Question: Let be a continuous function such that 0 (x, y) 1 over a region R of area 1. Prove that 0

Let ƒ be a continuous function such that 0 ≤ ƒ(x, y) ≤ 1 over a region R of area 1. Prove that 0 ≤ ∫R∫ ƒ(x, y)da ≤ 1.

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