若函数f(x)在[a,b]上连续,且f(x)>=0,且f(x)dx在[a,b]上的积分等于0,求证明在[a,b]上,f(x)恒等于0
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![若函数f(x)在[a,b]上连续,且f(x)>=0,且f(x)dx在[a,b]上的积分等于0,求证明在[a,b]上,f(x)恒等于0](/uploads/image/z/3783925-37-5.jpg?t=%E8%8B%A5%E5%87%BD%E6%95%B0f%28x%29%E5%9C%A8%5Ba%2Cb%5D%E4%B8%8A%E8%BF%9E%E7%BB%AD%2C%E4%B8%94f%28x%29%3E%3D0%2C%E4%B8%94f%28x%29dx%E5%9C%A8%5Ba%2Cb%5D%E4%B8%8A%E7%9A%84%E7%A7%AF%E5%88%86%E7%AD%89%E4%BA%8E0%2C%E6%B1%82%E8%AF%81%E6%98%8E%E5%9C%A8%5Ba%2Cb%5D%E4%B8%8A%2Cf%28x%29%E6%81%92%E7%AD%89%E4%BA%8E0)
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若函数f(x)在[a,b]上连续,且f(x)>=0,且f(x)dx在[a,b]上的积分等于0,求证明在[a,b]上,f(x)恒等于0
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