If the area of the region (x, y) : |4-x^2| y x^2, y 4, x 0 is ( 80 2 - ), α, β ∈ N, then α + β is equal to...

Question

If the area of the region (x, y) : |4-x^2| y x^2, y 4, x 0 is ( 80 2 - ), α, β ∈ N, then α + β is equal to ______.

Accepted Answer

22

JEE Main 2025 Mathematics question