Question

Each of the following parts relates to finding the area underneath the curve , from x = 1 to x = 3.

D. Set up, but do not solve, the Riemann Sum which expresses the exact area underneath the curve.

Answer 1

CORRECTION:
Each of the following parts relates to finding the area underneath the curve , y = x^3 from x = 1 to x = 3.

D. Set up, but do not solve, the Riemann Sum which expresses the exact area underneath the curve.

Thanks.

Answer 2

The interval has width 2, so if there are n rectangles in the sum,
the width of each is 2/n
using right endpoints, xk = 1+(2/n)*k

          n
lim     ∑(1+(2/n)*k)^3 (2/n)
n->∞   k=1