Answer:
-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