Q$\mathrm{.}1)$ Integrate the function ${\displaystyle \underset{0}{\overset{1\mathrm{.}2}{}}}{e}^{x}dx$ taking $n=6$ using:

a$)$ Trapezoidal rule up to three significant digits

b$)$ Simpson's $\frac{1}{3}$ rule up to five significant digits

c$)$ Simpson's $\frac{3}{8}$ rule taking seven orders.