Application of Integration

A farmer F1has a land in the shape of a triangle with vertices at ܲ(0,0),ܳ(1,1) and ܴ(2,0). From this land, a neighbouring farmer F2 takes away the region which lies between the side ܲܳ and a curve of the form y=xn(n>1). If the area of the region taken away by the farmer F2 is exactly 30% of the area of ΔPQR,then the value of ݊n is