Chapter 7.7, Problem 12E

$\left(a\right)$

To determine

To Approximate: The integral ${\displaystyle \underset{1}{\overset{3}{\int }}{e}^{\frac{1}{x}}dx}$ using the using the trapezoidal rule with $n=8$ .

$\left(b\right)$

To determine

To Approximate: The integral ${\displaystyle \underset{1}{\overset{3}{\int }}{e}^{\frac{1}{x}}dx}$ using the mid-point rule with $n=8$ .

$\left(c\right)$

To determine

To Approximate: The integral ${\displaystyle \underset{1}{\overset{3}{\int }}{e}^{\frac{1}{x}}dx}$ using the using the Simpson’s rule with $n=8$ .