Question: Let 0 f(x) g(x) for all x in [0, 1], and let R and S be the regions under the graphs of f

Let 0 ≤ f(x) ≤ g(x) for all x in [0, 1], and let R and S be the regions under the graphs of f and g, respectively. Prove or disprove those yR ≤ yS.

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