function f(x)=1 , x is rational ∧ f(x)=0 , x is irrational is not Integrable on [0,1] ,Real Analysis

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today and explain concept of
function f(x) is not integrable on [0,1].
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Mam f(x) = x^2 is integrable on any interval [ 0, k ] and [ 0, 1 ] also . how we can make partition.

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