Find the anti-derivative of $LaTeX: \displaystyle f(x) = 7 x^{4} + 6 x^{3} + 2 x^{2} - 2 x - 1$ .

Using the power rule on each term gives $LaTeX: \displaystyle F(x) = \frac{7 x^{5}}{5} + \frac{3 x^{4}}{2} + \frac{2 x^{3}}{3} - x^{2} - x + C$