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If a function y=f(x) such that f'(x) is ...

If a function y=f(x) such that f'(x) is continuous function and satisfies
`(f(x))^(2)=k+underset(0)overset(x)int [{f(t)}^(2)+{f'(t)}^(2)]dt,k in R^(+) `, then find f(x)

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