Use a calculator or computer to make a table of values of the left and right Riemann sums $L_n$ and $R_n$ for the integral $\int_{0}^{\,2} {e^{-x^2}}\, dx$ with $n = 5, 10, 50, 100$. Make sure your answers are correct to five decimal places.

$L_{5} =$

$L_{10} =$

$L_{50} =$

$L_{100} =$

$R_{5} =$

$R_{10} =$

$R_{50} =$

$R_{100} =$