For the function $f(x) = 3x^{2} - 16x - 20$, $$\int_{-2}^{a} f(x)\, dx = \int_{-2}^{0} f(x)\, dx$$ When this condition is satisfied, what is the value of the positive number $a$? [4 points] (1) 16 (2) 14 (3) 12 (4) 10 (5) 8
For the function $f(x) = 3x^{2} - 16x - 20$,
$$\int_{-2}^{a} f(x)\, dx = \int_{-2}^{0} f(x)\, dx$$
When this condition is satisfied, what is the value of the positive number $a$? [4 points]\\
(1) 16\\
(2) 14\\
(3) 12\\
(4) 10\\
(5) 8