Question

integral de x³-x²-2x/4x-2​

Answer 1

Es ese el resultado (x-2)

Answer 2

x³-x²-2x/4x-2​

$\frac{x^3-x^2-2x}{4x-2}$

Dividimos:

$=\frac{x^2}{4}+\frac{-\frac{x^2}{2}-2x}{4x-2}$

$=\frac{x^2}{4}-\frac{x}{8}+\frac{-\frac{9x}{4}}{4x-2}$

$=\frac{x^2}{4}-\frac{x}{8}-\frac{9}{16}+\frac{-\frac{9}{8}}{4x-2}$

Simplificamos:

$=\frac{x^2}{4}-\frac{x}{8}-\frac{9}{16}-\frac{9}{8\left(4x-2\right)}$

$\boxed{Resultado}$

$\frac{x^2}{4}-\frac{x}{8}-\frac{9}{16}-\frac{9}{8\left(4x-2\right)}$