Answer:
[tex]\int\limits{\frac{3x^4 + 2x^2 - x + 8}{x^2}} \, dx \\\\= \int\limits{3x^2 + 2 - \frac{1}{x} + \frac{8}{x^2}} \, dx \\\\= x^3 + 2x - ln(|x|) -\frac{8}{x} + C[/tex]