$\int_0^{\pi/6} \log\bigl(1 - \tfrac{1}{4\cos^2\theta}\bigr)\,d\theta = -\sqrt3\,L(2,\chi_{-3})/8$

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$\int_0^{\pi/6} \log\bigl(1 - \tfrac{1}{4\cos^2\theta}\bigr)\,d\theta = -\sqrt3\,L(2,\chi_{-3})/8$ · Prove2Me