Question: For every one-dimensional set C for which the integral exists, let Q(C) = C f(x) dx, where f(x) = 6x(1 x), 0 <

For every one-dimensional set C for which the integral exists, let Q(C) = ∫_C f(x) dx, where f(x) = 6x(1 − x), 0 < x < 1, zero elsewhere; otherwise, let Q(C) be undefined. If C₁ = {x : 1/4 < x < 3/4 }, C₂ = {1/2}, and C₃ = {x : 0 < x < 10}, find Q(C₁),Q(C₂), and Q(C₃).

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