# Category:Primitives of Rational Functions

This category contains results about Primitives of Rational Functions.

Let $F$ be a real function which is continuous on the closed interval $\left[{a \,.\,.\, b}\right]$ and differentiable on the open interval $\left({a \,.\,.\, b}\right)$.

Let $f$ be a real function which is continuous on the open interval $\left({a \,.\,.\, b}\right)$.

Let:

- $\forall x \in \left({a \,.\,.\, b}\right): F' \left({x}\right) = f \left({x}\right)$

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

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

- $\displaystyle F = \int f \left({x}\right) \, \mathrm d x$

## 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