The function f(x) = 2e-1.5x can be used to generate the following table of unequally spaced data: Evaluate the integral from = 0 to

The function f(x) = 2e-1.5x can be used to generate the following table of unequally spaced data:

Evaluate the integral from α = 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 wherever possible to obtain the highest accuracy. For (b) and (c), compute the percent relative error(εl).

0.05 0.15 0.25 f(x) 2 1 8555 1.5970 1.3746 1.1831 0.98OS 0.8131 0.35 0.475 0.6