Calculate 𝑅5 calculus

Question

Calculate 𝑅5 for 𝑓(𝑥)=3𝑥^2+8𝑥 over [−1,1].

Answer 1

I assume that R5 means the Riemann Sum with right endpoints and 5 equal subintervals.

Δx = width of each subinterval = [1 - (-1)] / 5 = 2/5

Let f(x) = 3x² + 8x

Then R5 = f(-3/5)(2/5) + f(-1/5)(2/5) + f(1/5)(2/5) + f(3/5)(2/5) + f(1)(2/5)

Do the calculations to get the answer.

Answer 2

What is R5 of a function f(x)?