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# U+222CDouble Integral

U+222C was added in Unicode version 1.1 in 1993. It belongs to the block U+2200 to U+22FF Mathematical Operators in the U+0000 to U+FFFF Basic Multilingual Plane.

This character is a Math Symbol and is commonly used, that is, in no specific script.

The glyph is a compatibility composition of the glyphs Integral, Integral. Its width in East Asian texts is determined by its context. It can be displayed wide or narrow. In bidirectional text it acts as Other Neutral. When changing direction it is mirrored. If its East Asian Width is “narrow”, U+222C forms a word with similar characters, which prevents a line break inside it. Otherwise it allows line breaks around it, except in some numeric contexts. The glyph can be confused with one other glyph.

The CLDR project calls this character “double integral” for use in screen reading software. It assigns these additional labels, e.g. for search in emoji pickers: calculus.

In mathematics (specifically multivariable calculus), a multiple integral is a definite integral of a function of several real variables, for instance, f(x, y) or f(x, y, z). Physical (natural philosophy) interpretation: S any surface, V any volume, etc.. Incl. variable to time, position, etc.

Integrals of a function of two variables over a region in ${R}^{2}$ (the real-number plane) are called double integrals, and integrals of a function of three variables over a region in ${R}^{3}$ (real-number 3D space) are called triple integrals. For multiple integrals of a single-variable function, see the Cauchy formula for repeated integration.

## Representations

System Representation
8748
UTF-8 E2 88 AC
UTF-16 22 2C
UTF-32 00 00 22 2C
URL-Quoted %E2%88%AC
HTML hex reference &#x222C;
Wrong windows-1252 Mojibake âˆ¬
HTML named entity &Int;
Encoding: EUC-KR (hex bytes) A1 F3
Encoding: JIS0208 (hex bytes) A2 EA
LATEX \int\!\int
Adobe Glyph List dblintegral
digraph DI

## Complete Record

Property Value
Age (age) 1.1 (1993)
Unicode Name (na) DOUBLE INTEGRAL
Unicode 1 Name (na1)
Block (blk) Mathematical Operators
General Category (gc) Math Symbol
Script (sc) Common
Bidirectional Category (bc) Other Neutral
Combining Class (ccc) Not Reordered
Decomposition Type (dt) compatibility
Decomposition Mapping (dm) Integral Integral
Lowercase (Lower)
Simple Lowercase Mapping (slc) Double Integral
Lowercase Mapping (lc) Double Integral
Uppercase (Upper)
Simple Uppercase Mapping (suc) Double Integral
Uppercase Mapping (uc) Double Integral
Simple Titlecase Mapping (stc) Double Integral
Titlecase Mapping (tc) Double Integral
Case Folding (cf) Double Integral
ASCII Hex Digit (AHex)
Alphabetic (Alpha)
Bidi Control (Bidi_C)
Bidi Mirrored (Bidi_M)
Composition Exclusion (CE)
Case Ignorable (CI)
Changes When Casefolded (CWCF)
Changes When Casemapped (CWCM)
Changes When NFKC Casefolded (CWKCF)
Changes When Lowercased (CWL)
Changes When Titlecased (CWT)
Changes When Uppercased (CWU)
Cased (Cased)
Full Composition Exclusion (Comp_Ex)
Default Ignorable Code Point (DI)
Dash (Dash)
Deprecated (Dep)
Diacritic (Dia)
Emoji Modifier Base (EBase)
Emoji Component (EComp)
Emoji Modifier (EMod)
Emoji Presentation (EPres)
Emoji (Emoji)
Extender (Ext)
Extended Pictographic (ExtPict)
FC NFKC Closure (FC_NFKC) Double Integral
Grapheme Cluster Break (GCB) Any
Grapheme Base (Gr_Base)
Grapheme Extend (Gr_Ext)
Hex Digit (Hex)
Hyphen (Hyphen)
ID Continue (IDC)
ID Start (IDS)
IDS Binary Operator (IDSB)
IDS Trinary Operator and (IDST)
IDSU (IDSU) 0
ID_Compat_Math_Continue (ID_Compat_Math_Continue) 0
ID_Compat_Math_Start (ID_Compat_Math_Start) 0
Ideographic (Ideo)
InCB (InCB) None
Indic Mantra Category (InMC)
Indic Positional Category (InPC) NA
Indic Syllabic Category (InSC) Other
Jamo Short Name (JSN)
Join Control (Join_C)
Logical Order Exception (LOE)
Math (Math)
Noncharacter Code Point (NChar)
NFC Quick Check (NFC_QC) Yes
NFD Quick Check (NFD_QC) Yes
NFKC Casefold (NFKC_CF) Integral Integral
NFKC Quick Check (NFKC_QC) No
NFKC_SCF (NFKC_SCF) Integral Integral
NFKD Quick Check (NFKD_QC) No
Other Alphabetic (OAlpha)
Other Default Ignorable Code Point (ODI)
Other Grapheme Extend (OGr_Ext)
Other ID Continue (OIDC)
Other ID Start (OIDS)
Other Lowercase (OLower)
Other Math (OMath)
Other Uppercase (OUpper)
Prepended Concatenation Mark (PCM)
Pattern Syntax (Pat_Syn)
Pattern White Space (Pat_WS)
Quotation Mark (QMark)
Regional Indicator (RI)
Sentence Break (SB) Other
Soft Dotted (SD)
Sentence Terminal (STerm)
Terminal Punctuation (Term)
Unified Ideograph (UIdeo)
Variation Selector (VS)
Word Break (WB) Other
White Space (WSpace)
XID Continue (XIDC)
XID Start (XIDS)
Expands On NFC (XO_NFC)
Expands On NFD (XO_NFD)
Expands On NFKC (XO_NFKC)
Expands On NFKD (XO_NFKD)
Bidi Paired Bracket (bpb) Double Integral
Bidi Paired Bracket Type (bpt) None
East Asian Width (ea) ambiguous
Hangul Syllable Type (hst) Not Applicable
ISO 10646 Comment (isc)
Joining Group (jg) No_Joining_Group
Joining Type (jt) Non Joining
Line Break (lb) Ambiguous (Alphabetic or Ideographic)
Numeric Type (nt) none
Numeric Value (nv) not a number
Simple Case Folding (scf) Double Integral
Script Extension (scx)
Vertical Orientation (vo) R