(a) Find the Riemann sum for
f(x) = 4sin(x), 0 ≤ x ≤3π/2,
with six terms, taking the sample points to be right endpoints.(Round your answers to six decimal places.)
R6 =
(b) Repeat part (a) with midpoints as the sample points.
M6 =
If m ≤ f(x) ≤ M fora ≤ x ≤ b, where m is theabsolute minimum and M is the absolute maximum off on the interval [a, b], then
m(b − a) ≤
≤ M(b − a).
Use this property to estimate the value of the integral.
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