This character is a Math Symbol and is commonly used, that is, in no specific script.
The glyph is not a composition. 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+222B 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 “integral” for use in screen reading software. It assigns these additional labels, e.g. for search in emoji pickers: calculus.
The Wikipedia has the following information about this codepoint:
The integral symbol:
is used to denote integrals and antiderivatives in mathematics, especially in calculus.