Using Reimann sum in the limit of infinite many rectangles of (x-2)^3 in the interval [0,4]

Question

compute (x-2)^3  with the definite integral from 0 to 4..

Answer 1

The definite integral is the limit of a sequence of Reimann sums, where we can

choose any evalution points we wish.It is usually easiest to write out the formula

using right end points, as we do here.

In this case

And so on ,we then have

The Riemann sum is then