# Category:Primitives of Rational Functions

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This category contains results about Primitives of Rational Functions.

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:

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

## Subcategories

This category has the following 8 subcategories, out of 8 total.

### P

## Pages in category "Primitives of Rational Functions"

The following 15 pages are in this category, out of 15 total.

### P

- Primitives involving a squared minus x squared
- Primitives involving a squared minus x squared squared
- Primitives involving a x squared plus b x plus c
- Primitives involving Power of a squared minus x squared
- Primitives involving Power of x squared minus a squared
- Primitives involving Power of x squared plus a squared
- Primitives involving x squared minus a squared
- Primitives involving x squared minus a squared squared
- Primitives involving x squared plus a squared
- Primitives involving x squared plus a squared squared
- Primitives of Functions involving a x + b and p x + q
- Primitives of Rational Functions involving a x + b
- Primitives of Rational Functions involving a x + b cubed
- Primitives of Rational Functions involving a x + b squared
- Primitives of Rational Functions involving Power of a x + b