Let <x> = d(x,Z), i.e., the distance x is to the nearest integer. It is well known that S₀^∞ <10ⁿx>/10ⁿ represents a continuous, nowhere differentiable function which has a period of 1. Find the area under the curve on the interval [0,1]. And find the maximum of the curve, and all x-values where the maximum occurs on [0,1].

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