Find the anti-derivative of $LaTeX: \displaystyle f(x) = \frac{- 6 x^{3} - 5 x^{2} + 8 x - 4}{x^{2}}$

Using termwise division gives $LaTeX: \displaystyle f(x) = - 6 x - 5 + \frac{8}{x} - \frac{4}{x^{2}}$ . Finding the antiderivative of each term gives $LaTeX: \displaystyle F(x) = - 3 x^{2} - 5 x + 8 \ln{\left(x \right)} + \frac{4}{x} + C$