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(a) Estimate the area under the graph of f(x) = 4 cos(x) from x = 0...

(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.)
R4 = 3.1631

Sketch the graph and the rectangles.


Is your estimate an underestimate or an overestimate?

underestimateoverestimate    


(b) Repeat part (a) using left endpoints.
L4 = 4.7339

Sketch the graph and the rectangles.


Is your estimate an underestimate or an overestimate?

underestimateoverestimate    

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