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

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

cdf(x)dx=0,

Provef(x)0 in [a,b] in three dimensions.

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