Consider the function f(x)= on the interval 0 x 2. (a) Sketch the graph of y = f(x) with n = 4 rectangles on the interval [0, 2] using a right endpoint approximation. Calculate the value of R. Do you think this is an overestimate (too high) or an underestimate (too low) of the true value of the area under the graph on this interval? Why? (b) Sketch the graph of y = f(r) on the interval [0, 2] again, but this time with n = 5 rectangles using a left endpoint approximation. Calculate the value of L5. Do you think this is an overestimate or an underestimate of the true area under the graph on this interval? Why? (c) Find and simplify the expression for R, in terms of n. You will find the following formula useful: n (n + 1) 4 (d) Find the exact value of fff(x)de by calculating the limit of R, as n goes to infinity.