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Let f(x) is periodic function such that ...

Let f(x) is periodic function such that
`int _(0) ^(x) (f (t))^(3) dt = (1)/(x ^(2))(int _(0) ^(x) (f(t)dt ) ) ^(3) AA x in R- {0}`
Find the function` f (x) if (1) =1.`

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The correct Answer is:
`f (x)=1 `
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