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))`