Given function f(x) = e*, we study different numerical approximations to the integral 0.8 Loo f(x)...

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Given function f(x) = e*, we study different numerical approximations to the integral 0.8 Loo f(x) dr. We will use the values of f(x) at the points 0.0, 0.2, 0.4, 0.6, 0.8. Generate the data set before you start the numerical integration. Use 6-digits accuracy. a). Write out the trapezoid rule and compute the numerical integration with 6 digits. b). Write out the Simpson's rule and compute the numerical integration with 6 digits. Given function f(x) = e*, we study different numerical approximations to the integral 0.8 Loo f(x) dr. We will use the values of f(x) at the points 0.0, 0.2, 0.4, 0.6, 0.8. Generate the data set before you start the numerical integration. Use 6-digits accuracy. a). Write out the trapezoid rule and compute the numerical integration with 6 digits. b). Write out the Simpson's rule and compute the numerical integration with 6 digits.