The function
f (x) = 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(x) | 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 wherever possible to attain the highest accuracy. For (b) and (c), compute the percent relative error.
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