Question 164
a) Let $(G, \cdot)$ be an abelian group with $2016$ elements. Prove that there exists $x \in G \setminus \{e\}$ such that $x^{2} = e$ ($e$ is the neutral element of $G$).
b) Compute: $\int \frac{1}{x^{2016} + x} \, dx$, $x \gt 0$.
b) Compute: $\int \frac{1}{x^{2016} + x} \, dx$, $x \gt 0$.