Chapter 5.3, Problem 1E

Apply Romberg Integration to find $R_{33}$ for the integrals.

1. ${\displaystyle {\int }_0^1{x}^{2}dx}$
2. ${\displaystyle {\int }_0^{\pi /2}\cos xdx}$
3. ${\displaystyle {\int }_0^1{e}^{x}dx}$