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Question

Find the curve y=f(x) where f(x)0,f(0)=0 bounding a curvilinear trapezoid with the base [0, x] whose area is proportional to (n+1)th power of f(x). It is known that f(1)=1.

A
y=x1/n
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B
y=x1/n
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C
y=xn
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D
y=xn
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