Where was my mistake (integration by trig-substitution problem)? – math.stackexchange.com

I am attempting to solve the problem $$\int \frac{dx}{x^2+x+1}$$ First, I complete the square, then factor out a $\frac {3}{4}$: $$\int \frac{dx}{\frac{3}{4}(\frac{4}{3}(x+\frac{1}{2})^2+1)}$$ Let ...

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