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Integral dx/ (x2 + x + 1).\(\int\frac{dx}{x^2+x+1}\) |
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Answer» \(\int\frac{dx}{x^2+x+1}=\int\cfrac{dx}{((x + \frac12)^2+\frac34)}\) \(=\cfrac{1}{\frac{\sqrt3}2}tan^{-1}\left(\cfrac{x+\frac12}{\frac{\sqrt3}2}\right)+c\) \(=\frac2{\sqrt3}tan^{-1}(\frac{2x+1}{\sqrt3})+c\) |
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