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

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