Indefinite Integrals

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