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

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