Final Problem S [15 pts.] The Riemann sum of f is defined as lim (@Axe, where A is any partition, is any number 14-0 Xi-
Posted: Thu May 12, 2022 2:12 pm
Final Problem S [15 pts.] The Riemann sum of f is defined as lim (@Axe, where A is any partition, is any number 14-0 Xi-1 S 5x, where [X:-1,xis a subinterval, and Ax; = xi - Xi-1. Answer each question below. Use Σ., 1 = η; Σί= πέτη 23), Σ. 12 ) (13(2+1) if needed. (a) [2 pts.] What is the partition of [-1, 1) that fixes the subinterval length? (b) (2 pts.) Describe the ith subinterval [X:-1.*). (e) [2 pts. What is your choice of ? (d) 16 pts. With f() = x, compute the definite integral (.', $(x) dx using the Riemann sum. (©) 13 pts. J Without computing Lixdx, explain why your answer above is correct.