# Integrals of Rational Functions

## Key Questions

There is no one method that works for all rational functions.

#### Explanation:

Among the methods we can try are:

Substitution, Parts, Partial Fractions, Trigonometric Substitution, Miscellaneous Substitution.

• Use long division!

I hope that this was helpful.

• Definition

A rational function $r \left(x\right)$ is any function of the form

$r \left(x\right) = \frac{p \left(x\right)}{q \left(x\right)}$,

where $p \left(x\right)$ and $q \left(x\right)$ are polynomial functions.

I hope that this was helpful.