Printable reference
Calculus Symbols Cheat Sheet
Review derivatives, integrals, limits, sums, products, gradients, and related calculus notation.
How to use this sheet
Use the notation together with explicit variables, bounds, differentials, and domains so the operation can be interpreted unambiguously.
| Symbol | Name and meaning | LaTeX | Unicode |
|---|---|---|---|
| IntegralRepresents integration, accumulation, or the area-like sum of infinitesimal contributions. | \int |
U+222B |
|
| Double IntegralRepresents integration over a two-dimensional region. | \iint |
U+222C |
|
| Triple IntegralRepresents integration over a three-dimensional region. | \iiint |
U+222D |
|
| Contour IntegralRepresents an integral around a closed curve or contour. | \oint |
U+222E |
|
| SummationRepresents the sum of a sequence of terms. | \sum |
U+2211 |
|
| ProductRepresents multiplication across an indexed sequence of factors. | \prod |
U+220F |
|
| Partial DerivativeDenotes differentiation with respect to one variable while other variables are held fixed. | \partial |
U+2202 |
|
| NablaA vector differential operator used for gradient, divergence, and curl. | \nabla |
U+2207 |
|
| InfinityRepresents an unbounded quantity or limit concept rather than an ordinary real number. | \infty |
U+221E |
|
| Double Prime SymbolMarks a second derivative or seconds of arc. | '' |
U+2033 |
|
| Anticlockwise IntegrationThe Unicode character ⨑ is named anticlockwise integration and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨑ |
U+2A11 |
|
| Circulation FunctionThe Unicode character ⨐ is named circulation function and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨐ |
U+2A10 |
|
| DeltaUppercase delta often denotes change, difference, a discriminant, or the Laplacian. | \Delta |
U+0394 |
|
| Euler’s NumberThe base of the natural logarithm, approximately 2.71828. | e |
U+0065 |
|
| Finite Part IntegralThe Unicode character ⨍ is named finite part integral and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨍ |
U+2A0D |
|
| Integral Around A Point OperatorThe Unicode character ⨕ is named integral around a point operator and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨕ |
U+2A15 |
|
| Integral Average with SlashThe Unicode character ⨏ is named integral average with slash and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨏ |
U+2A0F |
|
| Integral with Double StrokeThe Unicode character ⨎ is named integral with double stroke and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨎ |
U+2A0E |
|
| Integral with IntersectionThe Unicode character ⨙ is named integral with intersection and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨙ |
U+2A19 |
|
| Integral with Leftwards Arrow with HookThe Unicode character ⨗ is named integral with leftwards arrow with hook and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨗ |
U+2A17 |
|
| Integral with OverbarThe Unicode character ⨛ is named integral with overbar and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨛ |
U+2A1B |
|
| Integral with Times SignThe Unicode character ⨘ is named integral with times sign and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨘ |
U+2A18 |
|
| Integral with UnderbarThe Unicode character ⨜ is named integral with underbar and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨜ |
U+2A1C |
|
| Integral with UnionThe Unicode character ⨚ is named integral with union and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨚ |
U+2A1A |
|
| JoinThe Unicode character ⨝ is named join and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨝ |
U+2A1D |
|
| Laplacian SymbolA triangle glyph sometimes used for the Laplace operator or finite change. | \triangle |
U+2206 |
|
| Large Left Triangle OperatorThe Unicode character ⨞ is named large left triangle operator and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨞ |
U+2A1E |
|
| Line Integration Not Including The PoleThe Unicode character ⨔ is named line integration not including the pole and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨔ |
U+2A14 |
|
| Line Integration with Rectangular Path Around PoleThe Unicode character ⨒ is named line integration with rectangular path around pole and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨒ |
U+2A12 |
|
| Line Integration with Semicircular Path Around PoleThe Unicode character ⨓ is named line integration with semicircular path around pole and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨓ |
U+2A13 |
|
| Little ORepresents Little O asymptotic notation for describing growth, error, or limiting behavior. | o |
U+006F |
|
| Modulo Two SumThe Unicode character ⨊ is named modulo two sum and is used as a specialized mathematical sign in contexts where its exact shape carries meaning. | ⨊ |
U+2A0A |
Verification note
A calculus symbol may act as an operator, differential, index, or variable. Check the complete expression rather than copying a glyph in isolation.
Open the linked full reference for aliases, usage examples, common mistakes, platform input instructions, and related tools.
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Frequently asked questions
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