Solution
= Solution
\b[False without continuity.] The <function> equal to $1$ at one point and $0$ elsewhere is nonnegative, Riemann integrable with <integral> $0$, but is not identically zero.
= Solution
\b[False without continuity.] The <function> equal to $1$ at one point and $0$ elsewhere is nonnegative, Riemann integrable with <integral> $0$, but is not identically zero.