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Question

Mathematics Question on Methods of Integration

Let n ≥ 2 be a natural number and f:[0,1)]\rightarrow R be the function defined by

If n is such that the area of the region bounded by the curves x = 0, x = 1, y = 0 and y = f(x) is 4, then the maximum value of the function f is

Answer

The correct answer is 8