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))`

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

A **rational fraction** is a ratio of polynomials.

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**.

Rational fractions are particularly used when searching searching for antiderivatives.

partial_fraction_decomposition(rational_fraction)

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))`

See also

- Even or odd function calculator : is_odd_or_even_function. Calculator for determining whether a function is an even function and an odd function.
- Partial fraction decomposition calculator : partial_fraction_decomposition. The calculator allows a rational fraction to be broken down into simple elements.
- Derivative calculator : derivative. The derivative calculator allows steps by steps calculation of the derivative of a function with respect to a variable.
- Taylor expansion calculator : taylor_series_expansion. The taylor series calculator allows to calculate the Taylor expansion of a function.
- Properties of a numerical function : study_function. This calculator lets you study a function using the following algebraic calculation tools: derivative, antiderivative, is_odd_or_even_function, equation_tangent_line, discriminant, degree, valuation.
- Integral calculator : integral. The integral calculator calculates online the integral of a function between two values, the result is given in exact or approximated form.
- Indefinite integral calculator : antiderivative. The antiderivative calculator allows to calculate an antiderivative online with detail and calculation steps.
- Limit calculator : limit. The limit calculator allows the calculation of the limit of a function with the detail and the calculation steps.