(a) Use a calculator or computer to make a table of values of right Riemann sums $R_n$ for the integral $\int^{\,\pi}_{0} {\sin(x)}\, dx$ with $n = 5, 10, 50, 100$. Make sure your answer is correct to five decimal places.

$R_{5} =$

$R_{10} =$

$R_{50} =$

$R_{100} =$

(b) What value do these numbers appear to be approaching as $n$ increases?

Value =