Find the approximations Ln, Rn, Tn, and Mn for n = 5, 10, and 20. Then compute the corresponding errors EL, ER, ET, and EM. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.)

(lim1→2)∫ 10 x² /dx

(a) What observations can you make? In particular, what happens to the errors when n is doubled?

(b) As n is doubled, EL and ER are decreased by a factor of about , and ET and EM are decreased by a factor of about .