If f : [a, b] R is continuous and if p R*[a, b] does not change sign

If f : [a, b] †’ R is continuous and if p ˆˆ R*[a, b] does not change sign on [a, b], and if f p ˆˆ R*[a, b], then there exists (This is a generalization of Exercise 7.2.16, it is called the First Mean Value Theorem for integrals.)

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E la, b) such that "it fp-f(E) p.