How many such function exists – math.stackexchange.com

How many such function exists – math.stackexchange.com

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Let,$f:[0,1]\to [0,\infty)$ be a continuous function such that $\int_0^x f(t)dt \geq f(x)$.Then how many such function exists? I think $e^x$ is such a function.Again,from the given condition ...

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