JEE maths#17

Calculus Level 4

If \( f(x)\) is a continuous function such that \( f(x) > 0 \) for all \( x ≥ 0\), and \((f(x))^{2014} = 1 + \displaystyle\int_{0}^{x} f(t) \, dt\), then find the value of \( (f(2014))^{2013} \).


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