Evaluate the Riemann sum for f(x) = 3 - 1/2 times x between 2 and 14 where the endpoints are included with six subintervals taking the sample points to be the left endpoints. Explain, with aid of a diagram, what the Riemann sum represents.

-6

Step-by-step explanation:

Given that :

we are to evaluate the Riemann sum for from 2 ≤ x ≤ 14

where the endpoints are included with six subintervals, taking the sample points to be the left endpoints.

The Riemann sum can be computed as follows:

where:

a = 2

b =14

n = 6

∴

Hence;

Here, we are  using left end-points, then:

Replacing it into Riemann equation;

Estimating the integrals, we have :

= 6n - n(n+1)

replacing thevalue of n = 6 (i.e the sub interval number), we have:

= 6(6) - 6(6+1)

= 36 - 36 -6

= -6

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step-by-step explanation: