Chapter 22, Problem 10P

Develop a user-friendly computer program for the multiple-segment

(a) Trapezoidal and

(b) Simpson's 1/3 rule based on Fig. 22.1. Test it by integrating

${\displaystyle {\int }_0^1{x}^{0.1}\left(1.2-x\right)}\left(1-e^{20\left(x-1\right)}\right)dx$

Use the true value of 0.602298 to compute ${\epsilon }_t$ for $n=4$.