3 The goal of this exercise is to approximate the value of the definite integral (2 2 - 1) da using a Riemann sum with left endpoints and 8 subintervals (i.e. using the Riemann sum Lg). a) If you sub-divide the interval |1, 3] into 8 subintervals of equal length Ax, you get 8 subintervals of the form [; _1, ; ] whose union is the interval [1, 3]. Find the endpoints x0 , 1, . . ., g that define these 8 subintervals. FORMATTING: To enter your answer, list the endpoints in the form [:0, 1 , . . ., g] including the square brackets [ ] and a comma (,) between endpoints. The endpoints should be exact numbers, ordered from left to right. Answer: [x0, X] , . . ., g] = [1,1.25, 1.5, 1.75,2,2.25,2.5,2.75,3] b) Compute the exact value of each term t; = f(@;_1)Ax of the Riemann sum Lg. FORMATTING: To enter your answer, list the terms in the form [t, to, . . ., tg] including the square brackets [ ] and a comma (,) between consecutive terms. Each term must be an exact number. Answer: [t1, t2, . . ., tg] = [0.3125,0.375,0.4375,0.5,0.5625,0.625,0.6875,0.75] P c) Compute the value of the Riemann sum Lg. Write your answer with an accuracy of two decimal places. Answer: 7.69