3. . Consider the denite integral fol (1 :c2) dx. Calculate upper and lower bounds for the denite integral using upper and lower Riemann sums with 4 equally spaced subintervals. Use the Fundamental Theorem of Calculus Part II to evaluate the denite integral /01 (1132) das. (a) Determine the upper Riemann sum for the denite integral /01(1J32)d.'13 with N equally spaced subintervals, expressing it in summation notation. (b) What is the minimum number of equally spaced subintervals needed such that the difference between the upper and lower Riemann sum estimates for this denite integral is less than 0.1? (0) Consider the limit as N > 00 to evaluate the denite integral. You may use the N N N 1 2N 1 result 2192 = ( + )( + ) k=1 6