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Q25Section II (Mathematics)25 of 145

∫01x−1/3dx=32\int_0^1x^{-1/3}dx=\tfrac32

The Lebesgue integral of the function f:[0,1]→Rf:[0,1]\to\mathbb{R} defined by f(x)=1/x3f(x)=1/\sqrt[3]x if 0<x≤10<x\le1, f(0)=0f(0)=0 is:

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