Find the area between the line `y=x+1` and the curve `y=x^(2)-1`

Find the area between the curves y = x and y = x^(2) .

Find the area between the curve y=x^2-x-2,x axis and the lines x=-2 and x=4 .

Find the area of the region bounded by the curve y = x^(2) and the line y = 4.

Find the area of the region bounded by the curve y = x^(2) and the line y = 4.

Find the area of the region bounded by the curves y = x^(2) + 2, y = x, x = 0 and x = 3.

The shortest distance between line y-x=1 and curve x=y^2 is

Find the area of the region bounded by the curves y=sqrt(x+2) and y=(1)/(x+1) between the lines x=0 and x=2.

Find the area of the region enclosed by the curve y=|x-(1)/(x)|(xgt0) and the line y=2

Find the area of the region bounded by the curve y^(2) = x and the lines x = 1, x = 4 and the x -axis.

Find the area of the region enclosed by the curve y = sqrt(x) +1 , the axis of x and the lines x =0 , x = 4 .