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Question Number 104927 by bobhans last updated on 24/Jul/20

$$\int \frac{dx}{1+x+x^2}$$

Answered by Dwaipayan Shikari last updated on 24/Jul/20

$$\int \frac{dx}{{(x+\frac{1}{2})}^2+{\left(\frac{\sqrt{3}}{2}\right)}^2}=\frac{2}{\sqrt{3}}{tan}^{-1}\frac{2x+1}{\sqrt{3}}+C$$

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