- #1

Q)Suppose f:[a,b]->R is (Riemann) integrable and satisfies m<=f(x)<=M for all element x is a member of set [a,b]. Prove from the defintion of the Riemann integral that

m(b-a)<=int[f(x).dx]<=M(b-a).

where the upper limit = b, the lower limit = a.

I can tell you know that your help is much appreciated.