Lecture 22 Part 1 (Real Analysis 2020)

The Mean Value Theorem for Integrals, as motivated here, guarantees a point x₀ such that:

1. A.f(x₀) = f(b) − f(a)
2. B.f(x₀)(b − a) = ∫ₐᵇ f
3. C.f′(x₀) = ∫ₐᵇ f
4. D.∫ₐᵇ f = 0