JEE Main 202621 Jan, Evening shiftMathematicsEasyIntegral Calculus369× since 2002If the area of the region {(x,y):1−2x≤y≤4−x2,x≥0,y≥0}\{(x, y) : 1-2x\le y\le 4-x^2, x\ge 0, y\ge 0\}{(x,y):1−2x≤y≤4−x2,x≥0,y≥0} is αβ\frac{\alpha}{\beta}βα, α,β∈N\alpha, \beta\in\mathbf{N}α,β∈N, gcd(α,β)=1\gcd(\alpha, \beta)=1gcd(α,β)=1, then the value of (α+β)(\alpha+\beta)(α+β) is :AOption A. 91BOption B. 67COption C. 85DOption D. 73CheckSkip · show solution
