Let's use a Riemann sum to first approximate and then exactly compute the area under the curve y= 3 from z = 0 to z = 1 (a) In the image below, we construct four equal-width rectangular blocks to approximate the area under the curve. The heights of these blocks are determined by evaluating the function at the location of the right endpoint of the interval on which each block sits. For example, the first block sits on the interval (0, ) so has height 64 Determine the total area of the four rectangular blocks shown. (Your answer should be exact.) Number (b) Part (a) gives an approximation of the area under the curve. To compute the area exactly we generalize the above calculation to use n blocks each with width equal to 1. The right endpoint of the i-th block sits atthat is, i block-widths from z 0). It therefore has height equal to f(i/n) ( The total area using n blocks is then given by the Riemann sum: 3n(n+1) The final sum can be simplified using the formula Σ Make this simplification and then take the limit as n â oo to determine the exact area under the curve y = z3 from z =0 to z = 1 A=lim Rn-Number . - i=1