If int(dx)/((x^(2)+x+1)^(2))=atan^(-1)((...

If `int(dx)/((x^(2)+x+1)^(2))=atan^(-1)((2x+1)/(sqrt(3)))+b((2x+1)/(x^(2)+x+1))+C`, `x gt 0` where C is the constant of integration, then the value of `9(sqrt(3)a+b)` is equal to __________.

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