people ask

1

Why does ∱ show as a box on some devices?

Because that device's fonts have no glyph for it. The character is still correct and still copies correctly — the box is a missing glyph, not a broken character.

How to type or find ∱

Search it as
clockwise integral symbol · cwint · clockwise contour integral · integral direction
Shows up in
Anything that takes text · its shape is whatever your font draws
Windows (Word)
⎇Alt+XType 2231, 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 “clockwise integral”.
Linux
⎈Ctrl+⇧Shift+UType 2231, then Enter or Space.
HTML
∱
CSS
\2231
Word
In Word, type 2231, then press AltX.
Linux
Press CtrlShiftU, type 2231, then press Enter.
Mobile
As of 2026, ordinary phone keyboards rarely expose it; use a Unicode-capable keyboard or input app.
Codes and encoding1 code points
HTML decimal
∱
HTML hex
∱
CSS content
content: "\2231";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E2%88%B1
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