Question: 2) [Exercise 5.2.5] Let f : [a,b] R be a continuous (and hence integrable) function. Suppose that f(x) > 0 for all [a,b] and that

2) [Exercise 5.2.5] Let f : [a,b] R be a continuous (and hence integrable) function. Suppose that f(x) > 0 for all [a,b] and that ff f(x)dx = 0. Prove that f is constant equal to 0

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