A quadratic function $f(x)$ with leading coefficient 1 satisfies $f(3) = 0$ and $$\int_{0}^{2013} f(x)\, dx = \int_{3}^{2013} f(x)\, dx$$ If the area enclosed by the curve $y = f(x)$ and the $x$-axis is $S$, find the value of $30S$. [4 points]
A quadratic function $f(x)$ with leading coefficient 1 satisfies $f(3) = 0$ and
$$\int_{0}^{2013} f(x)\, dx = \int_{3}^{2013} f(x)\, dx$$
If the area enclosed by the curve $y = f(x)$ and the $x$-axis is $S$, find the value of $30S$. [4 points]