Left-hand and Right-hand Riemann Sums

Question

Use the given information to find the left- and right-hand Riemann sums for the following function. If necessary, round your answers to five decimal places. 

, , and 

Left-Hand Riemann Sum   = 

Right-Hand Riemann Sum =

Answer 1

Δx = (4 - (-1)) / 13 = 5/13

Left sum = (5/13)[f(-1) + f(-1 + 5/13) + f(-1 + 2(5/13)) + ... + f(-1 + 12(5/13)]

Right sum = (5/13)[f(-1 + 5/13) + f(-1 + 2(5/13)) + f(-1 + 3(5/13)) + ... + f(4)]