# Category:Definitions/Primitives

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This category contains definitions related to Primitives.

Related results can be found in Category:Primitives.

### Primitive of Real Function

Let $F$ be a real function which is continuous on the closed interval $\closedint a b$ and differentiable on the open interval $\openint a b$.

Let $f$ be a real function which is continuous on the open interval $\openint a b$.

Let:

- $\forall x \in \openint a b: \map {F'} x = \map f x$

where $F'$ denotes the derivative of $F$ with respect to $x$.

Then $F$ is **a primitive of $f$**, and is denoted:

- $\displaystyle F = \int \map f x \rd x$

## Pages in category "Definitions/Primitives"

The following 10 pages are in this category, out of 10 total.

### P

- Definition:Primitive (Calculus)
- Definition:Primitive (Calculus)/Arbitrary Constant
- Definition:Primitive (Calculus)/Indefinite Integral
- Definition:Primitive (Calculus)/Integration
- Definition:Primitive (Calculus)/Real
- Definition:Primitive (Calculus)/Vector-Valued Function
- Definition:Primitive of Real Function
- Definition:Primitive of Vector-Valued Function