Question: Find the curve y = f(x) such that f(x) > 0, f(0) = 0, f(1), and the area under the graph of f from 0

Find the curve y = f(x) such that f(x) > 0, f(0) = 0, f(1), and the area under the graph of f from 0 to x is proportional to the (n + 1)st power of f(x).

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