Sketch the region bounded by the curves `y=x^2a n dy=2/(1+x^2)` . Find the area.

Sketch the region bounded by the curves y=x^(2) and y=(2)/(1+x^(2)). Find the area.

Sketch the curves and identify the region bounded by the curves x=(1)/(2),x=2,y=log x an y=2^(x). Find the area of this region.

Sketch the region bounded by the curves y=sqrt(5-x^(2)) and y=|x-1| and find its area.

Indicate the region bounded by the curves y=x^(2),y=x+2 and x -axis and obtain the area enclosed by them

Sketch the region bounded by the curves y=log_(e)x and y=(log_(e)x)^(2). Also find the area of the region.

The area of the region bounded by the curves y=x^(2) " and " x=y^(2) is

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

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 bounded by the curve y = (x ^(2) + 2) ^(2) , the X-axis and the lines x =1 and x =3.