Suppose f is continuous on the intervals [a, p] and (p, b), where a < p < b, with a finite jump at p. Form a uniform partition on the interval [a, p] with n grid points and another uniform partition on the interval [p, b] with m grid points, where p is a grid point of both partitions. Write a Riemann sum forand separate it into two pieces for [a, p] and [p, b]. Explain why 

Transcribed Image Text:

SS(x) dx Sf(x) dx = S"f(x) dx + S"f(x) dx. a