(a) Estimate the area under the graph of f(x)
= 4 cos(x) from x = 0 to x =
π/2 using four approximating rectangles and right
endpoints. (Round your answers to four decimal places.)
R_{4} = 3.1631
Sketch the graph and the rectangles.

Is your estimate an underestimate or an overestimate?
underestimateoverestimate
(b) Repeat part (a) using left endpoints.
L_{4} = 4.7339
Sketch the graph and the rectangles.

Is your estimate an underestimate or an overestimate?
underestimateoverestimate
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