JEE Main 20236 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002If the area of the region S={(x,y):2y−y2≤x2≤2y,x≥y}S=\left\{(x, y): 2 y-y^{2} \leq x^{2} \leq 2 y, x \geq y\right\}S={(x,y):2y−y2≤x2≤2y,x≥y} is equal to n+2n+1−πn−1\frac{n+2}{n+1}-\frac{\pi}{n-1}n+1n+2−n−1π, then the natural number nnn is equal to ___________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution