.4 1 2) Consider the definite integral (3 /= ·dt. (a) By dividing the interval [3,4] into n equal parts and choosing suitable sample points, show that 1 n 1 4 n- -1 1 < 3n+i L = dt < Σ 3n+i i=1 i=0 (b) How large should n be to make sure that any of the sums in part (a) approximates an error of at most 1? 1000 4 L 1 dt with 3 (Hint: what is the difference between the overestimate and the underestimate in part (a)?)