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  3. (a) find the riemann sum for f(x) = 4 sin(x), 0 â

(a) Find the Riemann sum for f(x) = 4 sin(x), 0 ≤ x ≤ 3π/2, with six terms, taking...

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Advance Math

(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) ≤

bf(x) dx
a

≤ M(b − a).

Use this property to estimate the value of the integral.

44
x
dx
0
  (smaller value)
  (larger value)


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