(integral of 4*x log(4*x) from 0 to 1/2)+(integral of 4*(1-x) log(4*(1-x)) from 1/2 to 1)(integral of 4*x log(4*x) from 0 to 1/2)+(integral of 4*(1-x) log(4*(1-x)) from 1/2 to 1)

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