Question

In: Advanced Math

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

(a) Find the Riemann sum for

f(x) = 4 sin(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 mf(x) ≤ M for axb, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then

m(b − a) ≤

b f(x) dx
a

≤ M(b − a).

Use this property to estimate the value of the integral.

4 4
x
dx
0
  (smaller value)
  (larger value)


Solutions

Expert Solution

NOTE:- Integral is not proper written for part (c)


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