Question: Evaluate the upper and lower sums for f(x) = 1 + cos(x/2) 2 x with n = 3, 4, and 6. Illustrate

Evaluate the upper and lower sums for

f(x) = 1 + cos(x/2)    2π ≤ x ≤ π

with n = 3, 4, and 6. Illustrate with diagrams like Figure 14.

y 0 a b X

(a) Lower sums

(b) Upper sums

(c) Upper and lower sums

y 0 a b X

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