Draw the graph of f(x) = sin (x2/2) in the viewing rectangle [0, 1] by [0, 0.5]

Question:

Draw the graph of f(x) = sin (x2/2) in the viewing rectangle [0, 1] by [0, 0.5] and let l = ∫1 f(x) dx.
(a) Use the graph to decide whether L2, R2, M2, and T2 underestimate or overestimate l.
(b) For any value of n, list the numbers and in increasing order.
(c) Compute L5, R5, M5, and T5. From the graph, which do you think gives the best estimate of l?