Integrability

Calculus Level 1

\[ f(x)=\begin{cases} 0\text{ if } x\text{ is rational}\\\\ 1\text{ if }x\text{ is irrational} \end{cases}\]

Is the function above Riemann integrable on \([0,1]?\)
Is it Lebesgue integrable on \([0,1]?\)