[Geogebra Question] Build using several Riemann sums and compare with the exact result. [Ebook page 420] 1 [Ebook page 431] [Ebook page 443] (3 + 5x)2 dx 2 3 x 4+xdx (x2 1)(x3 3x + 2)3 dx approximations to the definite integral 2 0 (x2 + 1) dx (a) Define the given function x2 + 1. Graph of the function is shown automatically on the plot area. You can "swich off" the graph using circular button on the left from the input line. Similar switching buttons are present for all graphs and plots you create in Geogebra. (b) You will use the command Rectangle Sumx2 + 1, 0, 2, n, 1 to calculate and vi- 2 visualize the Riemann sum in the case when the interval [0,2] is divided into n subintervals. The last argument 12 in the brackets instructs the command to use middle points of subintervals in calculations of values of the function. The command Rectangle Sun produces both numerical value of the Riemann sum and a plot of the rectangles. (c) Use the command RectangleSx2 + 1, 0, 2, 5, 1 to obtain numerical values 2 of the Riemann sums with 5 subintervals. To facilitate comparison, present numerical values as decimals. (d) Use the command Integral(x2 + 1, 0, 2) to calculate exact value of the definite integral. Present numerical value as a decimal. Save a screenshot of your calcu- lations in (a)-(d) and submit it for your assignment.