# Partial fraction decomposition

## Calculus partial_fraction_decomposition

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### Function : partial_fraction_decomposition

#### Summary :

The calculator allows a rational fraction to be broken down into simple elements.

Partial_fraction_decomposition online

## Rational fraction

A rational fraction is a ratio of polynomials.

## Decomposition of a rational fraction into simple elements

The calculator allows you to break down a rational fraction into simple elements.

Thus, to decompose into simple elements the following rational fraction (x^2+x+1)/x, one must enter : partial_fraction_decomposition((x^2+x+1)/x), after calculation, the result of the decomposition of the rational fraction is returned.

One of the particularities of the calculator is to indicate the different calculation steps that allow to decompose a rational fraction.

## Use of rational fractions

Rational fractions are particularly used when searching searching for antiderivatives.

The calculator allows a rational fraction to be broken down into simple elements.

#### Syntax :

partial_fraction_decomposition(rational_fraction)

#### Examples :

partial_fraction_decomposition((x^2+x+1)/x) returns 1+x+1/x
partial_fraction_decomposition((x^4)/(-1+x^2)) = 1+x^2+1/(2*(-1+x))-1/(2*(1+x))

Calculate online with partial_fraction_decomposition (Partial fraction decomposition)