∱

Math Operator 46

Unicode
U+2231
Category
Math
HTML Entity
∱
CSS
\2231
The clockwise integral symbol (∱) is a mathematical operator used in calculus to represent a line integral evaluated over a closed curve in a clockwise direction. Located in the Unicode Mathematical Operators block, it frequently appears in complex analysis, vector calculus, and physics equations. While rarely used in everyday typing, it is a vital tool for accurately typesetting precise scientific and mathematical documents.

How to Type

Windows
Alt+8753 or type 2231 then Alt+X in Microsoft Word
macOS
Control+Command+Space then search "clockwise integral"
Linux
Ctrl+Shift+U then 2231
HTML
∱ or ∱

In Programming

In typesetting and web development, this symbol is primarily used in MathML or LaTeX (often as \cwint or \ointright) to properly render advanced physics and calculus equations on digital platforms.

Read full meaning article

Tags

calculus clockwise contour clockwise integral clockwise loop integral closed path integral complex analysis symbol directed directed integral math operators unicode mathematics oriented integral path vector calculus ∱ symbol

Related Symbols

± Plus Minus Sign × Multiplication Sign ÷ Division Sign ≠ Not Equal To ≈ Approximately Equal To ∞ Infinity √ Square Root ∑ Summation ∫ Integral π Pi ≤ Less Than or Equal To ≥ Greater Than or Equal To