If  \int \frac{\mathrm{d} x}{\left(x^{2}+x+1\right)^{2}}=\mathrm{a} \tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)+\mathrm{b}\left(\frac{2 x+1}{x^{2}+x+1}\right)+\mathrm{C}, x>0$ where $\mathrm{C} is the constant of integration, then the value of 9(\sqrt{3} a+b) is equal to__________.
 

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