Volume Integral Symbol
∰ represents a volume integral in mathematical notation.
U+2230
The symbol ∰ (U+2230) is the volume integral sign used in math. It helps indicate that you are integrating over a three-dimensional region. Use it in formulas, typesetting, or documentation where volume integrals are discussed.
Volume Integral Symbol Meaning
∰, named “VOLUME INTEGRAL” (Unicode U+2230), is commonly used to denote an integral taken over a three-dimensional volume. In mathematical writing, it signals that the integration variable ranges through a spatial region (rather than along a line or over a surface). You’ll often see it used alongside an integrand and bounds that describe the volume, for example when expressing total mass from a density function or applying flux-related relations in 3D settings. In plain text and UI labels, it functions as a compact symbol for “volume integral” in educational content, documentation, and technical math communication.
Common uses
- •Mathematics and engineering notes describing 3D integrals
- •Lab reports or documentation formulas involving volume accumulation
- •UI labels and help text for calculators or equation editors
- •STEM presentations and worksheets showing 3D integration steps
- •Publishing or typesetting where Unicode math symbols are required
Examples
∰ Volume integral symbol
- ∰The total quantity is given by ∰ f(x,y,z) dV.
- ∰Compute the volume integral ∰ ρ dV over the region.
- ∰For symmetry, rewrite ∰ g dV using cylindrical coordinates.
- ∰Evaluate ∰ (∇·F) dV to relate to the boundary surface.
- ∰Set up ∰ h(x,y,z) dV with the given limits.
Variations
Ready to copy
Technical codes
| Unicode | U+2230 | |
| HTML Entity | ∰ | |
| HTML Code | ∰ | |
| CSS | \2230 | |
| Alt Code | Alt + 8752 | |
| Decimal | 8752 |
How to type Volume Integral Symbol (∰)
On Windows
Hold Alt and type 8752 on the numeric keypad. In Word, type 2230 then press Alt + X.
On Mac
Switch to the Unicode Hex Input keyboard, then hold Option and type 2230. Or press Control + Command + Space and search.
On Linux
Press Control + Shift + U, type 2230, 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 Volume Integral symbol mean?
∰, named “VOLUME INTEGRAL” (Unicode U+2230), is commonly used to denote an integral taken over a three-dimensional volume. In mathematical writing, it signals that the integration variable ranges through a spatial region (rather than along a line or over a surface). You’ll often see it used alongside an integrand and bounds that describe the volume, for example when expressing total mass from a density function or applying flux-related relations in 3D settings. In plain text and UI labels, it functions as a compact symbol for “volume integral” in educational content, documentation, and technical math communication.
What is the Unicode code point for ∰?
The symbol ∰ has Unicode code point U+2230.
How do I write ∰ in HTML?
Use the HTML entity ∰.
Can I use ∰ with CSS escaping?
Yes. The CSS escape is \\2230.
Is ∰ the same as the normal integral sign ∫?
No. ∰ specifically denotes a volume integral (integration over a 3D region), while ∫ is the general integral symbol.