Question: Let f : [0, 1] [0, 1] R be defined by f(x, y) = (1 if y = x^2 , 0 if y =/= x^2)

Let f : [0, 1] [0, 1] R be defined by

f(x, y) = (1 if y = x^2 , 0 if y =/= x^2) .

Show that f is integrable on [0, 1] [0, 1].

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