Question: Advanced Calculus question 3. Define f : [-1, 1] x [0, 1] - R by f(x,y) = 0 if x / 0, f(0, y) =

Advanced Calculus question

3. Define f : [-1, 1] x [0, 1] - R by f(x,y) = 0 if x / 0, f(0, y) = 1 ify E Q, and f(0, y) = 0 if y & Q. Show that f is integrable. Note, this example shows that we need the upper (or lower) integral in Fubini's theorem

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