Question: Let f(x) be a continuous function on [a,b].If, for all ( c , d ) [ a , b ] , c d f (

Let f(x) be a continuous function on [a,b].If, for all (c,d)[a,b],cdf(x)dx=0,

Prove that f(x)0 in [a,b] and what would the extension of this to three dimensions look like

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