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A farmer F(1) has a land in the shape of...

A farmer `F_(1)` has a land in the shape of a triangle with vertices at `P(0,0),Q(1,1) and R(2,0).` From this land, a neighboring farmer `F_(2)` takes away the region which lies between the side PQ and curve of the from `y=x^(n)(ngt1).` If the area of the region taken away by the farmer `F_(2)` is exactly `30%` of the area of `DeltaPQR`, then the value of n is ___.

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A farmer F_1 has a land in the shape of a triangle with vertices at P(0,\ 0),\ \ Q(1,\ 1) and R(2,\ 0) . From this land, a neighbouring farmer F_2 takes away the region which lies between the side P Q and a curve of the form y=x^n\ (n >1) . If the area of the region taken away by the farmer F_2 is exactly 30% of the area of P Q R , then the value of n is _______.

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