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Let f(x) = {{:(1-x ,"If" 0 le x le 1),(0...

Let `f(x) = {{:(1-x ,"If" 0 le x le 1),(0, "if" 1 lt x le 2),((2-x)^(2),"if"2 lt x le 3):}` and function `F(x) = int_(0)^(x)f(t) dt`. If number of points of discountinuity in [0,3] and non-differentiablity in (0,2) and `F(x)` are `alpha` and `beta` respectively , then `(alpha - beta)` is equal to .

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