Let y f(x)be any nonnegative continuous function on the interval [0,1]()There exists xoE (0,1),such that the area of the rectangle with height f(x)onthe interval [0,xo]is equal to the area of the trapezoid with curved edge y=f(xo)on the interval [xo,1]:()-2(xLet f(x)be differentiable within the interval (0,1),and f(x)>-,provingthat xo in (i)is unique.