设f(x)在[a,b]上连续可导。且f(a)=f(b)=0.证明: |f(x)|≤1/2∫ab|f′(x)|dx(a<x<b).

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问题 设f(x)在[a,b]上连续可导。且f(a)=f(b)=0.证明:
|f(x)|≤1/2∫ab|f′(x)|dx(a<x<b).

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