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Let f(x) be a continuous function in R s...

Let `f(x)` be a continuous function in `R` such that `f(x)` does not vanish for all `x in R`. If `int_1^5 f(x)dx=int_-1^5 f(x)dx`, then in `R, f(x)` is (A) an even function (B) an odd function (C) a periodic function with period 5 (D) none of these

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