Chapter 21, Problem 13P

The function $f\left(x\right)=2e^{-1.5x}$ can be used to generate the following table of unequally spaced data:

x	0	0.05	0.15	0.25	0.35	0.475	0.6
$f\left(x\right)$	2	1.8555	1.5970	1.3746	1.1831	0.9808	0.8131

Evaluate the integral from $a=0$ to $b=0.6$ using

(a) Analytical means

(b) The trapezoidal rule, and

(c) A combination of the trapezoidal and Simpson's rules; employ Simpson's rules where ver possible to obtain the highest accuracy. For (b) and (c), compute the percent relative error $\left({\epsilon }_t\right)$.