U+2231 "∱" Clockwise Integral Unicode Character

Unicode Version 17.0

U+2231 "∱" Clockwise Integral is a mathematical symbol that represents an integral taken along a closed curve or contour in a specific clockwise direction, contrasting with the more common counterclockwise integral sign. It is typically used in complex analysis and vector calculus to denote line integrals where the orientation of the path, moving in a clockwise sense, is explicitly stated or required. This character is part of the Mathematical Operators block in Unicode, allowing it to be displayed alongside other integral symbols in technical documents and digital text. Its distinct shape with a circular arrow indicates the direction of integration, providing clarity in equations where the sign of the result depends on the traversal orientation.

General Properties

Code Point U+2231
Version Added 1.1
Name Clockwise Integral
Block Mathematical Operators
General Category Math Symbol
Canonical Combining Class Not Reordered
Bidirectional Class Other Neutral
Mirrored Yes

Encodings

HTML Decimal Encoding ∱
HTML Hex Encoding ∱
UTF-8 Encoding 0xE2 0x88 0xB1
UTF-16 Encoding 0x2231
UTF-32 Encoding 0x00002231
C/C++/Java Escape \u2231

Unicode Properties

NFC Quick Check Yes
NFD Quick Check Yes
NFKC Quick Check Yes
NFKD Quick Check Yes
Numeric Type None
Numeric Value NaN
Line Break Alphabetic
Script Common
Script Extensions Common
Indic Syllabic Category Other
Pattern Syntax Yes
Math Yes
Vertical Orientation Rotated
Grapheme Base Yes
Grapheme Cluster Break Other
Word Break Other
Sentence Break Other