Question

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

(a) Find the Riemann sum for

f(x) = 3 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 =

Express the limit as a definite integral on the given interval.

lim n → ∞

n
7xi* + (xi*)2
Δx, [3, 8]
i = 1
8
dx
3


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