A polynomial function $f(x)$ satisfies $$\int_{0}^{x} f(t)\, dt = 3x^{3} + 2x$$ for all real numbers $x$. What is the value of $f(1)$? [3 points] (1) 7 (2) 9 (3) 11 (4) 13 (5) 15
A polynomial function $f(x)$ satisfies
$$\int_{0}^{x} f(t)\, dt = 3x^{3} + 2x$$
for all real numbers $x$. What is the value of $f(1)$? [3 points]\\
(1) 7\\
(2) 9\\
(3) 11\\
(4) 13\\
(5) 15