If ∫dx(x2+x+1)2=atan−1(2x+1√3)+b(2x+1x2+x+1)+C, x>0 where C is t – InterviewSolution

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1.	If ∫dx(x2+x+1)2=atan−1(2x+1√3)+b(2x+1x2+x+1)+C, x>0 where C is the constant of integration, then the value of 9(√3a+b) is equal to
Answer» If $\int \frac{d x}{(x^{2} + x + 1)^{2}} = a {tan}^{- 1} (\frac{2 x + 1}{\sqrt{3}}) + b (\frac{2 x + 1}{x^{2} + x + 1}) + C$ , $x > 0$ where $C$ is the constant of integration, then the value of $9 (\sqrt{3} a + b)$ is equal to

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