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Area Under the Curves question

2023 · 6 Apr · Shift 1 · Q37
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  5. /2023 · 6 Apr · Shift 1 · Q37

Area Under the Curves question

2023 · 6 Apr · Shift 1 · Q37

JEE MainMathematicsArea Under the CurvesNumerical+4 / −1
If 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 ‾\underline{\hspace{2cm}}​.
Numerical answer
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