Chapter 8.6, Problem 28E

(a)

To determine

To calculate: Errors in approximating the integral ${\displaystyle {\int }_0^1{e}^{x^3}dx}$ using Trapezoidal rule for $n=4$.

(b)

To determine

To calculate: Errors in approximating the integral ${\displaystyle {\int }_0^1{e}^{x^3}dx}$ using Simpson’s rule for $n=4$.