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2011-11-22 7:47 am
✔ 最佳答案
∵f(x) be continuous on [a,b] and f(x)>=o
Assume f(x)≠0
so f(x)>0
∫(a,b)f(x)dx>0 (contradiction)(∵∫(a,b)f(x)dx=0)

so f(x)=0 for x in [a,b]


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