Chapter 6.3, Problem 18E

(a)

To determine

To calculation: The value of the integral ${\displaystyle \underset{0}{\overset{2}{\int }}\frac{1}{\sqrt{1+x^3}}dx},n=4$ by using the Trapezoidal Rule and to approximate the value of the definite integral for the indicated value of n. Round your answers to four decimal places.

(b)

To determine

To calculation: The value of the integral ${\displaystyle \underset{0}{\overset{2}{\int }}\frac{1}{\sqrt{1+x^3}}dx},n=4$ by using the Simpson’s Rule and to approximate the value of the definite integral for the indicated value of n. Round your answers to four decimal places.