# 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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