Find the anti-derivative of $LaTeX: \displaystyle f(x) = 8 x^{3} - 4 x^{2} - 9 x - 4$ .

Using the power rule on each term gives $LaTeX: \displaystyle F(x) = 2 x^{4} - \frac{4 x^{3}}{3} - \frac{9 x^{2}}{2} - 4 x + C$