Answer to Question #54156 in Real Analysis for fik

Question #54156

Let C is a subset of [0,1] be the cantor set and let f: [0,1]→[0,∞) be given by f(x)=0 on C and f(x)=n, in each complementary interval of length 3^(-n) show that f is lebesgue measurable and compute ∫_0^1▒〖f(x)〗dx

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