The course notes discuss right- and left-hand Reimann sums. Consider now the midpoint Riemann sum defined by M, = > f(xx;)Ax, where x; = 3(x1-1 + x;). Consider i=1 IN 1= (2x + x?) dx. 20 a. Find My and use the midpoint Riemann sum to show that I = 3 b. What is the minimum number of intervals that are required so that M ,, is within E units from I (where E E R, E > 0)? Use your results to determine the number of intervals required so that |M ,, - I|