Thread: Integrals problem 1

Let f and h be two integrable functions in [a,b]. Let M=sup|f(x)| when x in [a,b].

Prove that:
| int{f(x)*h(x)}dx | <=M*int{| h(x) |}dx

(The both integrals are from a to b)

We have

May you please do it by Reimann or Darboux sums?

Originally Posted by Also sprach Zarathustra

Let f and h be two integrable functions in [a,b]. Let M=sup|f(x)| when x in [a,b].

Prove that:
| int{f(x)*h(x)}dx | <=M*int{| h(x) |}dx

(The both integrals are from a to b)

What's wrong with what he did?