Question

If the area of the region $S={(x,y) : 2y-y^2 ≤ x^2 ≤ 2y, x ≥ y}$ is equal to $\frac{ n+2}{n+1}−\frac{π}{n−1}$, then the natural number n is equal to _____.

Answer 1

The correct answer is: 5