Consider the denite integral f: V$2 + :1: + 1d:c (a) Write down but do not evaluate the midpoint rule with n = 6 to approximate this integral. (b) Write down but do not evaluate the trapezoidal rule with n = 6 to approximate this integral. (0) Write down but do not evaluate Simpson's rule with n = 6 to approximate this integral. (d) How many partitions would be needed to approximate this integral with an error of no more than .005 using the Midpoint Rule