Using integration, find the area of the region bounded by the following curves after making a rough sketch: `y=1+|x+1|, x=-2, x=3, y=0.`

Using the integration, find the area of he region bounded by the following curves, after making a rough sketch: y=1+|x+1|,\ x=-3,\ x=3,\ y=0.

Using integration, find the area of the region bounded by the curves y=x and y=x^(3) .

Using integration, find the area of the region bounded by the parabola y^2=16x and the line x=4

Using integration, find the area of the region bounded by the parabola y^(2)=4x and the line x=4 .

Using intergration, find the area of the region bounded by the lines y=|x+1|,x= -3, x=1 and X-axis.

Using integration, find the area of the region bounded by the lines y=1+abs(x+1), x=-2, x=3 and y=0 .

Using integration, find the area of the region bounded by the line x-y+2=0 , the curve x=sqrt(y) and y-"axis"

Find by integration the area of the region bounded by the curve y=2x-x^2 and the x-axis.

Find by integration the area of the region bounded by the curve y=2x-x^2 and the x-axis.

The area of the region bounded by the curves y=|x-1|andy=3-|x| is