3 Consider the problem of calculating the integrals .ch Yn = s dc 0 C + 10 for n = 1, 2, ..., 30. As seen in class, the iterations 1 Yn = 10yn-1 n give a numerically unstable procedure for carrying out this task. (a) Derive a formula for approximately computing these integrals based on evaluating Yn-1 given yn (b) Show that for any given e > 0 and positive integer no, there exists an integer ni > no such that taking Yn = 0 as a starting value will produce integral evaluations Yn with an absolute error smaller than e for all 0)