Find the anti-derivative of $LaTeX: \displaystyle f(x) = \frac{6 x^{3} + 5 x^{2} - 9 x - 7}{x^{2}}$

Using termwise division gives $LaTeX: \displaystyle f(x) = 6 x + 5 - \frac{9}{x} - \frac{7}{x^{2}}$ . Finding the antiderivative of each term gives $LaTeX: \displaystyle F(x) = 3 x^{2} + 5 x - 9 \ln{\left(x \right)} + \frac{7}{x} + C$