Problem 1 Use the RIEMANN program to approximate LZBxZa'x. Set Y1 = 3X2 , A = 0, B = 2, and N = 10. Get the following: L10 : 6.84, R10 : 9.24, Tm : 8.04, M10 : 7.98, S20 : 8. Note that to nd Sm , you take N = 5. To get a better approximation of the integral, you increase the number of partitions N. 2 Fill in the following table to approximate the integral In 3x2dr: (answers correct to 6 decimal places) --_-E_\" 10 6.84 9.24 8.04 7.98 20 ------ 80 2 Given that L) 3x2dx : 8 and using the table above, Which method gave the best approximations? Which value of N gave the best approximations? Which method(s) gave an underestimate of the integral? Which method(s) gave an overestimate of the integral