If is a continuous function such that 0 f x, y 1 over a region of area 1, prove that 0
Chapter 14, Problem 51(choose chapter or problem)
If f is a continuous function such that \(0\ \le\ f(x,\ y)\ \le\ 1\) over a region R of area 1, prove that \(0 \ \leq \ \int_{R} \int f(x, \ y) \ d \ A \ \leq \ 1\)
Text Transcription:
0 leq f(x, y) leq 1
0 leq int_R int f(x, y) d A leq 1
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