2 22 _ 3. Suppose we want to compute / (e x)dz. You can check that this cannot be done 0 analytically. Therefore, we can use approximate methods. (a) Use the Riemann sum method the find the value of the integral. For our problem, we will divide the interval [0, 2] into 5 sub-intervals and use the (i) right endpoints, (ii) left endpoints and (iii) the midpoints of each sub-interval to approximate the area under the curve. [The figures above illustrates the method using 4 equal sized sub-intervals. In each case the area under the curve is approximated by the sum of the area of the 4 colored rectangles. The width of the rectangles is the length of the sub-interval (in this case 2/4 = 0.5). However, the height of the rectangles are computed differently in each figure. The height of each of the rectangles is the function value at the left endpoint (left figure), midpoint (middle figure) and right endpoint (right figure) of the of the sub- intervals.] (b) Use the 4th order MacLaurin approximation (let's call it A/ (z)) to approximate the integral by integrating M (z) instead of the function