VOLUME INTEGRAL·U+2230

Character Information

Code Point
U+2230
HEX
2230
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 88 B0
11100010 10001000 10110000
UTF16 (big Endian)
22 30
00100010 00110000
UTF16 (little Endian)
30 22
00110000 00100010
UTF32 (big Endian)
00 00 22 30
00000000 00000000 00100010 00110000
UTF32 (little Endian)
30 22 00 00
00110000 00100010 00000000 00000000
HTML Entity
∰
URI Encoded
%E2%88%B0

Description

The Unicode character U+2230, known as the Volume Integral (∫), plays a crucial role in mathematical expressions and scientific notations. As an integral sign, it represents the process of calculating the accumulated value of a function over a particular interval or range. Its typical usage lies within the realms of calculus and differential geometry, where it denotes integration - the fundamental concept used to calculate areas under curves, lengths of curves in three-dimensional spaces, and volumes of solids of revolution. The Volume Integral is widely used in various branches of science and engineering, including physics, chemistry, and computer graphics. It is also employed in software applications for programming and coding, where it helps express mathematical algorithms concisely and accurately. Despite its technical nature, the Volume Integral has no notable cultural or linguistic context associated with it, but it remains an indispensable tool for scientists and mathematicians worldwide.

How to type the symbol on Windows

Hold Alt and type 8752 on the numpad. Or use Character Map.

  1. Step 1: Determine the UTF-8 encoding bit layout

    The character has the Unicode code point U+2230. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of 0x0800 to 0xffff.

    Therefore we know that the UTF-8 encoding will be done over 16 bits within the final 24 bits and that it will have the format: 1110xxxx 10xxxxxx 10xxxxxx
    Where the x are the payload bits.

    UTF-8 Encoding bit layout by codepoint range
    Codepoint RangeBytesBit patternPayload length
    U+0000 - U+007F10xxxxxxx7 bits
    U+0080 - U+07FF2110xxxxx 10xxxxxx11 bits
    U+0800 - U+FFFF31110xxxx 10xxxxxx 10xxxxxx16 bits
    U+10000 - U+10FFFF411110xxx 10xxxxxx 10xxxxxx 10xxxxxx21 bits
  2. Step 2: Obtain the payload bits:

    Convert the hexadecimal code point U+2230 to binary: 00100010 00110000. Those are the payload bits.

  3. Step 3: Fill in the bits to match the bit pattern:

    Obtain the final bytes by arranging the paylod bits to match the bit layout:
    11100010 10001000 10110000