Approximate 1 = ₁²(e) 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 = Se 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).