Let

f : [a, b]--->R be bounded. Prove or disprove: if $\displaystyle f^{2}$ is Riemann integrable on [a, b] then f is Riemann integrable on [a, b].

I have a set of theorems in my notes but I can't find the correct one to apply to the above problem.

if $\displaystyle f^{2}$ is Riemann integrable on [a, b] then f is has also Riemann integrable on [a,b] correct? How do i prove this?

thanks for any help.