Let f(x) = ∫ⅆ𝒙/((𝟑+𝟒𝒙^𝟐 ) √(𝟒−𝟑𝒙^𝟐 )) ,| If f(0) = 0 and f(1)= 1/𝛼𝛽 tan^(−1)⁡(𝛼/𝛽) , then 𝛼^2+𝛽^