Trapezoidal and Simpsons Rule

Know: Write down the trapezoidal and the Simpsons Rule

Use the information in question $12$ to find the approximation of ${\displaystyle \underset{1}{\overset{3}{}}}{x}^2{e}^{x}dx$

a$)$ Using $n=5$ and Trapezoidal rule

b$)$ Using $n=6$ and Simpson's rule