free-symbols

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

UnicodeU+2230
HTML Entity∰
HTML Code∰
CSS\2230

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.

Related symbols