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  1. MHB Apprentice

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    #1
    How may one show that,

    $$\int_{0}^{4\pi}\sin\left({x\over 2}\right)\sin\left({x\over 4}\right)\ln^2\left[\sin\left({x\over 8}\right)\right]\mathrm dx={\pi\over 9}[12\ln (2)-1]$$

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