If $g$ is Riemann integrable on $[a,b]$ and $f(x)=g(x)$ except for a finite number of points in $[a,b]$, then

 (a) $f$ is Riemann integrable and $\int_a^b f(x)\,dx=\int_a^b g(x)\,dx$

 (b) $f$ is Riemann integrable and $\int_a^b f(x)\,dx<\int_a^b g(x)\,dx$ 

 (c) $f$ is Riemann\text{-}integrable and $\int_a^b f(x)\,dx>\int_a^b g(x)\,dx$

 (d) $f$ is not Riemann\text{-}integrable