Answer to Question #225470 in Calculus for sbuda

Question

determine the integral of function x^2 -x -6/ x +2 dx

Answer 1

Solve $\int$ ( $x^2 - x - \frac{6}{x} +2$ ) $dx$

using the properties of integral we can write given integral as,

$\implies$ $\int$ $x^2$ $dx$ $-$ $\int$ $x$ $dx$ $-$ $\int$$\frac{6}{x}$ $dx$ + $\int$ 2$dx$

$\implies$ $\frac{x^3}{3} - \frac{x^2}{2} - 6ln|x| + 2x + C$

where $C$ is an integral constant.