Mathematics - Area Under Curves Question with Solution | TestHub

A farmer$F_1$has a land in the shape of a triangle with vertices at$P\left(\mathrm{0,\; 0}\right),Q\left(\mathrm{1,\; 1}\right)$and$R\left(\mathrm{2,\; 0}\right).$From this land, a neighbouring farmer$F_2$takes away the region which lies between the side$PQ$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$\mathrm{30\%}$of the area of$∆PQR,$then the value of$n$is