This is a math real analysis

0 if a <><cLet a, b, c, d E R such that a < c < d < b. Let f : [a, b] - R, f(x) :=1 ifc<x<d.0 ifd <x<bProve that f is Riemann integrable on [a, b] and thatf =d-c.Remark: The function f defined above is called an elementary step function.Hint: Do not solve this question by directly applying the definition of Riemann integrability.Instead, combine already known results on Riemann integrability.