Evaluate the riemann sum for f(x) = 3x − 1, −6 ≤ x ≤ 4, with five subintervals, taking the sample points to be right endpoints.

The Riemann sum equals -10.

Step-by-step explanation:

The right Riemann Sum uses the right endpoints of a sub-interval:

where

To find the Riemann sum for with n = 5 rectangles, using right endpoints you must:

We know that a = -6, b = 4 and n = 5, so

We need to divide the interval −6 ≤ x ≤ 4 into n = 5 sub-intervals of length

Now, we just evaluate the function at the right endpoints:

Finally, just sum up the above values and multiply by 2

The Riemann sum equals -10

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step-by-step explanation:

this is a parabola.