Let h(x) be differentiable on [0,1] with h(0) = 0 and for all x E (0,1), 0

Let h(x) be differentiable on [0, 1] with h' (x) < 1. Prove that 1 h (x)dx By using Generalized Mean Value Theorem h(0) = 0 and for all xe (0, 1), 0 < 1