1B. The function $f: \mathbb{R} \rightarrow \mathbb{R}$ is defined by

$$
f(x)=\frac{1}{\sqrt[3]{x^{2}+2 x+1}+\sqrt[3]{x^{2}-1}+\sqrt[3]{x^{2}-2 x+1}}, x \in \mathbb{R}
$$

Calculate

$$
f(1)+f(2)+f(3)+\ldots+f(2016) .
$$