Using integration, find the area of the region bounded by the curve `y= 1+|x+1|` and lines `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 curve y^(2)=9x and lines x=1 and x=4.

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

Using integration find the area of the region bounded by the curves y=x^2+2 , y=x,x=0 and x=3.

Sketch the graph of y=|x+4|. Using integration find the area of the region bounded by the curve y=|x+4| and x= -6 and x=0.

Find the area of the region bounded by the curve xy=1 and the lines y=x,y=0,x=e