A curve y = f(x) is such that $f\left(x\right)\ge 0\text{and}f\left(0\right)=0$ and bounds a curvilinear triangle with the base [0,x] whose area is proportional to ${\left(n+1\right)}^{th}$ power of $f\left(x\right)\cdot \text{ If }f\left(1\right)=1$ then find f(x).

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