$\int \frac{3x^2+\mathrm{2x}-1}{x^2}\mathrm{dx}=\int \left(\frac{3x^2}{x^2}+\frac{2x}{x^2}-\frac{1}{x^2}\right)\mathrm{dx}=\int \left(3+\frac{2}{x}-\frac{1}{x^2}\right)\mathrm{dx}=3x+2\phantom{.}\ln \left|x\right|+\frac{1}{x}+C$