Consider the integral 13 2ar 1 dar a Find the Riemann sum fo

Consider the integral 13 (2ar 1) dar (a Find the Riemann sum for this integral using left endpoints and n 34. (b) Find the Riemann sum for this same integral using right endpoints and n 4.

Solution

L4 = (13-5)/4 (f(5) + f(7) + f(9) + f(11)) =

2(66 + 120 + 190 + 276) = 1304

R4 = (13-5)/4 (f(7) + f(9) + f(11) + f(13)) =

2(120 + 190 + 276 + 378) = 1928