4. (20 pts) Approximate I = Jo e z ) dx a.) (4 pts) Using Rieman Sum for a length of the subinterval which is Ax = 0.125 (solve by hand). Note that ci value should be choosen as the left edge of each subinterval. b.) (4 pts) Using four-segment Trapezoidal Rule. (solve by hand) c.) (4 pts) Using four-segment Simpson's 1/3rd Rule. (solve by hand) d.)(4 pts) Using the cummulative standart normal distribution table given in the Probability and Statistical course. Compare your results obtained in the parts a , b, c and d. e.) (4 pts) Implement the Simpson's rule in Matlab. Calculate I = 2 2 So (VET 2 ) dx using this algorithm. Perform your calculations for three different segment values(n) such as 2, 4 and 6. Show your result in a table by giving Number of segment(n), Approximate value(Av)