Chapter 5.6, Problem 29E

(a)

To determine

To calculate: The error in the approximation of definite integral ${\displaystyle \underset{1}{\overset{3}{\int }}\frac{1}{x}}dx$ is less than or equal to the $0.00001$ by using the trapezoidal rule.

(b)

To determine

To calculate: The error in the approximation of definite integral ${\displaystyle \underset{1}{\overset{3}{\int }}\frac{1}{x}}dx$ is less than or equal to the $0.00001$ by using the Simpson’s rule.