Find the anti-derivative of $LaTeX: \displaystyle f(x) = \frac{- 7 x^{3} + 4 x^{2} + 9 x + 4}{x^{2}}$

Using termwise division gives $LaTeX: \displaystyle f(x) = - 7 x + 4 + \frac{9}{x} + \frac{4}{x^{2}}$ . Finding the antiderivative of each term gives $LaTeX: \displaystyle F(x) = - \frac{7 x^{2}}{2} + 4 x + 9 \ln{\left(x \right)} - \frac{4}{x} + C$