Chapter 21, Problem 6P

Integrate the following function both analytically and numerically.Use both the trapezoidal and Simpson's1/3rules to numerically in tegrate the function. For both cases, use the multiple-application version, with n = 4. Compute percent relative errors for the numerical results.

${\displaystyle {\int }_0^3{x}^2{e}^{x}dx}$