Show that the function f(x) = o, when x is rational and 1, when x is irrational is not R-Integrable.

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

Show that f is not R-integrable . Let f(x)={cos x, if x is rational and sin x, if x is irrational

f(x)=(sin x: x is rational) (cos x: x is irrational),then the function is not Riemann integral

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