What is partialfraction (x^3)/(x+1) ?

The solution to partialfraction (x^3)/(x+1) is x^2-x+1-1/(x+1)

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partialfraction (x^3)/(x+1)

partial fractions

\frac{x ^{3}}{x + 1}

x^{2} - x + 1 - \frac{1}{x + 1}

Solution steps

\frac{x ^{3}}{x + 1}

Long division

\frac{x ^{3}}{x + 1} : x^{2} - x + 1 - \frac{1}{x + 1}

= x^{2} - x + 1 - \frac{1}{x + 1}

x^{2} - x + 1 - \frac{1}{x + 1}

\int \frac{1}{x ^{p}} d x

\frac{d}{d x} (- 4 x e^{- 2 x^{2}})

\int \frac{11}{x ^{2} + 1} d x

\int sin (2 x - \frac{π}{2}) d x

\int (a^{2} - x^{2})^{\frac{3}{2}} d x

What is partialfraction (x^3)/(x+1) ?
The solution to partialfraction (x^3)/(x+1) is x^2-x+1-1/(x+1)