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

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