In: Math
Sketchthegraphofthefunctiony=20x−x2 from x=0 to x=20.
• Next, with five equal intervals (i.e. with n = 5), compute the trape- zoidal, T , and Simpson’s rule S, estimates for the following integral J= integral 0 to 20 (20x−x^2)dx.
• Finally compute the exact value of the integral J . • Compare the exact value with the your estimates T and S and discuss.