Using integration find the area of the triangular region whose sides have the equations `Y =2x + 1, y = 3x+1` and `x=4`.

Using integration, find the area of the region enclosed by the curves y^(2) = 4x and y = x.

The area of the triangle whose sides are along x=0, y=0 and 4 x+5 y=20 is

Using Integration, find the area of the region bounded by the curves y = x^(2) and y = x.

Using integration find the area of region bounded by the triangle whose vertices are (1, 0), (2, 2) and (3, 1).

Using integration, find the area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x^(2) + y^(2) = 18 .

Using integration find the area of the region in the first quadrant enclosed by the x- axis , the line y=x , ad circle x^2 +y^2 =32

Using integration find the area of the region bounded by the triangle whose vertices are (1,0),(2,2) and (3,1).