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Suppose f(x) is a continuous function and ∫ n+1 n f(x)dx = 0 for every integer n ≥ 0. Is it true that ∫ ∞ 0 f(x)dx = 0 ? True False

Suppose f(x) is a continuous function and ∫ n+1 n f(x)dx = 0 for every integer n ≥ 0. Is it true that ∫ ∞ 0 f(x)dx = 0 ? True False

Please explain why it would be True or why it would be false. Thanks

 

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Suppose f(x) is a continuous function and ∫ n+1 n f(x)dx = 0 for every integer n ≥ 0. Is it true that ∫ ∞ 0 f(x)dx = 0 ? True False

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