Let 0 c 1 and let f 0 f 0 1 R f x if x c 0 if x c Prove

Last updated: 2/1/2023

Let 0 c 1 and let f 0 f 0 1 R f x if x c 0 if x c Prove directly from the definition of Riemann integrability that f is Riemann integrable on 0 1 1 and that s Hint Let 8 0 and let P be a partition of 0 1 of mesh less than 8 Show that 0 U f P 28 by distinguishing the cases that c is a partition point of P and that c is not a partition point of P